Year to Second Converter

Convert years to seconds with our free online time converter.

Quick Answer

1 Year = 31556952 seconds

Formula: Year × conversion factor = Second

Use the calculator below for instant, accurate conversions.

Our Accuracy Guarantee

All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.

Last verified: December 2025Reviewed by: Sam Mathew, Software Engineer

Year to Second Calculator

How to Use the Year to Second Calculator:

  1. Enter the value you want to convert in the 'From' field (Year).
  2. The converted value in Second will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Time category.
  4. Click the swap button (⇌) to reverse the conversion direction.
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How to Convert Year to Second: Step-by-Step Guide

Converting Year to Second involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

1 Year = 3.1557e+7 seconds

Example Calculation:

Convert 60 years: 60 × 3.1557e+7 = 1.8934e+9 seconds

Disclaimer: For Reference Only

These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.

Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.

What is a Year and a Second?

A year is a unit of time based on the orbital period of Earth around the Sun. The word "year" derives from Old English gēar, Proto-Germanic jǣram, related to "to go" (referring to the Sun's apparent journey through the sky).

Types of Years

Tropical year (solar year):

  • 365.2422 days (365 days, 5 hours, 48 minutes, 46 seconds)
  • Time between successive vernal equinoxes (spring returns)
  • Basis for Gregorian calendar (tracks seasons accurately)

Julian year (scientific standard):

  • Exactly 365.25 days = 31,557,600 seconds
  • Used in astronomy, physics for consistent conversions
  • Averages Julian calendar leap year cycle (3 × 365 + 1 × 366 ÷ 4)

Sidereal year:

  • 365.2564 days (365 days, 6 hours, 9 minutes, 10 seconds)
  • Time for Earth to complete one orbit relative to fixed stars
  • ~20 minutes longer than tropical year due to precession of equinoxes

Calendar year (Gregorian):

  • 365 days (common year, 3 out of 4 years)
  • 366 days (leap year, every 4 years with exceptions)
  • Average: 365.2425 days (97 leap years per 400 years)

Year Conversions (Julian Year = 365.25 days)

| Unit | Value | Calculation | |----------|-----------|-----------------| | Days | 365.25 | Standard definition | | Hours | 8,766 | 365.25 × 24 | | Minutes | 525,960 | 8,766 × 60 | | Seconds | 31,557,600 | 525,960 × 60 | | Weeks | 52.18 | 365.25 ÷ 7 | | Months | 12 | Standard calendar division |


What Is a Second?

The second (symbol: s) is the SI base unit of time, defined with extraordinary precision using atomic physics rather than astronomical observations.

Official SI definition (since 1967): The second is the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom at absolute zero temperature and at rest.

In simpler terms:

  • Caesium-133 atoms oscillate at a precise frequency when energized
  • One second equals exactly 9,192,631,770 of these oscillations
  • This provides a natural, unchanging standard independent of Earth's rotation

Why this matters: This atomic definition provides accuracy to better than 1 second in 100 million years for modern atomic clocks, enabling:

  • GPS navigation (accuracy requires nanosecond precision)
  • Global telecommunications synchronization
  • Scientific experiments requiring extreme precision
  • Financial transaction timestamps
  • Internet infrastructure coordination

Second vs. Other Time Units

Subdivisions of the second:

  • 1 decisecond (ds) = 0.1 s = 10⁻¹ s (rarely used)
  • 1 centisecond (cs) = 0.01 s = 10⁻² s (stopwatch hundredths)
  • 1 millisecond (ms) = 0.001 s = 10⁻³ s (computer operations)
  • 1 microsecond (μs) = 0.000001 s = 10⁻⁶ s (electronics, photography)
  • 1 nanosecond (ns) = 0.000000001 s = 10⁻⁹ s (computer processors, GPS)
  • 1 picosecond (ps) = 10⁻¹² s (laser physics, molecular vibrations)
  • 1 femtosecond (fs) = 10⁻¹⁵ s (ultrafast lasers, chemical reactions)

Multiples of the second:

  • 60 seconds = 1 minute
  • 3,600 seconds = 1 hour
  • 86,400 seconds = 1 day
  • 604,800 seconds = 1 week
  • 31,536,000 seconds = 1 year (365 days)
  • 31,557,600 seconds = 1 Julian year (365.25 days)

Note: The Year is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Second belongs to the imperial/US customary system.

History of the Year and Second

of the Year

1. Ancient Solar Observation (Pre-3000 BCE)

The concept of the year originated from observing seasonal cycles—the return of spring, flooding seasons, astronomical events (solstices, equinoxes).

Key observations:

  • Vernal equinox (spring): Day and night equal length (~March 20)
  • Summer solstice: Longest day (~June 21)
  • Autumnal equinox (fall): Day and night equal (~September 22)
  • Winter solstice: Shortest day (~December 21)
  • Tropical year: Time between successive vernal equinoxes = 365.24 days

Why critical? Agricultural societies needed to predict:

  • Planting seasons (spring planting window)
  • Flooding cycles (Nile River flooded annually June-September)
  • Harvest times (fall harvest before winter)
  • Animal migration patterns

2. Early Calendar Systems (3000-1000 BCE)

Egyptian Calendar (c. 3000 BCE):

  • 365 days = 12 months × 30 days + 5 epagomenal days
  • No leap years = drifted ~1 day every 4 years = full cycle every 1,460 years (Sothic cycle)
  • Divided into 3 seasons: Inundation (Akhet), Growth (Peret), Harvest (Shemu)
  • Problem: Calendar drifted from actual seasons (harvest festivals gradually moved through calendar)

Babylonian Calendar (c. 2000 BCE):

  • Lunisolar: 12 lunar months (~354 days) + intercalary 13th month every 2-3 years
  • Metonic cycle (discovered ~432 BCE): 19 solar years ≈ 235 lunar months (7 intercalary months in 19 years)
  • Better seasonal alignment than pure lunar or 365-day solar calendar

Chinese Calendar (c. 1600 BCE):

  • Lunisolar: 12-13 months per year, intercalary months added algorithmically
  • Still used today for Chinese New Year (late January to mid-February)

Mesoamerican Calendars (c. 1000 BCE):

  • Haab (Maya civil calendar): 365 days = 18 months × 20 days + 5 unlucky days (Wayeb)
  • Tzolk'in (ritual calendar): 260 days = 13 numbers × 20 day names
  • Calendar Round: 52 Haab years = 73 Tzolk'in cycles (18,980 days)

3. Roman Calendar Evolution (753 BCE - 46 BCE)

Romulus Calendar (753 BCE - legendary):

  • 10 months, 304 days, starting in March (spring equinox)
  • Winter gap (~61 days) unnamed = calendar chaos

Numa Pompilius Reform (c. 713 BCE):

  • Added January and February = 12 months, 355 days
  • Required intercalary month (Mercedonius) inserted periodically = political corruption
  • Calendar drifted severely (festivals months off from intended seasons)

Problem by 46 BCE: Calendar drifted ~3 months ahead of seasons (spring equinox in mid-summer)

4. Julian Calendar (46 BCE - 1582 CE)

Julius Caesar's reform (46 BCE):

  • Consulted Egyptian astronomer Sosigenes of Alexandria
  • 365.25-day year: 365 days + leap day every 4 years (February 29)
  • 46 BCE = "Year of Confusion" (445 days long) to realign calendar with seasons
  • January 1 established as New Year (previously March 1)

Julian leap year rule:

  • Every year divisible by 4 = leap year (e.g., 4, 8, 12, ... 2020, 2024)
  • Simple, systematic = dramatic improvement over irregular Roman intercalation

Problem with Julian calendar:

  • Tropical year = 365.2422 days (not exactly 365.25)
  • Julian calendar gains ~11 minutes per year = 3 days every 400 years
  • By 1582 CE: Calendar drifted 10 days ahead (vernal equinox on March 11 instead of March 21)

5. Gregorian Calendar (1582 CE - Present)

Pope Gregory XIII's reform (1582):

  • Goal: Restore vernal equinox to March 21 (for Easter calculation)
  • Correction: Removed 10 days (October 4, 1582 → October 15, 1582)
  • New leap year rule:
    1. Year divisible by 4 = leap year (like Julian)
    2. EXCEPT century years (1700, 1800, 1900, 2100) = NOT leap year
    3. EXCEPT century years divisible by 400 (1600, 2000, 2400) = leap year
  • Result: 97 leap years per 400 years = 365.2425 days average
  • Accuracy: Only 27 seconds/year error = 1 day off every ~3,030 years

Why the reform?

  • Easter calculation: Christian Easter tied to vernal equinox (first Sunday after first full moon after March 21)
  • Julian drift moved equinox to March 11 = Easter dates increasingly inaccurate
  • Catholic Church needed calendar reform for liturgical calendar

Global adoption:

  • Catholic countries (Spain, Portugal, Italy, Poland): Immediately (October 1582)
  • Protestant countries: Resisted initially (religious conflict with Catholic Pope)
    • Britain and colonies: 1752 (removed 11 days: Sept 2 → Sept 14)
    • Germany (Protestant states): 1700 (removed 10 days)
  • Eastern Orthodox: 1900s (Russia 1918, Greece 1923)
  • Non-Christian countries: 20th century for civil purposes
    • Japan: 1873 (Meiji era modernization)
    • China: 1912 (Republic of China)
    • Turkey: 1926 (Atatürk's secular reforms)
  • Now universal for international business, diplomacy, science

6. Modern Refinements and Proposals

Leap second (introduced 1972):

  • Earth's rotation gradually slowing (tidal friction from Moon)
  • Atomic clocks (SI second) vs. Earth's rotation = gradual drift
  • Leap second occasionally added (usually June 30 or December 31) to keep atomic time within 0.9 seconds of Earth rotation
  • 27 leap seconds added 1972-2016 (~1 per 1.5 years average)

Failed calendar reform proposals:

  • World Calendar (1930s-1960s): 4 identical quarters, perpetual calendar (same dates always same day of week), extra "worldsday" outside week
  • International Fixed Calendar (early 1900s): 13 months × 28 days + 1 extra day (year day)
  • Opposition: Religious groups (Sabbath observance), businesses (calendar change costs), cultural inertia

Why Gregorian calendar persists despite imperfections:

  • Universal adoption = massive switching cost
  • "Good enough": 1-day error every 3,030 years = negligible for practical purposes
  • Cultural entrenchment: Decades, centuries, millennia aligned with current system

Ancient Origins: Babylonian Mathematics (3000 BCE)

The division of time into units of 60 has roots in ancient Babylonian sexagesimal (base-60) mathematics:

Why base-60?

  • Highly divisible: 60 has divisors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
  • Finger counting: Babylonians counted 12 finger segments (phalanges) on one hand using the thumb, repeated 5 times for the other hand (12 × 5 = 60)
  • Astronomical convenience: 360 days approximated the year (6 × 60), aligning with the 360-degree circle

Time divisions established:

  • 1 day = 24 hours (2 × 12)
  • 1 hour = 60 minutes
  • 1 minute = 60 seconds

This system spread through ancient Egypt, Greece, and Rome, persisting for over 4,000 years.

Medieval Development: Mechanical Clocks (1200s-1600s)

The word "second" derives from Medieval Latin "pars minuta secunda" meaning "second minute part" (the second division of the hour):

  • First division: Hour divided into 60 "pars minuta prima" (first minute parts) = minutes
  • Second division: Minute divided into 60 "pars minuta secunda" (second minute parts) = seconds

Early mechanical clocks (1200s-1300s):

  • Displayed only hours, no minute or second hands
  • Too imprecise to measure seconds accurately
  • Driven by falling weights and escapement mechanisms

Pendulum revolution (1656):

  • Christiaan Huygens invented the pendulum clock
  • First clocks accurate enough to measure seconds reliably
  • Pendulum period provided regular "tick" for second counting
  • Accuracy improved from 15 minutes/day to 15 seconds/day

Marine chronometers (1700s):

  • John Harrison developed precise clocks for navigation (1730s-1760s)
  • Accurate timekeeping enabled longitude determination at sea
  • Precision to within 1 second per day

Astronomical Definition: Mean Solar Second (1832-1967)

In 1832, the second was formally defined as 1/86,400 of a mean solar day:

  • Mean solar day: Average length of a solar day over a year (accounts for Earth's elliptical orbit)
  • 86,400 seconds: 24 hours × 60 minutes × 60 seconds

Problems with astronomical definition:

  1. Earth's rotation is irregular: Tidal friction gradually slows rotation (~2 milliseconds per century)
  2. Seasonal variations: Earth's orbit affects day length by milliseconds
  3. Unpredictable fluctuations: Earthquakes, atmospheric changes affect rotation
  4. Increasing demand for precision: Radio, telecommunications, science required better accuracy

By the 1950s, astronomical observations showed the "second" was not constant—the length varied by parts per million depending on the era.

Atomic Revolution: Caesium Standard (1955-1967)

1955 - First caesium atomic clock:

  • Louis Essen and Jack Parry at UK's National Physical Laboratory built the first caesium atomic clock
  • Demonstrated caesium-133 atoms oscillate at precisely 9,192,631,770 Hz
  • Accuracy: 1 second in 300 years (far exceeding astronomical clocks)

1967 - Official redefinition: The 13th General Conference on Weights and Measures (CGPM) redefined the second:

"The second is the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom."

Why caesium-133?

  • Atomic property: Transition frequency is a fundamental constant of nature
  • Highly stable: Unaffected by temperature, pressure, or electromagnetic fields
  • Reproducible: Any caesium-133 atom behaves identically
  • Practical: Relatively easy to construct atomic clocks using caesium

Impact:

  • Timekeeping became independent of Earth's rotation
  • Precision improved from parts per million to parts per trillion
  • Enabled GPS, internet synchronization, telecommunications, and modern science

Modern Atomic Clocks (1990s-Present)

Caesium fountain clocks (1990s):

  • Atoms launched upward in "fountain" configuration
  • Gravity slows atoms, allowing longer measurement time
  • Accuracy: 1 second in 100 million years

Optical lattice clocks (2000s-2020s):

  • Use strontium or ytterbium atoms instead of caesium
  • Operate at optical frequencies (100,000× higher than caesium)
  • Accuracy: 1 second in 15 billion years (age of the universe!)
  • May redefine the second in future decades

Applications requiring atomic precision:

  • GPS satellites: Nanosecond errors cause position errors of ~1 foot
  • High-frequency trading: Microsecond timestamps for financial transactions
  • Telecommunications: Synchronizing cell towers and internet infrastructure
  • Science: Detecting gravitational waves, testing relativity, fundamental physics

Leap Seconds: Reconciling Atomic and Astronomical Time

The problem:

  • Atomic time (TAI): Runs at constant rate based on caesium clocks
  • Earth rotation (UT1): Slows gradually due to tidal friction
  • Difference: ~2 milliseconds per day (accumulates ~1 second every 18 months)

Solution: Leap seconds (since 1972):

  • Coordinated Universal Time (UTC) = atomic time adjusted to stay within 0.9 seconds of Earth rotation
  • Leap second: Extra second added (or removed) on June 30 or December 31
  • 27 leap seconds added between 1972-2016 (none since 2016)

Controversy:

  • Leap seconds cause problems for computer systems, GPS, networks
  • Debate ongoing about abolishing leap seconds in favor of pure atomic time
  • Possible change may occur in the 2030s

Common Uses and Applications: years vs seconds

Explore the typical applications for both Year (imperial/US) and Second (imperial/US) to understand their common contexts.

Common Uses for years

and Applications

1. Age Calculation

Formula: Current year - Birth year = Age (approximate, adjust if birthday hasn't occurred yet)

Example 1: Born 1990, current year 2025

  • Age = 2025 - 1990 = 35 years old (if birthday already passed)
  • Age = 34 years old (if birthday hasn't occurred yet this year)

Precise age calculation:

  • Born: March 15, 1990
  • Today: January 10, 2025
  • Age = 2025 - 1990 - 1 = 34 years old (birthday hasn't passed yet, subtract 1)

Century calculation:

  • Born 1999: "90s kid" or "90s baby"
  • Born 2000-2009: "2000s kid"
  • Born 2010+: "2010s kid" or Gen Alpha

2. Interest and Investment Calculations

Simple interest (annual):

  • Formula: Interest = Principal × Rate × Time
  • Example: $10,000 at 5% APR for 3 years
    • Interest = $10,000 × 0.05 × 3 = $1,500
    • Total = $10,000 + $1,500 = $11,500

Compound interest (annual compounding):

  • Formula: Future Value = Principal × (1 + Rate)^Years
  • Example: $10,000 at 5% APY for 3 years
    • FV = $10,000 × (1.05)³ = $10,000 × 1.157625 = $11,576.25

Rule of 72 (doubling time):

  • Formula: Years to double ≈ 72 ÷ Interest Rate
  • Example: 8% annual return → 72 ÷ 8 = 9 years to double
  • $10,000 at 8% → $20,000 in 9 years

3. Depreciation (Asset Value Decline)

Straight-line depreciation:

  • Formula: Annual Depreciation = (Cost - Salvage Value) ÷ Useful Life Years
  • Example: $30,000 car, $5,000 salvage, 5-year life
    • Annual depreciation = ($30,000 - $5,000) ÷ 5 = $5,000/year
    • Year 1: $30,000 - $5,000 = $25,000
    • Year 2: $25,000 - $5,000 = $20,000

Accelerated depreciation:

  • Cars typically lose 20-30% value first year, then 15-20% annually
  • Electronics: Often lose 30-50% value first year

4. Project and Timeline Planning

Standard project durations:

  • 1-year project: Long-term strategic initiative
  • Multi-year projects: Infrastructure (3-10 years), construction (2-5 years), software development (1-3 years)

Gantt charts and timelines:

  • Years as major milestones
  • Year 1: Planning and design
  • Year 2: Development and construction
  • Year 3: Testing and deployment
  • Year 4: Operations and maintenance

5. Insurance and Contracts

Insurance terms:

  • Term life insurance: 10-year, 20-year, 30-year terms
    • Premiums locked for term duration
    • Coverage expires at end of term unless renewed
  • Auto insurance: 6-month or 1-year policies (renewed annually/semi-annually)
  • Health insurance: 1-year open enrollment period (select plan for following year)

Employment contracts:

  • 1-year contract: Fixed-term employment (common for contractors, academics)
  • Multi-year contracts: Athletes (3-5 year contracts), executives (2-4 years)
  • Non-compete clauses: Often 1-2 years after leaving company

Leases:

  • Apartment leases: 1-year standard (12 months)
  • Commercial leases: 3-10 years typical
  • Car leases: 2-4 years (24-48 months)

6. Statistical and Data Analysis

Time series data:

  • Annual data points: GDP growth rate (year-over-year), population (annual census estimates)
  • Trend analysis: "5-year moving average" smooths short-term fluctuations

Year-over-year (YoY) comparisons:

  • Formula: YoY Growth = (This Year - Last Year) ÷ Last Year × 100%
  • Example: Revenue $10M (2023) → $12M (2024)
    • YoY growth = ($12M - $10M) ÷ $10M × 100% = 20% YoY growth

Compound Annual Growth Rate (CAGR):

  • Formula: CAGR = (Ending Value ÷ Beginning Value)^(1/Years) - 1
  • Example: Revenue $10M (2020) → $15M (2025) = 5 years
    • CAGR = ($15M ÷ $10M)^(1/5) - 1 = 1.5^0.2 - 1 = 0.0845 = 8.45% CAGR

7. Warranty and Guarantee Periods

Product warranties:

  • Electronics: 1-year manufacturer warranty (e.g., Apple 1-year limited warranty)
  • Appliances: 1-2 years parts and labor
  • Cars: 3-year/36,000-mile bumper-to-bumper, 5-year/60,000-mile powertrain
  • Home construction: 1-year builder warranty (workmanship), 10-year structural

Service guarantees:

  • Software licenses: 1-year subscription (renewable)
  • Extended warranties: 2-5 years beyond manufacturer warranty

When to Use seconds

The second is the universal foundation for all time measurement in modern civilization:

1. Timekeeping and Clocks

Everyday timekeeping:

  • Wristwatches and clocks display hours, minutes, seconds
  • Smartphones synchronize to atomic time via network
  • Wall clocks, alarm clocks, digital displays
  • Public time displays (train stations, airports, town squares)

Precision timekeeping:

  • Atomic clocks: Caesium, rubidium, hydrogen maser clocks
  • GPS satellites: Carry atomic clocks for navigation
  • Scientific facilities: National metrology institutes maintain primary time standards
  • Network Time Protocol (NTP): Synchronizes computer clocks to microsecond accuracy

2. Scientific Research and Experiments

Physics experiments:

  • Measuring particle lifetimes (nanoseconds to picoseconds)
  • Timing light pulses in lasers (femtoseconds)
  • Gravitational wave detection (millisecond timing precision)
  • Quantum mechanics experiments (Planck time: 10⁻⁴⁴ seconds)

Chemistry:

  • Reaction kinetics and rates
  • Spectroscopy (measuring light absorption/emission frequencies)
  • Femtochemistry (bond breaking/forming at femtosecond scale)

Biology:

  • Neural signal timing (milliseconds)
  • Cellular processes (seconds to hours)
  • Ecological cycles (days, seasons, years measured in seconds)

3. Computing and Digital Systems

Processor operations:

  • CPU clock speeds measured in GHz (billions of cycles/second)
  • Instruction execution times (nanoseconds)
  • Cache latency, memory access times

Software and programming:

  • Timestamps (Unix time: seconds since January 1, 1970)
  • Timeouts and delays
  • Animation frame rates (60 frames/second = 0.0167 s/frame)
  • Video frame rates (24, 30, 60 FPS)

Database and logging:

  • Transaction timestamps (millisecond or microsecond precision)
  • System logs with second-level granularity
  • Performance monitoring (operations/second)

4. Telecommunications and Networking

Network synchronization:

  • Cell towers synchronized to GPS time (nanosecond precision)
  • Internet infrastructure timing
  • 5G networks require nanosecond coordination
  • Precision Time Protocol (PTP) for industrial networks

Data transmission:

  • Bit rates measured in bits/second (Mbps, Gbps)
  • Latency measured in milliseconds
  • Packet timing and queuing

5. Navigation and GPS

Global Positioning System:

  • Atomic clocks on satellites (accuracy ~10 nanoseconds)
  • Signal travel time calculations
  • Position accuracy requires nanosecond precision
  • GNSS systems (GPS, GLONASS, Galileo, BeiDou)

Aviation:

  • Aircraft navigation timing
  • Air traffic control coordination
  • Flight duration measurements

6. Financial and Trading

High-frequency trading:

  • Microsecond timestamps on transactions
  • Trading algorithms execute in microseconds
  • Market data feeds timestamped to nanoseconds
  • Regulatory requirements for precise time-stamping

Banking:

  • Transaction timestamps
  • Interest calculations (per second for some instruments)
  • Automated trading systems

7. Sports and Athletics

Competition timing:

  • Track and field (0.01 second precision)
  • Swimming (0.01 second precision)
  • Skiing, bobsled (0.01 second precision)
  • Motor racing (0.001 second precision)

Training and performance:

  • Stopwatches for interval training
  • Heart rate monitors (beats/second)
  • Pace calculations (minutes per kilometer/mile)
  • Reaction time testing

8. Manufacturing and Industrial

Process control:

  • Machine cycle times (seconds)
  • Assembly line timing
  • Quality control measurements
  • Synchronization of robots and automation

Industrial timing:

  • Conveyor belt speeds
  • Injection molding cycle times (2-60 seconds typical)
  • 3D printing layer times
  • Chemical process durations

Additional Unit Information

About Year (yr)

1. How many days are in a year?

It depends on the type of year:

  • Common year (Gregorian): 365 days (occurs 3 out of 4 years)
  • Leap year (Gregorian): 366 days (occurs every 4 years, with exceptions)
  • Julian year (scientific standard): Exactly 365.25 days
  • Tropical year (astronomical): 365.2422 days (365 days, 5 hours, 48 minutes, 46 seconds)
  • Gregorian average: 365.2425 days (97 leap years per 400 years)

For most conversions: Use 365.25 days (Julian year standard).

2. What is a leap year?

Leap year: Year with 366 days instead of 365, adding February 29 (leap day).

Gregorian leap year rule:

  1. Year divisible by 4 → leap year (e.g., 2024, 2028)
  2. EXCEPT century years (1700, 1800, 1900, 2100) → NOT leap year
  3. EXCEPT century years divisible by 400 (1600, 2000, 2400) → leap year

Why leap years?

  • Tropical year = 365.2422 days (not exactly 365)
  • Without leap years: Calendar drifts ~1 day every 4 years = 25 days every century
  • Leap years keep calendar aligned with seasons

Next leap years: 2024, 2028, 2032, 2036, 2040, 2044, 2048

3. Why is 365.25 days often used for a year in calculations?

365.25 days = Julian year, the scientific standard for conversions and calculations.

Calculation: Average of Julian calendar leap year cycle

  • 3 common years (365 days each) + 1 leap year (366 days) = 1,461 days
  • 1,461 days ÷ 4 years = 365.25 days/year

Advantages:

  • Exact value (no decimals beyond 2 places)
  • Simple calculations: Multiply by 365.25 for day conversions
  • Scientific standard: Used in astronomy, physics, engineering
  • Defined precisely: 1 Julian year = 31,557,600 seconds exactly

When to use 365.25: General conversions, scientific calculations, multi-year projections.

When NOT to use: Specific date calculations (use actual calendar with leap years).

4. How many seconds are in a year?

Julian year (365.25 days):

  • 1 year = 365.25 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute
  • 1 year = 365.25 × 86,400 seconds/day
  • 1 year = 31,557,600 seconds exactly

Tropical year (365.2422 days):

  • 365.2422 × 86,400 = 31,556,925.2 seconds (astronomical year)

Common year (365 days):

  • 365 × 86,400 = 31,536,000 seconds

Leap year (366 days):

  • 366 × 86,400 = 31,622,400 seconds

Standard answer: 31,557,600 seconds (Julian year).

5. What is the difference between calendar year and fiscal year?

Calendar year:

  • January 1 - December 31
  • Standard Gregorian calendar year
  • Used for personal taxes (US), general dating, most non-business contexts

Fiscal year (FY):

  • Any 12-month accounting period chosen by organization for financial reporting
  • Often NOT January-December
  • Allows companies to align reporting with business cycles

Common fiscal years:

  • US federal government: October 1 - September 30 (FY2025 = Oct 2024-Sep 2025)
  • UK government: April 1 - March 31
  • Retailers: Often end January 31 (includes holiday season)
  • Universities: Often July 1 - June 30 (aligns with academic year)

Why different fiscal years?

  • Seasonal businesses: Retailers want holiday sales (Nov-Dec) mid-year, not at year-end (accounting complexity)
  • Budgeting cycles: Governments approve budgets before fiscal year starts
  • Tax planning: Align fiscal year with tax advantages

6. How old am I in years?

Simple formula: Current year - Birth year (adjust if birthday hasn't passed)

Precise calculation:

  1. Subtract birth year from current year
  2. If current date < birthday this year, subtract 1

Example 1:

  • Born: June 15, 1995
  • Today: October 20, 2025
  • Age = 2025 - 1995 = 30 (birthday already passed in 2025) → 30 years old

Example 2:

  • Born: November 10, 1995
  • Today: October 20, 2025
  • Age = 2025 - 1995 - 1 = 29 (birthday hasn't passed yet in 2025) → 29 years old

Programming formula:

age = current_year - birth_year
if (current_month < birth_month) OR (current_month == birth_month AND current_day < birth_day):
    age = age - 1

7. What is the tropical year vs. sidereal year?

Tropical year (solar year):

  • 365.2422 days (365 days, 5 hours, 48 minutes, 46 seconds)
  • Time between successive vernal equinoxes (spring returns)
  • Basis for Gregorian calendar (tracks seasons)
  • What we use for civil calendar

Sidereal year:

  • 365.2564 days (365 days, 6 hours, 9 minutes, 10 seconds)
  • Time for Earth to complete one orbit relative to fixed stars
  • ~20 minutes (~0.014 days) longer than tropical year

Why the difference?

  • Precession of equinoxes: Earth's rotational axis wobbles (like spinning top)
  • Axis completes full wobble every ~25,800 years (Platonic year)
  • Vernal equinox drifts westward ~50 arcseconds per year relative to stars
  • Result: Tropical year (season-based) slightly shorter than sidereal year (star-based)

Which to use?

  • Tropical year: Calendar purposes (Gregorian calendar tracks seasons)
  • Sidereal year: Astronomy (tracking Earth's orbit relative to stars)

8. Why did the Gregorian calendar replace the Julian calendar?

Problem with Julian calendar:

  • Julian year = 365.25 days (365 days + leap day every 4 years)
  • Tropical year = 365.2422 days
  • Difference: 365.25 - 365.2422 = 0.0078 days/year = ~11 minutes/year
  • Drift: 3 days every 400 years

Impact by 1582:

  • Calendar drifted 10 days ahead of seasons (1,257 years × 11 min/year ≈ 10 days)
  • Vernal equinox on March 11 instead of March 21
  • Easter calculation increasingly inaccurate (tied to vernal equinox)

Gregorian solution:

  • Removed 10 days immediately (Oct 4, 1582 → Oct 15, 1582)
  • New leap year rule: Skip 3 leap years every 400 years (century years not divisible by 400)
  • Result: 365.2425 days/year average (97 leap years per 400 years)
  • Error: Only 27 seconds/year = 1 day off every ~3,030 years

Success: Gregorian calendar now universal for civil purposes worldwide.

9. What are decade, century, and millennium?

Decade:

  • 10 years
  • Examples: 1990s (1990-1999), 2020s (2020-2029)
  • Casual usage: Often refers to cultural/generational period

Century:

  • 100 years
  • 20th century = 1901-2000 (NOT 1900-1999, because no year 0)
  • 21st century = 2001-2100 (NOT 2000-2099)
  • Notation: "19th century" or "1800s" (informal)

Millennium:

  • 1,000 years
  • 1st millennium = 1-1000 CE
  • 2nd millennium = 1001-2000 CE
  • 3rd millennium = 2001-3000 CE
  • Y2K (Year 2000) celebrated new millennium, but technically started 2001

Why century/millennium boundaries confusing?

  • No year 0 in Gregorian calendar (1 BCE → 1 CE)
  • 1st century = years 1-100 (not 0-99)
  • Centuries numbered one ahead of their "hundreds digit" (1900s = 20th century)

10. How many hours/minutes are in a year?

Julian year (365.25 days):

  • Hours: 365.25 days × 24 hours/day = 8,766 hours
  • Minutes: 8,766 hours × 60 minutes/hour = 525,960 minutes
  • Seconds: 525,960 minutes × 60 seconds/minute = 31,557,600 seconds

Common year (365 days):

  • Hours: 365 × 24 = 8,760 hours
  • Minutes: 8,760 × 60 = 525,600 minutes (famous from musical "Rent": "525,600 minutes, how do you measure a year?")

Leap year (366 days):

  • Hours: 366 × 24 = 8,784 hours
  • Minutes: 8,784 × 60 = 527,040 minutes

Standard answer: 8,766 hours or 525,960 minutes (Julian year).

11. What is a leap second?

Leap second: Extra second occasionally added to Coordinated Universal Time (UTC) to keep atomic time synchronized with Earth's rotation.

Why needed?

  • Atomic clocks (SI second): Extremely precise, constant
  • Earth's rotation: Gradually slowing (tidal friction from Moon ~2 milliseconds per century)
  • Drift: Atomic time gradually diverges from Earth's actual rotation
  • Solution: Add leap second when difference approaches 0.9 seconds

Implementation:

  • Usually added June 30 or December 31
  • Clock reads: 23:59:59 → 23:59:60 → 00:00:00 (extra second)
  • 27 leap seconds added 1972-2016 (~1 every 1.5 years)
  • No leap seconds 2017-present (Earth's rotation hasn't required it)

Controversy:

  • Causes computer system problems (software doesn't expect 60-second minutes)
  • Proposed abolition: Let atomic time and Earth rotation drift, adjust in larger increments decades later

12. How do I convert years to other units?

Quick conversion formulas (Julian year = 365.25 days):

Years to days:

  • days = years × 365.25
  • Example: 3 years = 3 × 365.25 = 1,095.75 days

Years to weeks:

  • weeks = years × 52.18 (365.25 ÷ 7)
  • Example: 2 years = 2 × 52.18 = 104.36 weeks

Years to months:

  • months = years × 12
  • Example: 5 years = 5 × 12 = 60 months

Years to hours:

  • hours = years × 8,766 (365.25 × 24)
  • Example: 1 year = 8,766 hours

Years to seconds:

  • seconds = years × 31,557,600 (365.25 × 86,400)
  • Example: 1 year = 31,557,600 seconds

Years to decades/centuries:

  • decades = years ÷ 10
  • centuries = years ÷ 100

About Second (s)

What is the base unit of time in the SI system?

The second (s) is the base unit of time in the International System of Units (SI). It's one of the seven SI base units, alongside meter (length), kilogram (mass), ampere (current), kelvin (temperature), mole (amount of substance), and candela (luminous intensity).

All other time units (minute, hour, day, year) are derived from the second.

Why is the second defined using atoms?

The atomic definition provides a much more stable and precise standard than relying on Earth's rotation, which fluctuates.

Problems with astronomical definition:

  • Earth's rotation slows by ~2 milliseconds per century (tidal friction)
  • Seasonal variations affect day length
  • Unpredictable fluctuations from earthquakes, atmospheric changes
  • Accuracy limited to ~1 part per million

Advantages of atomic definition:

  • Fundamental constant: Caesium-133 transition frequency is a property of nature
  • Reproducible: Any caesium-133 atom behaves identically
  • Stable: Unaffected by external conditions (temperature, pressure)
  • Precise: Modern atomic clocks accurate to 1 second in 100 million years

Result: GPS, telecommunications, science, and technology require nanosecond precision impossible with astronomical timekeeping.

How many seconds are in a minute?

There are exactly 60 seconds in 1 minute.

This derives from ancient Babylonian base-60 (sexagesimal) mathematics, which established 60 as the standard division for time over 4,000 years ago.

Conversions:

  • 1 minute = 60 seconds
  • 2 minutes = 120 seconds
  • 5 minutes = 300 seconds
  • 10 minutes = 600 seconds

How many seconds are in an hour?

There are exactly 3,600 seconds in 1 hour.

Calculation:

  • 1 hour = 60 minutes
  • 1 minute = 60 seconds
  • 1 hour = 60 × 60 = 3,600 seconds

Conversions:

  • 1 hour = 3,600 seconds
  • 2 hours = 7,200 seconds
  • 12 hours = 43,200 seconds
  • 24 hours (1 day) = 86,400 seconds

How many seconds are in a day?

There are 86,400 seconds in 1 day (24 hours).

Calculation:

  • 1 day = 24 hours
  • 1 hour = 3,600 seconds
  • 1 day = 24 × 3,600 = 86,400 seconds

Breakdown:

  • 24 hours × 60 minutes/hour × 60 seconds/minute = 86,400 seconds

Note: This assumes a standard 24-hour day. Due to Earth's rotation irregularities, actual solar days vary by milliseconds. Leap seconds are occasionally added to keep atomic time synchronized with Earth rotation.

How many seconds are in a year?

A standard 365-day year contains 31,536,000 seconds.

Calculation:

  • 365 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute
  • = 365 × 86,400
  • = 31,536,000 seconds

Variations:

  • Leap year (366 days): 31,622,400 seconds
  • Julian year (365.25 days, average): 31,557,600 seconds
  • Tropical year (365.2422 days, Earth orbit): 31,556,925 seconds

Fun fact: The song "Seasons of Love" from Rent states "525,600 minutes" in a year, which equals 31,536,000 seconds (365 days).

What is a millisecond?

A millisecond (ms) is one-thousandth of a second: 0.001 seconds or 10⁻³ seconds.

Conversions:

  • 1 second = 1,000 milliseconds
  • 1 millisecond = 0.001 seconds
  • 1 minute = 60,000 milliseconds

Common uses:

  • Computer response times (1-100 ms)
  • Network ping times (1-300 ms typical)
  • Human reaction time (~200 ms)
  • Video frame duration (60 FPS = 16.67 ms/frame)
  • Stopwatch hundredths (0.01 s = 10 ms)

What is a nanosecond?

A nanosecond (ns) is one-billionth of a second: 0.000000001 seconds or 10⁻⁹ seconds.

Conversions:

  • 1 second = 1,000,000,000 nanoseconds (1 billion)
  • 1 millisecond = 1,000,000 nanoseconds (1 million)
  • 1 microsecond = 1,000 nanoseconds

Reference points:

  • Light travels 30 cm (1 foot) in 1 nanosecond
  • Computer processor operations: ~0.2-1 nanosecond
  • GPS timing precision: ~10 nanoseconds
  • RAM memory access: ~50-100 nanoseconds

Grace Hopper's demonstration: Computer pioneer Grace Hopper famously distributed 30cm lengths of wire to represent "one nanosecond" (distance light travels in 1 ns) to illustrate the importance of speed in computing.

Why are there 60 seconds in a minute instead of 100?

The 60-second minute derives from ancient Babylonian base-60 (sexagesimal) mathematics developed around 3000 BCE, over 1,000 years before the decimal system.

Reasons for base-60:

1. High divisibility: 60 has 12 divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

  • Easy to divide into halves, thirds, quarters, fifths, sixths
  • 100 (decimal) has only 9 divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100

2. Finger counting method:

  • Count 12 finger segments (phalanges) on one hand using thumb
  • Track count on other hand: 12 × 5 fingers = 60

3. Astronomical convenience:

  • ~360 days per year ≈ 6 × 60
  • Circle divided into 360 degrees (6 × 60)
  • Babylonian astronomy used these divisions

4. Historical persistence: The system spread through Egyptian, Greek, and Roman civilizations and became too entrenched to change. When mechanical clocks developed in medieval Europe, they adopted the existing Babylonian time divisions.

Attempts to decimalize time:

  • French Revolutionary Calendar (1793-1805): 10-hour day, 100-minute hour, 100-second minute
  • Failed: Too difficult to change clocks, conversion from traditional system
  • Result: We still use Babylonian base-60 for time, but base-10 (decimal) for most other measurements

How accurate are atomic clocks?

Modern atomic clocks are extraordinarily accurate:

Caesium atomic clocks (standard):

  • Accuracy: 1 second in 100 million years
  • Precision: Parts per trillion (10⁻¹²)
  • Used in GPS satellites, national time standards

Caesium fountain clocks (advanced):

  • Accuracy: 1 second in 300 million years
  • Precision: Better than 10⁻¹⁵
  • Used by metrology institutes (NIST, PTB, NPL)

Optical lattice clocks (state-of-the-art):

  • Accuracy: 1 second in 15-30 billion years
  • Precision: 10⁻¹⁸ to 10⁻¹⁹
  • Use strontium, ytterbium, or aluminum ions
  • So precise they detect gravitational time dilation across centimeters of height

Comparison:

  • Quartz watch: 1 second in 1-10 days (10⁻⁵ accuracy)
  • Mechanical watch: 1-10 seconds per day (10⁻⁴ to 10⁻⁵)
  • Sundial: Minutes per day (10⁻³)
  • Atomic clock: 1 second in 100 million years (10⁻¹⁶)

Why this matters: GPS requires 10-nanosecond precision; a 1-microsecond error causes 300-meter position errors.

What are leap seconds and why do we need them?

Leap seconds are occasional one-second adjustments added to Coordinated Universal Time (UTC) to keep it synchronized with Earth's rotation.

The problem:

  • Atomic time (TAI): Runs at constant rate based on caesium clocks, unchanging
  • Earth rotation (UT1): Slows gradually due to tidal friction (~2 milliseconds per day longer)
  • Discrepancy: Accumulates ~1 second every 18-24 months

Solution:

  • Add (or theoretically remove) 1 second on June 30 or December 31
  • Keeps UTC within 0.9 seconds of Earth rotation time (UT1)
  • 27 leap seconds added between 1972 and 2016
  • No leap seconds since 2016 (Earth rotation has been slightly faster recently)

How it works: Instead of 23:59:59 → 00:00:00, the sequence is: 23:59:59 → 23:59:60 → 00:00:00 (leap second inserted)

Controversy:

  • Problems: Computer systems, GPS, networks struggle with leap seconds (software bugs, crashes)
  • Proposed solution: Abolish leap seconds, let UTC and UT1 drift apart
  • Debate: Ongoing since 2000s; decision may be made in 2026-2030s

Current status: Leap seconds remain in use, but their future is uncertain.


Conversion Table: Year to Second

Year (yr)Second (s)
0.515,778,476
131,556,952
1.547,335,428
263,113,904
5157,784,760
10315,569,520
25788,923,800
501,577,847,600
1003,155,695,200
2507,889,238,000
50015,778,476,000
1,00031,556,952,000

People Also Ask

How do I convert Year to Second?

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What is the conversion factor from Year to Second?

The conversion factor depends on the specific relationship between Year and Second. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.

Can I convert Second back to Year?

Yes! You can easily convert Second back to Year by using the swap button (⇌) in the calculator above, or by visiting our Second to Year converter page. You can also explore other time conversions on our category page.

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What are common uses for Year and Second?

Year and Second are both standard units used in time measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our time converter for more conversion options.

For more time conversion questions, visit our FAQ page or explore our conversion guides.

All Time Conversions

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Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Time and Frequency

National Institute of Standards and TechnologyOfficial time standards and definitions

BIPM Second Definition

Bureau International des Poids et MesuresDefinition of the SI base unit for time

Last verified: December 3, 2025