Meter per second to Mach number Converter

Convert meters per second to Mach numbers with our free online speed converter.

Quick Answer

1 Meter per second = 0.002915 Mach numbers

Formula: Meter per second × conversion factor = Mach number

Use the calculator below for instant, accurate conversions.

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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

Meter per second to Mach number Calculator

How to Use the Meter per second to Mach number Calculator:

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

Converting Meter per second to Mach number involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

1 Meter per second = 0.00291545 Mach numbers

Example Calculation:

Convert 60 meters per second: 60 × 0.00291545 = 0.174927 Mach numbers

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 Meter per second and a Mach number?

and Standards

The meter per second is defined as:

SI Definition

1 m/s = the velocity of a body that travels a distance of one meter in a time interval of one second.

Formula: v (m/s) = distance (m) / time (s)

SI coherence: The meter per second is a coherent derived unit, meaning it's derived directly from SI base units (meter and second) without numerical factors other than 1.

Why m/s is the "Standard"

Coherent unit integration: Physics equations work directly without conversion factors:

  • Force: F = ma → 1 Newton = 1 kg × 1 m/s² (acceleration in m/s²)
  • Momentum: p = mv → 1 kg·m/s (velocity in m/s)
  • Kinetic energy: KE = ½mv² → 1 Joule = 1 kg × (1 m/s)²
  • Power: P = Fv → 1 Watt = 1 N × 1 m/s

If you used km/h or mph, every equation would need messy conversion factors. Using m/s keeps mathematics clean and consistent across all branches of physics and engineering.

Standard Conversions

Metric conversions:

  • 1 m/s = 3.6 km/h (exactly, since 1 hour = 3,600 seconds)
  • 1 m/s = 0.001 km/s (kilometer per second)
  • 1 m/s = 100 cm/s (centimeter per second)
  • 1 m/s = 1,000 mm/s (millimeter per second)

Imperial/US conversions:

  • 1 m/s = 3.28084 ft/s (feet per second)
  • 1 m/s = 2.23694 mph (miles per hour)
  • 1 m/s = 196.850 ft/min (feet per minute)

Marine/aviation:

  • 1 m/s = 1.94384 knots (nautical miles per hour)
  • 1 m/s = 0.00291545 Mach (at sea level, 15°C standard atmosphere)

Relationship to Acceleration

Meters per second squared (m/s²) measures acceleration (rate of change of velocity):

  • Gravity: g = 9.8 m/s² (velocity increases 9.8 m/s every second when falling)
  • Car acceleration: 0-100 km/h in 5 seconds = average 5.6 m/s² acceleration
  • Space shuttle launch: ~30 m/s² (3g) maximum acceleration

and Standards

Mathematical Definition

The Mach number (symbol: M or Ma) is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

Formula: $$ M = \frac{u}{c} $$

Where:

  • M is the Mach number (dimensionless)
  • u is the local flow velocity (speed of the object relative to the fluid)
  • c is the speed of sound in the medium at local conditions

Why is it dimensionless? Because you are dividing speed by speed (m/s ÷ m/s), the units cancel out. Mach number is a pure ratio, like a percentage—it has no units.

Speed of Sound Calculation

The speed of sound in an ideal gas depends on temperature:

Formula: $$ c = \sqrt{\gamma \cdot R \cdot T} $$

Where:

  • γ (gamma) = ratio of specific heats (1.4 for air)
  • R = specific gas constant for air (287 J/(kg·K))
  • T = absolute temperature in Kelvin

Simplified for air: $$ c_{m/s} = 20.05 \sqrt{T_K} $$

Example at 15°C (288.15 K): $$ c = 20.05 \sqrt{288.15} = 20.05 \times 16.975 = 340.3 \text{ m/s} \approx 343 \text{ m/s} $$

Key insight: Sound speed increases with temperature. Hot air = faster sound. Cold air (high altitude) = slower sound.

The Five Speed Regimes

Aerodynamic forces, drag, and control characteristics change drastically at different Mach numbers:

1. Subsonic (M < 0.8)

  • Air flows smoothly around the object
  • No shock waves
  • Drag increases gradually with speed
  • All cars, most helicopters, propeller aircraft
  • Airflow remains attached to surfaces

2. Transonic (0.8 < M < 1.2)

  • Mixed subsonic and supersonic airflow
  • Shock waves form on wing surfaces before the aircraft reaches Mach 1
  • "Transonic drag rise"—drag increases dramatically
  • Buffeting and control difficulties
  • Modern airliners cruise at Mach 0.85 (just below transonic problems)
  • Requires swept wings and careful design

3. Supersonic (1.2 < M < 5.0)

  • Entire airflow is faster than sound
  • Shock waves form a "Mach cone" trailing the object
  • Sonic boom heard on ground
  • Higher drag than subsonic, but predictable
  • Requires sharp nose, swept or delta wings
  • Fighter jets, Concorde, SR-71 operate here

4. Hypersonic (M > 5.0)

  • Extreme speeds where air friction creates intense heat
  • Air molecules dissociate (break apart) from heat
  • Plasma forms around vehicle
  • Requires heat shields (ceramic tiles, ablative materials)
  • Space Shuttle re-entry, ICBMs, scramjets

5. High-Hypersonic (M > 10)

  • Chemistry of air changes completely
  • Thermal protection dominates design
  • Re-entry vehicles from orbit
  • Currently experimental

Note: The Meter per second is part of the metric (SI) system, primarily used globally in science and trade. The Mach number belongs to the imperial/US customary system.

History of the Meter per second and Mach number

and Evolution

The Metric System Birth (1790s)

French Revolution context: Pre-revolutionary France had hundreds of different units varying by region and trade, causing economic chaos and fraud. The revolutionary government sought rational, universal standards.

The meter (1793):

  • Defined as one ten-millionth (1/10,000,000) of the distance from the North Pole to the Equator through Paris
  • Physical standard: platinum bar stored in Paris
  • Intent: Based on Earth itself, accessible to all nations, unchanging

The second:

  • Already standardized internationally as 1/86,400 of a mean solar day
  • Based on Earth's rotation (later refined with atomic clocks)

Natural combination: Scientists and engineers naturally combined meters and seconds to express velocity, though initially various fractional units appeared (cm/s in CGS system, km/h for transportation).

19th Century: Scientific Standardization

CGS system (1860s-1870s):

  • Centimeter-gram-second system popular in physics
  • Velocity often expressed in cm/s (centimeters per second)
  • Used in electromagnetism, thermodynamics, fluid dynamics

MKS system (late 1800s):

  • Meter-kilogram-second system proposed by Giovanni Giorgi (1901)
  • m/s became the practical velocity unit for engineering
  • Better suited to human-scale measurements than cm/s

Metre Convention (1875):

  • Treaty of the Metre established International Bureau of Weights and Measures (BIPM)
  • Standardized meter and kilogram across signatory nations
  • Enabled consistent velocity measurements internationally—critical for:
    • Ballistics and military applications
    • Railway engineering (train speeds, braking distances)
    • Early aeronautics and automotive engineering

SI System Adoption (1960)

11th General Conference on Weights and Measures (CGPM, 1960):

  • Established the International System of Units (SI)
  • Formally designated m/s as the coherent derived unit for velocity
  • Unified previously fragmented metric systems (CGS, MKS, MTS)

Coherence principle: SI units multiply and divide to form other SI units without numerical factors:

  • Velocity (m/s) = distance (m) / time (s)
  • Acceleration (m/s²) = velocity (m/s) / time (s)
  • Force (N = kg·m/s²) = mass (kg) × acceleration (m/s²)
  • Momentum (kg·m/s) = mass (kg) × velocity (m/s)

Global adoption timeline:

  • 1960s-1970s: Scientific community worldwide adopts SI
  • 1970s-1980s: Most countries transition official measurements to SI
  • 1990s-2000s: International standards (ISO, IEC) require SI units
  • Current: ~195 countries use metric system officially; US, Liberia, Myanmar hold out for general use but use SI in science

The Speed of Light Definition (1983)

17th CGPM (1983): Redefined the meter based on the speed of light:

  • Speed of light in vacuum: c = 299,792,458 m/s (exactly, by definition)
  • The meter is now: the length of the path traveled by light in vacuum during a time interval of 1/299,792,458 of a second
  • The second is defined by atomic clocks (cesium-133 hyperfine transition)

Implications:

  • Fundamental constant traceability: m/s is now based on fundamental physics (speed of light), not human artifacts (meter bar)
  • Ultimate precision: Velocity measurements as accurate as atomic time measurements
  • Universal standard: Same meter per second measurement anywhere in universe

and Evolution

Ernst Mach: The Pioneer (1838-1916)

Ernst Mach was an Austrian physicist, philosopher, and experimental psychologist whose work laid the foundation for supersonic aerodynamics.

1887: Breakthrough Visualization

  • Mach developed schlieren photography to visualize airflow
  • First photographs of shock waves around supersonic bullets
  • Proved that projectiles create pressure waves that behave differently above and below sound speed
  • Published groundbreaking paper: "On the Photographing of Projectiles in Flight"

Mach's Insight: He recognized that the ratio of object speed to sound speed was the critical parameter determining aerodynamic behavior—not the absolute speed itself. A bullet at 2,000 mph at sea level behaves the same as one at 1,320 mph at 35,000 feet if both are at Mach 2.

Beyond Physics: Mach also contributed to philosophy (Mach's principle influenced Einstein) and psychology (Mach bands in visual perception).

Jakob Ackeret: Naming the Number (1929)

Jakob Ackeret (1898-1981), a Swiss aeronautical engineer, formalized the term "Mach number" in his 1929 paper on supersonic wind tunnels.

Why the honor? Ackeret wanted to recognize Mach's foundational work, even though Mach himself never used the term. The scientific community immediately adopted it.

World War II: The Transonic Crisis (1940s)

As fighter aircraft became more powerful, pilots encountered terrifying problems approaching Mach 1:

The "Sound Barrier" Myth:

  • Controls would lock up or reverse
  • Aircraft would shake violently (buffeting)
  • Some planes broke apart in dives
  • Many believed Mach 1 was an impenetrable physical barrier

The Real Problem: Transonic airflow created shock waves on wings, disrupting lift and control. Aircraft weren't designed for it.

Innovations Required:

  • Swept wings (delayed shock wave formation)
  • All-moving tail stabilizers (maintained control)
  • Thinner wing profiles
  • Rocket or jet propulsion (enough power to push through)

Chuck Yeager: Breaking the Barrier (1947)

October 14, 1947: The Historic Flight

Pilot: Captain Charles "Chuck" Yeager, US Air Force test pilot Aircraft: Bell X-1 (rocket-powered, orange, nicknamed "Glamorous Glennis") Location: Muroc Dry Lake (now Edwards Air Force Base), California

The Flight:

  • X-1 carried to 25,000 feet under a B-29 bomber
  • Dropped, Yeager fired rocket engines
  • Climbed to 43,000 feet
  • Reached Mach 1.06 (700 mph at that altitude)
  • First controlled supersonic flight in history
  • Sonic boom heard on ground

Yeager's Condition: He had two broken ribs from a horseback riding accident two days earlier. He flew anyway, using a broom handle to close the cockpit door.

Impact: Proved the "sound barrier" was not a barrier—just an engineering challenge. Launched the supersonic age.

The Supersonic Age (1950s-1970s)

1954: First supersonic fighter enters service (F-100 Super Sabre) 1964: SR-71 Blackbird first flight—Mach 3.3 capability 1969: Concorde first flight—Mach 2.04 cruise speed 1976: Concorde enters commercial service (London-New York in 3.5 hours)

The Dream and Reality:

  • Everyone expected supersonic travel would become routine
  • Reality: Sonic booms banned over land, fuel costs enormous
  • Only Concorde and Soviet Tu-144 entered service
  • Both retired (Concorde 2003, Tu-144 1978)

Modern Era (2000s-Present)

Hypersonic Research:

  • 2004: NASA X-43A reaches Mach 9.6 (scramjet)
  • 2010s: Hypersonic missiles development (Russia, China, US)
  • 2020s: Commercial supersonic revival attempts (Boom Supersonic, others)

Why No Supersonic Airliners Today?

  • Sonic boom restrictions over land
  • High fuel consumption (3x subsonic aircraft)
  • Smaller passenger capacity
  • Maintenance complexity
  • Environmental concerns

Common Uses and Applications: meters per second vs Mach numbers

Explore the typical applications for both Meter per second (metric) and Mach number (imperial/US) to understand their common contexts.

Common Uses for meters per second

Across Industries

Physics and Scientific Research

  • Fundamental constant: All velocity measurements in research papers reported in m/s
  • Kinematics: Position, velocity, acceleration equations use m/s and m/s²
  • Dynamics: Force, momentum, energy calculations require m/s for SI coherence
  • Relativity: Velocities expressed as fractions of c (speed of light in m/s)

Engineering

  • Mechanical engineering: Shaft speeds, piston velocities, fluid flow rates in m/s
  • Civil engineering: Wind loads, water flow in channels, traffic flow modeling
  • Aerospace engineering: Aircraft speeds, rocket velocities, orbital mechanics
  • Automotive engineering: Crash testing, braking distances, aerodynamic analysis

Meteorology and Climate Science

  • Wind speed: Anemometers calibrated in m/s, weather models use m/s internally
  • Storm classification: Hurricane/typhoon wind speeds in m/s (Saffir-Simpson scale)
  • Atmospheric circulation: Jet stream velocities, air mass movements
  • Ocean currents: Surface and deep ocean current speeds in m/s

Sports Science and Biomechanics

  • Performance analysis: Sprint speeds, swimming velocities, ball speeds
  • Equipment testing: Golf club head speed, tennis racket velocity, baseball pitch speed
  • Injury prevention: Impact velocities, deceleration rates during collisions
  • Training optimization: Treadmill speeds, cycling power-to-velocity relationships

Robotics and Automation

  • Motion control: Robot arm velocities, conveyor belt speeds
  • Autonomous vehicles: Speed sensing, collision avoidance calculations
  • Drones: Flight speed control, stability algorithms
  • Manufacturing: CNC machine tool speeds, assembly line velocities

When to Use Mach numbers

Across Industries

1. Aerospace Engineering

Aircraft Design:

  • Aircraft are designed specifically for their Mach regime
  • Subsonic (M < 0.8): Rounded nose, straight or slight sweep wings
  • Transonic (M 0.8-1.2): Swept wings, supercritical airfoils
  • Supersonic (M 1.2-5): Sharp nose, highly swept or delta wings
  • Hypersonic (M > 5): Waverider designs, blunt bodies for heat management

Wind Tunnel Testing:

  • Subsonic wind tunnels (M < 0.3)
  • Transonic wind tunnels (M 0.8-1.2)—most difficult to build
  • Supersonic wind tunnels (M 1.5-5)
  • Hypersonic wind tunnels (M 5-25)—very expensive, short duration

Instrumentation:

  • Machmeter: Cockpit instrument showing Mach number
  • Critical for high-altitude flight (indicated airspeed becomes misleading)
  • Combines pitot-static system with temperature measurement

2. Meteorology

Jet Streams:

  • High-altitude winds at 30,000-40,000 feet
  • Can reach 200+ knots (Mach 0.3-0.4 at altitude)
  • Airliners use tailwinds to save fuel (30-60 minutes on transatlantic flights)

3. Military Operations

Missile Classifications:

  • Subsonic cruise missiles: Mach 0.7-0.9 (Tomahawk)—stealthy, long range
  • Supersonic missiles: Mach 2-3 (most anti-aircraft missiles)—fast interception
  • Hypersonic missiles: Mach 5+ (under development)—extremely difficult to intercept

Sonic Boom Management:

  • Military supersonic flight over land restricted
  • Special clearance required
  • Training ranges over unpopulated areas

4. Automotive (Land Speed Records)

ThrustSSC (1997):

  • Only land vehicle to officially break sound barrier
  • Mach 1.02 (763 mph) at Black Rock Desert, Nevada
  • Driver: Andy Green (RAF pilot)
  • Two Rolls-Royce jet engines from Phantom fighter
  • Created sonic boom on land

Bloodhound LSR (in development):

  • Target: Mach 1.3+ (1,000+ mph)
  • Combination jet and rocket engines

Additional Unit Information

About Meter per second (m/s)

Why do we use m/s instead of km/h in physics?

SI coherence: The meter per second is a coherent SI unit, meaning it combines base SI units (meter, second) without numerical conversion factors. This makes physics equations work directly:

  • Force: F = ma where m is kg, a is m/s² → F is Newtons (kg·m/s²)
  • Energy: KE = ½mv² where m is kg, v is m/s → KE is Joules (kg·m²/s²)
  • Momentum: p = mv where m is kg, v is m/s → p is kg·m/s

If you used km/h, you'd need conversion factors in every equation:

  • 100 km/h = 27.78 m/s
  • KE = ½ × 1000 kg × (100 km/h)² requires converting km/h to m/s first
  • Using m/s keeps math simple and consistent across all physics

How fast is 1 m/s in everyday terms?

1 m/s ≈ slow walking pace

Imagine taking one large step (about 1 meter) every second. That's 1 m/s.

Equivalents:

  • 1 m/s = 3.6 km/h = 2.2 mph
  • Slower than average walking (1.4 m/s = 5 km/h)
  • About the pace of a leisurely stroll

Visual: If you're walking naturally and counting "one Mississippi, two Mississippi," you're covering about 1.4 meters per "Mississippi" (1.4 m/s).

What is the speed of light in m/s?

Exactly 299,792,458 m/s in vacuum (by definition)

This number is exact because the meter is actually defined based on the speed of light:

  • 1 meter = distance light travels in 1/299,792,458 of a second
  • Since 1983, the meter has been defined this way

Rounded for calculations: c ≈ 3 × 10⁸ m/s (300 million m/s)

In different materials:

  • Air: ~299,700,000 m/s (99.97% of vacuum speed)
  • Water: ~225,000,000 m/s (75% of vacuum speed)
  • Glass: ~200,000,000 m/s (67% of vacuum speed)

How do I convert m/s to knots?

Formula: knots = m/s × 1.94384

Step-by-step example (20 m/s to knots):

  1. 20 m/s × 1.94384 = 38.9 knots
  2. Or rough estimate: 20 × 2 = 40 knots

Quick approximation: Multiply by ~2 (actual: 1.944)

Common conversions:

  • 10 m/s = 19.4 knots
  • 15 m/s = 29.2 knots
  • 20 m/s = 38.9 knots (strong wind)
  • 25 m/s = 48.6 knots (gale force)
  • 30 m/s = 58.3 knots (storm force)

Why knots: One knot = one nautical mile per hour, where 1 nautical mile = 1,852 meters (approximately one minute of latitude).

m/s to knots converter →

Is m/s the same as "mps"?

Yes, informally, but m/s is the correct SI symbol.

Accepted notations:

  • m/s (official SI symbol, most common)
  • m·s⁻¹ (alternative SI notation using negative exponents)
  • m s⁻¹ (with space, less common)
  • mps (informal abbreviation, spoken English, not official)

Never use:

  • m/sec (mix of abbreviations)
  • mps with periods (m.p.s.)
  • MPS (capital letters change meaning)

In scientific writing: Always use m/s or m·s⁻¹

In speech: "meters per second" or informally "m-p-s" (spelling out letters)

What's the difference between speed and velocity?

Speed: Magnitude only (scalar) — how fast you're moving Velocity: Magnitude + direction (vector) — how fast + which way

Example:

  • Speed: "The car is traveling at 30 m/s"
  • Velocity: "The car is traveling at 30 m/s north" or "30 m/s at 45° from the x-axis"

In physics:

  • Both measured in m/s
  • Average speed = total distance / time
  • Average velocity = displacement / time (can be zero if you return to start!)

Practical:

  • Everyday language often uses "speed" for both concepts
  • Physics problems require careful distinction

How fast is the speed of sound in m/s?

343 m/s at 20°C (68°F) at sea level

Temperature dependence: Speed of sound increases with temperature

  • 0°C (32°F): 331 m/s
  • 15°C (59°F): 340 m/s
  • 20°C (68°F): 343 m/s
  • 25°C (77°F): 346 m/s
  • Formula: v ≈ 331 + 0.6T (where T is temperature in °C)

Altitude effects:

  • Sea level: ~343 m/s
  • 10,000 m altitude (jet cruise): ~299 m/s (colder air)
  • Stratosphere: varies widely with temperature inversions

Other materials (much faster in solids/liquids):

  • Water (20°C): 1,481 m/s (4.3× faster than air)
  • Steel: 5,960 m/s (17× faster than air)
  • Diamond: 12,000 m/s (35× faster than air)

Mach number: Mach 1 = speed of sound in that medium at that temperature

How do you calculate average velocity?

Formula: v_avg = Δx / Δt (displacement / time)

Where:

  • Δx = change in position (meters)
  • Δt = change in time (seconds)
  • Result in m/s

Example 1 (straight line):

  • Start: 0 m, End: 100 m, Time: 10 s
  • v_avg = (100 - 0) / 10 = 10 m/s

Example 2 (round trip):

  • Start: 0 m, travel to 100 m and back to 0 m, Time: 20 s
  • v_avg = (0 - 0) / 20 = 0 m/s (displacement is zero!)
  • Average speed = 200 m / 20 s = 10 m/s (speed uses total distance, not displacement)

What velocity do you need to reach orbit?

Low Earth Orbit (LEO): ~7,660 m/s (27,600 km/h, 17,150 mph)

Why so fast:

  • At this speed, centrifugal force balances gravity
  • You're constantly falling toward Earth but moving sideways fast enough to keep missing it
  • Orbit is continuous free fall

Velocity by altitude:

  • ISS altitude (400 km): 7,660 m/s
  • Geostationary orbit (35,786 km): 3,070 m/s (slower because higher orbit)
  • Moon's orbit: 1,022 m/s (around Earth at 384,400 km distance)

Escape velocity (leave Earth entirely): 11,200 m/s (40,320 km/h)

Challenge: Rockets must accelerate from 0 to 7,660 m/s while fighting gravity and air resistance—requires enormous energy.

How does wind speed in m/s relate to storm categories?

Beaufort Scale (wind force scale):

  • Calm: 0-0.5 m/s
  • Light air: 0.5-1.5 m/s
  • Light breeze: 1.5-3.3 m/s
  • Gentle breeze: 3.3-5.5 m/s
  • Moderate breeze: 5.5-8.0 m/s
  • Fresh breeze: 8.0-10.8 m/s
  • Strong breeze: 10.8-13.9 m/s
  • Near gale: 13.9-17.2 m/s
  • Gale: 17.2-20.8 m/s
  • Strong gale: 20.8-24.5 m/s
  • Storm: 24.5-28.5 m/s
  • Violent storm: 28.5-32.7 m/s
  • Hurricane: >32.7 m/s (>118 km/h, >73 mph)

Saffir-Simpson Hurricane Scale:

  • Category 1: 33-42 m/s (119-153 km/h, 74-95 mph)
  • Category 2: 43-49 m/s (154-177 km/h, 96-110 mph)
  • Category 3: 50-58 m/s (178-208 km/h, 111-129 mph)—major hurricane
  • Category 4: 58-70 m/s (209-251 km/h, 130-156 mph)
  • Category 5: >70 m/s (>252 km/h, >157 mph)—catastrophic

Can anything travel faster than light?

No physical object can reach or exceed the speed of light (c = 299,792,458 m/s) in vacuum.

Why (simplified):

  • As velocity approaches c, relativistic mass increases toward infinity
  • Would require infinite energy to accelerate to exactly c
  • Only massless particles (photons) travel at exactly c

Things that can "appear" to go faster:

  • Phase velocity (wave pattern speed): Can exceed c, but carries no information
  • Shadow/spot motion: If you sweep a laser across the Moon, the spot can move faster than c (but it's not a physical object moving)
  • Expansion of space: Distant galaxies recede faster than c due to space expansion, not their motion through space

Fastest things (relative to us):

  • Photons: c (exactly)
  • Neutrinos: ~c (very slightly slower, have tiny mass)
  • Fastest spacecraft (Parker Solar Probe): 163,000 m/s = 0.05% of c

About Mach number (Mach)

What is a sonic boom?

When an object travels faster than sound (Mach 1+), it creates pressure waves faster than they can propagate away. These waves pile up, forming a shock wave—a cone of intense pressure that trails the object like the wake of a boat.

The "Boom":

  • When this cone passes over you, you hear a sharp double "boom-boom"
  • First boom: nose shock wave
  • Second boom: tail shock wave
  • Sounds like thunder or an explosion
  • Can rattle windows, set off car alarms

Damage Potential:

  • Low-altitude supersonic flight: Can break windows, damage structures
  • High-altitude supersonic flight: Boom reaches ground weakened, sounds like distant thunder
  • Concorde cruised at 60,000 feet to minimize ground impact

Continuous: The sonic boom is continuous along the entire flight path, not just when "breaking" the barrier. Everyone below the flight path hears a boom as the cone passes over them.

Why did the Concorde stop flying?

Economic and Regulatory Challenges:

1. Sonic Boom Restrictions:

  • Banned from supersonic flight over most land masses
  • Limited to oceanic routes (transatlantic primarily)
  • Reduced potential markets dramatically

2. Fuel Consumption:

  • Burned 3x more fuel than subsonic jets per passenger
  • 17 tons per hour at Mach 2 cruise
  • Rising fuel costs made operation increasingly expensive

3. Limited Capacity:

  • Only 92-120 passengers (vs 400+ on Boeing 747)
  • Small market for ultra-premium tickets
  • Round-trip London-New York: $12,000+ (1990s-2000s)

4. Maintenance Costs:

  • Complex systems required extensive maintenance
  • Only two operators (British Airways, Air France)
  • No economies of scale

5. Air France Flight 4590 Crash (2000):

  • Metal debris on runway punctured tire
  • Debris hit fuel tank, caused fire
  • 113 killed
  • Led to temporary grounding, increased insurance costs
  • Public confidence damaged

Final Flight: October 24, 2003 (British Airways)

Modern Revival Attempts: Companies like Boom Supersonic developing new supersonic airliners with quieter "boom" and better fuel efficiency. Target: 2029-2030 service entry.

Can a car go Mach 1 on land?

Yes—but only one has officially done it.

ThrustSSC (1997):

  • Speed: 763 mph (Mach 1.016) on October 15, 1997
  • Location: Black Rock Desert, Nevada
  • Driver: Andy Green (Royal Air Force fighter pilot)
  • Power: Two Rolls-Royce Spey jet engines (from Phantom fighter jets)
  • Thrust: 110,000 lb (50,000 kg)
  • Weight: 10.5 tons
  • First land vehicle to create sonic boom

Challenges:

  • Extreme instability at transonic speeds
  • Required perfect desert surface (dry lake bed)
  • Aerodynamic design critical (shaped like a fighter jet)
  • Braking from 760 mph without flipping

Bloodhound LSR (In Progress):

  • Target: 1,000 mph (Mach 1.3)
  • Hybrid jet + rocket propulsion
  • Same driver (Andy Green)
  • Testing ongoing in South Africa

What is "Critical Mach Number"?

Critical Mach Number (Mcrit) is the speed at which airflow over any part of the aircraft first reaches Mach 1—even if the aircraft itself is flying slower than Mach 1.

Why This Happens:

  • Air accelerates as it flows over the curved upper surface of wings
  • Example: Aircraft flying at Mach 0.80, but airflow over wing reaches Mach 1.0

Consequences of Exceeding Mcrit:

  • Shock waves form on wing surface
  • Airflow separation behind shock waves
  • Loss of lift (buffeting, "Mach tuck")
  • Increased drag (transonic drag rise)
  • Control problems

Typical Values:

  • Straight wing aircraft: Mcrit ≈ 0.75-0.85
  • Swept wing aircraft: Mcrit ≈ 0.85-0.92
  • Supersonic fighters: Mcrit > 0.95

Maximum Mach Number (MMO):

  • Regulatory limit for aircraft (e.g., MMO = 0.90 for Boeing 737)
  • Pilots must not exceed this speed

How do pilots calculate Mach number?

Instrumentation:

1. Machmeter (Cockpit Instrument):

  • Combines pitot-static pressure measurements with temperature
  • Directly displays Mach number
  • Standard on all jet aircraft

2. Flight Management System (FMS):

  • Computer calculates Mach number continuously
  • Uses air data sensors (pitot tubes, static ports, temperature probes)
  • Displays on primary flight display

Manual Calculation: $$ M = \frac{TAS}{LSS} $$

Where:

  • TAS = True Airspeed (from airspeed indicator + altitude + temperature correction)
  • LSS = Local Speed of Sound = 38.94 × √T (where T is temperature in Kelvin)

Example:

  • Altitude: 35,000 feet
  • Temperature: -57°C = 216 K
  • TAS: 487 knots
  • LSS: 38.94 × √216 = 38.94 × 14.7 = 573 knots
  • Mach: 487 ÷ 573 = Mach 0.85

Is Mach 10 possible for aircraft?

Yes—but extremely challenging.

Achieved (Unmanned):

  • NASA X-43A (2004): Mach 9.6 (7,000 mph) for 10 seconds
  • Scramjet (supersonic combustion ramjet) technology
  • Hydrogen fuel
  • Launched from B-52 bomber + rocket booster
  • Unmanned test vehicle

Challenges at Mach 10:

1. Extreme Heat:

  • Air friction generates 3,000°F+ surface temperatures
  • Requires exotic materials (carbon-carbon composites, ceramics)
  • Active cooling systems needed

2. Engine Technology:

  • Turbojets don't work above ~Mach 3 (air too fast for compressor)
  • Ramjets work Mach 3-6 (no moving parts)
  • Scramjets needed above Mach 6 (air stays supersonic through engine)
  • Very low thrust-to-weight ratio

3. Control:

  • Hypersonic flight extremely unstable
  • Milliseconds to react
  • Requires autonomous flight control systems

Current Applications:

  • Hypersonic missiles: Russia (Kinzhal, Avangard), China (DF-ZF), US (under development)
  • Space access: Potential for single-stage-to-orbit vehicles
  • Research: NASA X-51 Waverider (Mach 5.1 sustained, 2013)

What is the fastest Mach number ever achieved?

By Manned Aircraft:

  • SR-71 Blackbird: Mach 3.3 (2,193 mph) sustained cruise
  • X-15 rocket plane: Mach 6.72 (4,520 mph) in 1967—still holds record

By Unmanned Aircraft:

  • NASA X-43A: Mach 9.6 (7,000 mph) in 2004

By Spacecraft:

  • Space Shuttle re-entry: Mach 25 (17,500 mph)
  • Apollo 10 (1969): Mach 36 (24,791 mph)—fastest manned vehicle ever
  • Parker Solar Probe: Mach 550+ (430,000 mph relative to Sun)—fastest human-made object

By Natural Objects:

  • Meteors: Mach 50-200+ entering atmosphere

Why do some fighter jets have "supercruise"?

Supercruise is the ability to fly supersonic (Mach 1+) without using afterburners.

Traditional Supersonic Flight:

  • Requires afterburner (raw fuel sprayed into exhaust, ignited)
  • Increases thrust 40-70%
  • Burns 3-5x more fuel
  • Can only sustain for minutes

Supercruise Advantages:

  • Fuel efficiency: Supersonic cruise without afterburner
  • Extended supersonic duration: Hours instead of minutes
  • Lower heat signature: Harder to detect with infrared missiles
  • Greater range: Less refueling needed

Aircraft with Supercruise:

  • F-22 Raptor: Mach 1.8 supercruise
  • Eurofighter Typhoon: Mach 1.5 supercruise
  • Dassault Rafale: Mach 1.4 supercruise
  • Concorde: Mach 2.04 supercruise (civilian application)

How It's Achieved:

  • Extremely efficient engines (high bypass turbofans with afterburner)
  • Aerodynamic design minimizing supersonic drag
  • High thrust-to-weight ratio

How loud is a sonic boom?

Loudness varies by altitude and aircraft size:

Concorde:

  • At 60,000 feet cruise: 100-110 decibels on ground (sounds like distant thunder)
  • At 40,000 feet: 120+ decibels (can break windows)

Fighter Jet:

  • Low-altitude supersonic pass: 130-140 decibels (painfully loud, like artillery)
  • High-altitude: 90-100 decibels (loud but not painful)

Comparison:

  • Normal conversation: 60 dB
  • Lawn mower: 90 dB
  • Rock concert: 110 dB
  • Jet engine (close): 140 dB
  • Gunshot: 160 dB

Perceived Impact:

  • Overpressure: 1-2 pounds per square foot (psf) typical for Concorde at cruise altitude
  • 5+ psf: Can break windows
  • 10+ psf: Structural damage to buildings

Why Banned Over Land:

  • Continuous disturbance along entire flight path
  • Affects thousands of people per flight
  • Disrupts wildlife
  • Property damage lawsuits

Can shock waves be photographed?

Yes—through schlieren photography.

Technique:

  • Uses light refraction to visualize air density gradients
  • Invented by August Toepler (1864), refined by Ernst Mach (1887)
  • Shock waves create sharp density changes = visible patterns

Modern Applications:

  • Wind tunnel testing: Visualizing airflow over models
  • Ballistics research: Photographing bullets in flight
  • NASA testing: X-59 "quiet supersonic" aircraft development
  • Airshows: Ground-based cameras capturing fighter jets' shock waves

Iconic Images:

  • Ernst Mach's 1888 bullet shock wave photographs
  • NASA's T-38 shock wave interaction photos
  • Schlieren video of sonic booms passing over landscape

Smartphone Era:

  • High-speed smartphone cameras can sometimes capture shock wave patterns from fighter jets with proper lighting conditions

Conversion Table: Meter per second to Mach number

Meter per second (m/s)Mach number (Mach)
0.50.002
10.003
1.50.004
20.006
50.015
100.029
250.073
500.146
1000.292
2500.729
5001.458
1,0002.916

People Also Ask

How do I convert Meter per second to Mach number?

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What is the conversion factor from Meter per second to Mach number?

The conversion factor depends on the specific relationship between Meter per second and Mach number. 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 Mach number back to Meter per second?

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What are common uses for Meter per second and Mach number?

Meter per second and Mach number are both standard units used in speed measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our speed converter for more conversion options.

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Verified Against Authority Standards

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NIST Speed and Velocity

National Institute of Standards and TechnologyStandards for speed and velocity measurements

Last verified: December 3, 2025