Cycles per Second (cps) - Unit Information & Conversion

Symbol:cps
Plural:cps
Category:Frequency

🔄 Quick Convert Cycles per Second

What is a Cycles per Second?

Cycles per second (cps) is the historical name for hertz (Hz), measuring the number of complete oscillations or cycles in one second. Replaced by hertz in 1960 but still used in some contexts.

History of the Cycles per Second

Used as the standard frequency unit before 1960. At the 11th General Conference on Weights and Measures (CGPM) in 1960, "cycles per second" was officially replaced with "hertz" to honor Heinrich Hertz. Still appears in older documentation and some specific fields.

Quick Answer

What is Cycles per Second? Cycles per second (cps) is the old name for hertz (Hz). 1 cps = 1 Hz = 1 complete oscillation per second. The term "hertz" replaced "cycles per second" in 1960 to honor physicist Heinrich Hertz. You may see "cps" in older technical documents, but Hz is now standard. 1 cps = 1 Hz exactly. Use our frequency converter for instant conversions.

Key Facts: Cycles per Second

Property Value
Symbol cps
Quantity Frequency
System Metric/SI Derived
Derived from Hertz
Category Frequency
Standard Body NIST / ISO

Definition

1 cps = 1 Hz = 1 cycle per second = 1 complete oscillation per second

History

Before 1960: "Cycles per second" was the standard term

  • Common abbreviations: c/s, c.p.s., cps, ~/s

1960: Renamed to "hertz" (Hz)

  • Honors Heinrich Hertz (1857-1894)
  • Adopted at 11th CGPM (General Conference on Weights and Measures)
  • Simplified terminology and standardized notation

Why the change?

  • Shorter, more convenient
  • Honors a pioneering physicist
  • Consistent with other SI units named after scientists (ampere, watt, volt, etc.)
  • International standardization

Common Uses (Historical & Current)

Historical Technical Documents: Pre-1960 radio, electronics, and acoustics literature - understanding older specs. Some Fields Still Use "cycles": Audio engineering may say "cycles" colloquially. Education: Teaching frequency concepts before introducing Hz notation. Older Equipment: Vintage test equipment labeled in cps. Legacy Systems: Industrial control systems that predate 1960 standardization.

Real-World Historical Conversions

Old Radio Frequency Standards (cps/kc/s notation)

How vintage equipment was labeled:

Service Old Notation Modern (Hz) Equipment Era
AC Power 60 cps 60 Hz Pre-1960 all regions
AM Radio 550-1600 kc/s 550-1600 kHz 1920s-present
Shortwave 3-30 Mc/s 3-30 MHz 1920s-present
FM Radio 88-108 Mc/s 88-108 MHz 1930s-present
VHF TV 54-216 Mc/s 54-216 MHz 1940s-present
UHF TV 470-890 Mc/s 470-890 MHz 1950s-present
CB Radio 26.5-27.4 Mc/s 26.5-27.4 MHz 1960s-present

Key insight: Old radio frequencies still use the same band ranges; only the notation changed

Equipment Labeling Over Time

How the same frequency was labeled on test equipment:

Equipment Type Pre-1960 Label Post-1960 Label Actual Frequency
Oscilloscope "Freq: 1000 cps" "Freq: 1 kHz" 1,000 Hz
Signal generator "Output: 100 kc/s" "Output: 100 kHz" 100,000 Hz
Frequency meter "0-10 Mc/s range" "0-10 MHz range" 0-10,000,000 Hz
Audio analyser "10 cps - 100 kc/s" "10 Hz - 100 kHz" 10 Hz to 100,000 Hz

Reading old manuals: Simply replace "cps" with "Hz", "kc/s" with "kHz", "Mc/s" with "MHz"

Audio Engineering Historical Terminology

How audio specs evolved:

Spec Old Notation Modern Notation Context
Human hearing 20-20,000 cps 20-20,000 Hz Audible frequency range
Telephone 300-3,400 cps 300-3,400 Hz Bandwidth limit
AM radio Modulation up to 5 kc/s Modulation up to 5 kHz Bandwidth
FM radio Modulation up to 15 kc/s Modulation up to 15 kHz Bandwidth
High-fidelity audio 20-20 kc/s flat response 20-20 kHz flat response Frequency response spec

Colloquial: Audio engineers might still say "20-20 cycles" informally, but professionally use "Hz"

Prefix Equivalence Over Time

How metric prefixes worked with cycles/second:

Modern (Hz) Old Notation Value
Hz cps or c/s 1
kHz kc/s or kc 1,000
MHz Mc/s or Mc 1,000,000
GHz Gc/s (rarely used) 1,000,000,000
THz Tc/s (extremely rare) 1,000,000,000,000

Complexity: Using Mc/s and kc/s together was awkward (mixing metric with old terminology)

Is cps the same as Hz?

Yes, exactly the same:

  • 1 cps = 1 Hz
  • 1 kilocycles per second (kcps or kc/s) = 1 kHz
  • 1 megacycles per second (Mcps or Mc/s) = 1 MHz

Only difference: Terminology and era

  • cps: Used before 1960
  • Hz: Used from 1960 onwards (current standard)

Example conversions:

  • 60 cps = 60 Hz (AC power)
  • 1000 cps = 1 kHz (audio frequency)
  • 100,000 cps = 100 kHz (AM radio range)

cps to Hz converter →

Why was cps changed to hertz?

Reasons for the 1960 change:

  1. Brevity: "Hz" is shorter than "cycles per second"
  2. Honor: Named after Heinrich Hertz who proved electromagnetic wave existence
  3. Standardization: Consistent with ampere, watt, volt, newton, pascal
  4. International: Single symbol understood globally
  5. Simplicity: Easier for metric prefixes (kHz, MHz, GHz vs kcps, Mcps, Gcps)

The change was purely nomenclature - the measurement itself remained identical.

When do I still see "cycles per second"?

Where you might encounter cps:

Historical documents:

  • Pre-1960 radio manuals
  • Vintage audio equipment
  • Old electrical engineering textbooks

Colloquial use:

  • Audio engineers may say "cycles" informally
  • Explaining frequency concepts to beginners
  • When emphasizing the cyclic nature

Vintage equipment:

  • Old oscilloscopes
  • Antique signal generators
  • Historical test equipment

Recommendation: Use Hz in all modern contexts. Only use cps when discussing historical equipment or documents.

How do I convert kc/s (kilocycles per second) to Hz?

Formula: Hz = kc/s × 1,000

Examples:

  • 1 kc/s = 1,000 Hz = 1 kHz
  • 10 kc/s = 10,000 Hz = 10 kHz
  • 1000 kc/s = 1,000,000 Hz = 1 MHz

Old radio terminology:

  • AM radio: 550-1600 kc/s = 550-1600 kHz
  • Shortwave: 3-30 Mc/s = 3-30 MHz

kHz to Hz converter →

What is Mc/s (megacycles per second)?

Mc/s = Megacycles per second (historical term)

Modern equivalent: MHz (megahertz)

Conversion: 1 Mc/s = 1 MHz = 1,000,000 Hz

Historical usage:

  • FM radio: 88-108 Mc/s → now 88-108 MHz
  • VHF TV: 54-216 Mc/s → now 54-216 MHz
  • Old radio communications

Old abbreviations:

  • Mc/s, Mc, Mcps all meant megacycles per second
  • Now standardized as MHz

MHz to Hz converter →

Cycles per Second Conversion Formulas

To Hertz:

1 cps = 1 Hz
Example: 5 cps = 5 hertz

To Millihertz:

1 cps = 1000 mHz
Example: 5 cps = 5000 millihertz

To Kilohertz:

1 cps = 0.001 kHz
Example: 5 cps = 0.005 kilohertz

To Megahertz:

1 cps = 0.000001 MHz
Example: 5 cps = 0.000005 megahertz

To Gigahertz:

1 cps = 1.0000e-9 GHz
Example: 5 cps = 5.0000e-9 gigahertz

To Terahertz:

1 cps = 1.0000e-12 THz
Example: 5 cps = 5.0000e-12 terahertz

To Revolutions per Minute:

1 cps = 60 rpm
Example: 5 cps = 300 rpm

To Revolutions per Second:

1 cps = 1 rps
Example: 5 cps = 5 rps

To Beats per Minute:

1 cps = 60 bpm
Example: 5 cps = 300 bpm

To Radians per Second:

1 cps = 6.283185 rad/s
Example: 5 cps = 31.415927 rad/s

Convert Cycles per Second

Need to convert Cycles per Second to other frequency units? Use our conversion tool.