Cycles per Second (cps) - Unit Information & Conversion
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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)
Why was cps changed to hertz?
Reasons for the 1960 change:
- Brevity: "Hz" is shorter than "cycles per second"
- Honor: Named after Heinrich Hertz who proved electromagnetic wave existence
- Standardization: Consistent with ampere, watt, volt, newton, pascal
- International: Single symbol understood globally
- 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
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
Cycles per Second Conversion Formulas
To Hertz:
To Millihertz:
To Kilohertz:
To Megahertz:
To Gigahertz:
To Terahertz:
To Revolutions per Minute:
To Revolutions per Second:
To Beats per Minute:
To Radians per Second:
Convert Cycles per Second
Need to convert Cycles per Second to other frequency units? Use our conversion tool.
Cycles per Second Quick Info
Related Frequency Units
Popular Conversions
- Cycles per Second to HertzConvert →1 cps = 1 Hz
- Cycles per Second to MillihertzConvert →1 cps = 1000 mHz
- Cycles per Second to KilohertzConvert →1 cps = 0.001 kHz
- Cycles per Second to MegahertzConvert →1 cps = 0.000001 MHz
- Cycles per Second to GigahertzConvert →1 cps = 1.0000e-9 GHz
- Cycles per Second to TerahertzConvert →1 cps = 1.0000e-12 THz