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Revolutions per Minute to Cycles per Second Converter

Convert revolutions per minute to cycles per second and back instantly with formula and common values.

rpm

Cycles per Second

0.8

cps

48 rpm = 0.8 cps

cps = rpm × 0.016667

Revolutions per Minute to Cycles per Second: 1 rpm equals 0.016667 cps. To convert revolutions per minute to cycles per second, multiply by 0.016667 (cps = rpm × 0.016667). For example, 10 rpm = 0.16667 cps.

How to Convert Revolutions per Minute to Cycles per Second

To convert from revolutions per minute to cycles per second, multiply the value by 0.016667. The conversion is linear, meaning doubling the input doubles the output.

Conversion Formula

  • Revolutions per Minute to Cycles per Second: cps = rpm × 0.016667
  • Cycles per Second to Revolutions per Minute: rpm = cps ÷ 0.016667

Revolutions per Minute to Cycles per Second Conversion Chart

Revolutions per Minute (rpm)Cycles per Second (cps)
0.10.001667
0.250.004167
0.50.008334
10.016667
20.033334
30.050001
50.083335
100.16667
200.33334
250.416675
500.83335
1001.6667
2504.16675
100016.667

Understanding the Units

What is a Revolutions per Minute?

One revolution per minute (RPM) equals exactly 1/60 hertz — one full rotation per minute.

Common contexts: engines, motors, turntables.

What is a Cycles per Second?

The hertz is the SI derived unit of frequency, equal to one cycle per second (1 Hz = 1/s).

Named after Heinrich Hertz (1857–1894), German physicist who experimentally demonstrated electromagnetic waves.

Common contexts: audio, radio, computing clock speeds.

Real-World Reference Points

Item Revolutions per Minute (rpm) Cycles per Second (cps)
US power-grid frequency3599.92860
Concert pitch (A4)26399.472440

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FAQ

How do I convert revolutions per minute to cycles per second?

Multiply by 0.016667. For example, 48 rpm × 0.016667 = 0.8 cps.

What is the formula for revolutions per minute to cycles per second?

The formula is: cps = rpm × 0.016667.

How many cycles per second are in one revolutions per minute?

One revolutions per minute equals 0.0167 cycles per second.

How many cycles per second are in 1 revolutions per minute?

1 rpm equals 0.016667 cps.

How do you convert revolutions per minute to cycles per second?

Multiply the revolutions per minute value by 0.016667. Formula: cps = rpm × 0.016667.

How many cycles per second are in 5 revolutions per minute?

5 rpm = 0.083335 cps.

How do you convert cycles per second back to revolutions per minute?

Use the inverse formula: rpm = cps ÷ 0.016667. For example, 1 cps = 59.9988 rpm.

What is the difference between Revolutions per Minute and Cycles per Second?

One revolution per minute (RPM) equals exactly 1/60 hertz — one full rotation per minute. The hertz is the SI derived unit of frequency, equal to one cycle per second (1 Hz = 1/s).