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Revolutions per Minute to Radians per Second Converter

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

rpm

Radians per Second

0.7854

rad/s

7.5 rpm = 0.7854 rad/s

rad/s = rpm × 0.104722

Revolutions per Minute to Radians per Second: 1 rpm equals 0.104722 rad/s. To convert revolutions per minute to radians per second, multiply by 0.104722 (rad/s = rpm × 0.104722). For example, 10 rpm = 1.047218 rad/s.

How to Convert Revolutions per Minute to Radians per Second

To convert from revolutions per minute to radians per second, multiply the value by 0.104722. The conversion is linear, meaning doubling the input doubles the output.

Conversion Formula

  • Revolutions per Minute to Radians per Second: rad/s = rpm × 0.104722
  • Radians per Second to Revolutions per Minute: rpm = rad/s ÷ 0.104722

Revolutions per Minute to Radians per Second Conversion Chart

Revolutions per Minute (rpm)Radians per Second (rad/s)
0.10.010472
0.250.02618
0.50.052361
10.104722
20.209444
30.314165
50.523609
101.047218
202.094436
252.618045
505.23609
10010.472181
25026.180453
1000104.72181

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.

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FAQ

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

Multiply by 0.104722. For example, 7.5 rpm × 0.104722 = 0.7854 rad/s.

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

The formula is: rad/s = rpm × 0.104722.

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

One revolutions per minute equals 0.1047 radians per second.

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

1 rpm equals 0.104722 rad/s.

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

Multiply the revolutions per minute value by 0.104722. Formula: rad/s = rpm × 0.104722.

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

5 rpm = 0.523609 rad/s.

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

Use the inverse formula: rpm = rad/s ÷ 0.104722. For example, 1 rad/s = 9.549109 rpm.