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Radians per Second to Revolutions per Minute Converter

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

rad/s

Revolutions per Minute

71.6183

rpm

7.5 rad/s = 71.6183 rpm

rpm = rad/s × 9.54911

Radians per Second to Revolutions per Minute: 1 rad/s equals 9.549109 rpm. To convert radians per second to revolutions per minute, multiply by 9.549109 (rpm = rad/s × 9.54911). For example, 10 rad/s = 95.49109 rpm.

How to Convert Radians per Second to Revolutions per Minute

To convert from radians per second to revolutions per minute, multiply the value by 9.549109. The conversion is linear, meaning doubling the input doubles the output.

Conversion Formula

  • Radians per Second to Revolutions per Minute: rpm = rad/s × 9.54911
  • Revolutions per Minute to Radians per Second: rad/s = rpm ÷ 9.54911

Radians per Second to Revolutions per Minute Conversion Chart

Radians per Second (rad/s)Revolutions per Minute (rpm)
0.10.954911
0.252.387277
0.54.774554
19.549109
219.098218
328.647327
547.745545
1095.49109
20190.98218
25238.727725
50477.45545
100954.9109
2502387.27725
10009549.109

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.

Related

FAQ

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

Multiply by 9.54911. For example, 7.5 rad/s × 9.54911 = 71.6183 rpm.

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

The formula is: rpm = rad/s × 9.54911.

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

One radians per second equals 9.5491 revolutions per minute.

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

1 rad/s equals 9.549109 rpm.

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

Multiply the radians per second value by 9.549109. Formula: rpm = rad/s × 9.54911.

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

5 rad/s = 47.745545 rpm.

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

Use the inverse formula: rad/s = rpm ÷ 9.54911. For example, 1 rpm = 0.104722 rad/s.