Angular Velocity

Convert rad/s to rpm

1 radian per second equals 9.5492966 revolutions per minute. Enter a value below to convert instantly.

1 rad/s
9.5492966 rpm

Multiply the number of radians per second by 9.54929658551 to get revolutions per minute. How this is calculated

Need the other direction? Convert revolution per minute to radian per second →

Formula

Multiply the number of radians per second by 9.54929658551 to get revolutions per minute.

Step by step

  1. Start with 1 rad/s.
  2. Multiply by the conversion factor 9.54929658551.
  3. 1 × 9.54929658551 = 9.5492966 rpm.

Radians per Second to Revolutions per Minute conversion table

Conversion table from Radians per Second to Revolutions per Minute
Radians per Second (rad/s) Revolutions per Minute (rpm)
1 9.5492966
10 95.492966
60 572.9578
100 954.92966
500 4,774.6483
1,000 9,549.2966
3,000 28,647.89

Convert Radian per Second to other angular velocity units

1 rad/s expressed in every other angular velocity unit on this site.

  • Radian per Minute rad/min 60
  • Radian per Hour rad/h 3,600
  • Radian per Day rad/d 86,400
  • Degree per Second °/s 57.29578
  • Degree per Minute °/min 3,437.7468
  • Degree per Hour °/h 206,264.81
  • Degree per Day °/d 4,950,355.3
  • Revolution per Second rev/s 0.15915494
  • Revolution per Minute rpm 9.5492966
  • Revolution per Hour rev/h 572.9578
  • Revolution per Day rev/d 13,750.987
  • Gradian per Second grad/s 63.661977
  • Arcminute per Second ′/s 3,437.7468
  • Arcsecond per Second ″/s 206,264.81

About the radian per second

The radian per second (rad/s) is a SI unit of angular velocity.

About the revolution per minute

The revolution per minute (rpm) is a Other unit of angular velocity. The standard rating for motors, engines, and rotating tools.

Where this conversion is used

Converting radians per second to revolutions per minute comes up when motors, turbines, gyroscopes, and camera gimbals. Machinery is rated in RPM but physics formulas expect radians per second, so this conversion turns up in almost every rotational calculation.

Related conversions

Frequently asked questions

How many revolutions per minute are in a radian per second?

One radian per second equals 9.5492966 revolutions per minute.

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

Multiply the number of radians per second by 9.54929658551 to get revolutions per minute.

What is 1 revolution per minute in radians per second?

One revolution per minute equals 0.10471976 radians per second.

When would I convert radians per second to revolutions per minute?

This conversion is common when motors, turbines, gyroscopes, and camera gimbals.

Conversion factors are based on internationally agreed unit definitions. See our methodology and sources for details on how these values are verified.