How do you convert radians per second to revolutions per minute (RPM)?
To convert radians per second to revolutions per minute (RPM), multiply the number of radians per second by 9.54929658551. 1 rad/s = 9.5493 rpm.
Revolutions per Minute (RPM) = Radian per Second × 9.54929658551
Angular speed: rad/s and rpm
One revolution is 2π radians and a minute has 60 seconds, so rpm = rad/s × 60 ÷ 2π ≈ rad/s × 9.5493.
Example: a motor shaft at 157 rad/s turns at about 1,500 rpm. The reverse is rad/s = rpm × 2π ÷ 60 ≈ rpm × 0.10472.
Related tools
Radians per Second to revolutions per minute (RPM) conversion table
| Radians per Second (rad/s) | Revolutions per Minute (RPM) (rpm) |
|---|---|
| 1 rad/s | 9.5493 rpm |
| 5 rad/s | 47.7465 rpm |
| 10 rad/s | 95.493 rpm |
| 50 rad/s | 477.465 rpm |
| 100 rad/s | 954.93 rpm |
| 500 rad/s | 4,774.65 rpm |
| 1,000 rad/s | 9,549.3 rpm |
What is Radian per Second?
The radian per second is the SI derived unit of angular velocity, expressing how many radians an object rotates per second.
Short history of Radian per Second
Once the radian became the SI unit of angle, it naturally became the standard unit for angular velocity and acceleration calculations.
Open the Radian per Second unit guideWhat is Revolutions per Minute (RPM)?
RPM expresses how many full rotations a motor or rotating part completes per minute.
Short history of Revolutions per Minute (RPM)
It became the practical standard for expressing rotational speed with the development of internal combustion and electric motors.
Open the Revolutions per Minute (RPM) unit guideFrequently asked questions
What is 1 Radian per Second in Revolutions per Minute (RPM)?
1 rad/s = 9.54929658551 rpm.
How do you convert Radian per Second to Revolutions per Minute (RPM)?
To convert radians per second to revolutions per minute (RPM), multiply the number of radians per second by 9.54929658551. 1 rad/s = 9.5493 rpm.
Frequently asked questions
How many revolutions per minute (RPM) are in 1 radian per second?
1 rad/s = 9.5493 rpm.
How do you convert radians per second to revolutions per minute (RPM)?
To convert radians per second to revolutions per minute (RPM), multiply the number of radians per second by 9.54929658551. 1 rad/s = 9.5493 rpm.
How many radians per second are in 1 revolutions per minute (RPM)?
1 rpm = 0.10472 rad/s.