Convert Revolution per Minute to Radian per Second
Live bidirectional calculator for Revolutions per Minute (rpm) and Radians per Second (rad/s) with verified formula and conversion charts.
Angular Velocity4 units
How the Calculation Works (Linear Scaling)
Since 1 Radian per Second = 9.549297 Revolutions per Minute, divide the value in Revolutions per Minute by 9.549297.
Revolution per Minute to Radian per Second Conversion Table
Precomputed values for quick reference and printing.
| Revolution per Minute | Radian per Second |
|---|---|
| 1 rpm | 0.1047 rad/s |
| 2 rpm | 0.2094 rad/s |
| 3 rpm | 0.3142 rad/s |
| 4 rpm | 0.4189 rad/s |
| 5 rpm | 0.5236 rad/s |
| 6 rpm | 0.6283 rad/s |
| 7 rpm | 0.733 rad/s |
| 8 rpm | 0.8378 rad/s |
| 9 rpm | 0.9425 rad/s |
| 10 rpm | 1.0472 rad/s |
| 15 rpm | 1.5708 rad/s |
| 20 rpm | 2.0944 rad/s |
| 25 rpm | 2.618 rad/s |
| 30 rpm | 3.1416 rad/s |
| 40 rpm | 4.1888 rad/s |
| 50 rpm | 5.236 rad/s |
| 75 rpm | 7.854 rad/s |
| 100 rpm | 10.472 rad/s |
| Radian per Second | Revolution per Minute |
|---|---|
| 1 rad/s | 9.5493 rpm |
| 2 rad/s | 19.0986 rpm |
| 3 rad/s | 28.6479 rpm |
| 4 rad/s | 38.1972 rpm |
| 5 rad/s | 47.7465 rpm |
| 6 rad/s | 57.2958 rpm |
| 7 rad/s | 66.8451 rpm |
| 8 rad/s | 76.3944 rpm |
| 9 rad/s | 85.9437 rpm |
| 10 rad/s | 95.493 rpm |
| 15 rad/s | 143.2394 rpm |
| 20 rad/s | 190.9859 rpm |
| 25 rad/s | 238.7324 rpm |
| 30 rad/s | 286.4789 rpm |
| 40 rad/s | 381.9719 rpm |
| 50 rad/s | 477.4648 rpm |
| 75 rad/s | 716.1972 rpm |
| 100 rad/s | 954.9297 rpm |
๐ Standard Benchmark Reference Values
One full revolution per second (2ฯ radians per 60 seconds).
Exact RatioAbout Revolution per Minute (rpm)
A rotational frequency unit equal to one full turn every 60 seconds (2ฯ/60 โ 0.1047198 rad/s).
History: Universally adopted engineering standard for engine tachometers and rotating machinery.
Common Uses: Car engine tachometers, computer cooling fan speeds, hard drive spindle speeds (e.g. 7,200 rpm), phonograph turntables (33/45 rpm).
About Radian per Second (rad/s)
The SI coherent derived unit of angular velocity, equal to an angular rotation of one radian per second.
History: Standard rotational frequency rate formalized in the International System of Units (SI).
Common Uses: Physics kinematics, rotational mechanics, vibrational modal analysis.
โ Frequently Asked Questions
How many Radians per Second are in 1 Revolution per Minute?
There are exactly 0.10472 Radians per Second in 1 Revolution per Minute (1 rpm = 0.10472 rad/s).
What is the formula to convert Revolution per Minute to Radian per Second?
The formula is: Radian per Second = Revolution per Minute / 9.549297. Since 1 Radian per Second = 9.549297 Revolutions per Minute, divide the value in Revolutions per Minute by 9.549297.
How do I convert 1 rpm to rad/s manually?
To convert 1 rpm to rad/s: apply the formula Radian per Second = Revolution per Minute / 9.549297. Substituting gives: 1 / 9.549297 = 0.1047 rad/s.