Convert Revolution per Minute per Second to Radian per Second Squared
Live bidirectional calculator for Revolutions per Minute per Second (rpm/s) and Radians per Second Squared (rad/s²) with verified formula and conversion charts.
Angular Acceleration4 units
How the Calculation Works (Linear Scaling)
Since 1 Radian per Second Squared = 9.549297 Revolutions per Minute per Second, divide the value in Revolutions per Minute per Second by 9.549297.
Revolution per Minute per Second to Radian per Second Squared Conversion Table
Precomputed values for quick reference and printing.
| Revolution per Minute per Second | Radian per Second Squared |
|---|---|
| 1 rpm/s | 0.1047 rad/s² |
| 2 rpm/s | 0.2094 rad/s² |
| 3 rpm/s | 0.3142 rad/s² |
| 4 rpm/s | 0.4189 rad/s² |
| 5 rpm/s | 0.5236 rad/s² |
| 6 rpm/s | 0.6283 rad/s² |
| 7 rpm/s | 0.733 rad/s² |
| 8 rpm/s | 0.8378 rad/s² |
| 9 rpm/s | 0.9425 rad/s² |
| 10 rpm/s | 1.0472 rad/s² |
| 15 rpm/s | 1.5708 rad/s² |
| 20 rpm/s | 2.0944 rad/s² |
| 25 rpm/s | 2.618 rad/s² |
| 30 rpm/s | 3.1416 rad/s² |
| 40 rpm/s | 4.1888 rad/s² |
| 50 rpm/s | 5.236 rad/s² |
| 75 rpm/s | 7.854 rad/s² |
| 100 rpm/s | 10.472 rad/s² |
| Radian per Second Squared | Revolution per Minute per Second |
|---|---|
| 1 rad/s² | 9.5493 rpm/s |
| 2 rad/s² | 19.0986 rpm/s |
| 3 rad/s² | 28.6479 rpm/s |
| 4 rad/s² | 38.1972 rpm/s |
| 5 rad/s² | 47.7465 rpm/s |
| 6 rad/s² | 57.2958 rpm/s |
| 7 rad/s² | 66.8451 rpm/s |
| 8 rad/s² | 76.3944 rpm/s |
| 9 rad/s² | 85.9437 rpm/s |
| 10 rad/s² | 95.493 rpm/s |
| 15 rad/s² | 143.2394 rpm/s |
| 20 rad/s² | 190.9859 rpm/s |
| 25 rad/s² | 238.7324 rpm/s |
| 30 rad/s² | 286.4789 rpm/s |
| 40 rad/s² | 381.9719 rpm/s |
| 50 rad/s² | 477.4648 rpm/s |
| 75 rad/s² | 716.1972 rpm/s |
| 100 rad/s² | 954.9297 rpm/s |
About Revolution per Minute per Second (rpm/s)
An automotive and industrial metric describing how quickly rotational speed increases by 1 rpm in one second (2π/60 ≈ 0.1047198 rad/s²).
History: Standard automotive engine rev-ramp rate and industrial drive acceleration metric.
Common Uses: Vehicle engine rev-matching acceleration, electric motor VFD acceleration profiles.
About Radian per Second Squared (rad/s²)
The SI coherent derived unit of angular acceleration, representing an angular rate increase of one radian per second every second.
History: Fundamental rotational acceleration defined by rotational dynamics (τ = Iα).
Common Uses: Mechanical engineering, centrifuge startup ramp-up, spacecraft attitude control.
❓ Frequently Asked Questions
How many Radians per Second Squared are in 1 Revolution per Minute per Second?
There are exactly 0.10472 Radians per Second Squared in 1 Revolution per Minute per Second (1 rpm/s = 0.10472 rad/s²).
What is the formula to convert Revolution per Minute per Second to Radian per Second Squared?
The formula is: Radian per Second Squared = Revolution per Minute per Second / 9.549297. Since 1 Radian per Second Squared = 9.549297 Revolutions per Minute per Second, divide the value in Revolutions per Minute per Second by 9.549297.
How do I convert 1 rpm/s to rad/s² manually?
To convert 1 rpm/s to rad/s²: apply the formula Radian per Second Squared = Revolution per Minute per Second / 9.549297. Substituting gives: 1 / 9.549297 = 0.1047 rad/s².