Convert Revolution per Second Squared to Radian per Second Squared
Live bidirectional calculator for Revolutions per Second Squared (rev/s²) and Radians per Second Squared (rad/s²) with verified formula and conversion charts.
Angular Acceleration4 units
How the Calculation Works (Linear Scaling)
Since 1 Revolution per Second Squared = 6.283185 Radians per Second Squared, multiply the value in Revolutions per Second Squared by 6.283185.
Revolution per Second Squared to Radian per Second Squared Conversion Table
Precomputed values for quick reference and printing.
| Revolution per Second Squared | Radian per Second Squared |
|---|---|
| 1 rev/s² | 6.2832 rad/s² |
| 2 rev/s² | 12.5664 rad/s² |
| 3 rev/s² | 18.8496 rad/s² |
| 4 rev/s² | 25.1327 rad/s² |
| 5 rev/s² | 31.4159 rad/s² |
| 6 rev/s² | 37.6991 rad/s² |
| 7 rev/s² | 43.9823 rad/s² |
| 8 rev/s² | 50.2655 rad/s² |
| 9 rev/s² | 56.5487 rad/s² |
| 10 rev/s² | 62.8319 rad/s² |
| 15 rev/s² | 94.2478 rad/s² |
| 20 rev/s² | 125.6637 rad/s² |
| 25 rev/s² | 157.0796 rad/s² |
| 30 rev/s² | 188.4956 rad/s² |
| 40 rev/s² | 251.3274 rad/s² |
| 50 rev/s² | 314.1593 rad/s² |
| 75 rev/s² | 471.2389 rad/s² |
| 100 rev/s² | 628.3185 rad/s² |
| Radian per Second Squared | Revolution per Second Squared |
|---|---|
| 1 rad/s² | 0.1592 rev/s² |
| 2 rad/s² | 0.3183 rev/s² |
| 3 rad/s² | 0.4775 rev/s² |
| 4 rad/s² | 0.6366 rev/s² |
| 5 rad/s² | 0.7958 rev/s² |
| 6 rad/s² | 0.9549 rev/s² |
| 7 rad/s² | 1.1141 rev/s² |
| 8 rad/s² | 1.2732 rev/s² |
| 9 rad/s² | 1.4324 rev/s² |
| 10 rad/s² | 1.5915 rev/s² |
| 15 rad/s² | 2.3873 rev/s² |
| 20 rad/s² | 3.1831 rev/s² |
| 25 rad/s² | 3.9789 rev/s² |
| 30 rad/s² | 4.7746 rev/s² |
| 40 rad/s² | 6.3662 rev/s² |
| 50 rad/s² | 7.9577 rev/s² |
| 75 rad/s² | 11.9366 rev/s² |
| 100 rad/s² | 15.9155 rev/s² |
📌 Standard Benchmark Reference Values
Full angular rotation rate of acceleration.
Exact RatioAbout Revolution per Second Squared (rev/s²)
An angular acceleration unit equal to 2π rad/s² (≈ 6.283185 rad/s²).
History: Standard machine dynamics metric for high-speed rotor ramp acceleration.
Common Uses: Turbine spindle acceleration ratings, CNC milling spindle spool-up.
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 Second Squared?
There are exactly 6.283185 Radians per Second Squared in 1 Revolution per Second Squared (1 rev/s² = 6.283185 rad/s²).
What is the formula to convert Revolution per Second Squared to Radian per Second Squared?
The formula is: Radian per Second Squared = Revolution per Second Squared × 6.283185. Since 1 Revolution per Second Squared = 6.283185 Radians per Second Squared, multiply the value in Revolutions per Second Squared by 6.283185.
How do I convert 1 rev/s² to rad/s² manually?
To convert 1 rev/s² to rad/s²: apply the formula Radian per Second Squared = Revolution per Second Squared × 6.283185. Substituting gives: 1 × 6.283185 = 6.2832 rad/s².