Acceleration Angular / rpm/s → rad/s²
Convert RPM per second to Radians per second squared
Convert the rate of change of angular velocity. Convert RPM per second (rpm/s) to Radians per second squared (rad/s²). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Radians per second squared to RPM per second →
How to convert RPM per second to radians per second squared
Revolutions per minute per second means a change in rpm each second. It differs from revolutions per minute squared by a factor of 60.
Use x for the value in rpm/s, b for the intermediate value in rad/s², and y for the result in rad/s².
rad/s² = rpm/s × 0.10471975511965977
Worked examples
10 rpm/s ≈ 1.0471975512 rad/s²
Step 1: (10 × 0.10471975512) ≈ 1.0471975512 rad/s².
Step 2: 1.0471975512 ÷ 1 ≈ 1.0471975512 rad/s².20 rpm/s ≈ 2.09439510239 rad/s²
Step 1: (20 × 0.10471975512) ≈ 2.09439510239 rad/s².
Step 2: 2.09439510239 ÷ 1 ≈ 2.09439510239 rad/s².
Results are rounded to 12 significant digits. Converting units does not increase the precision of the original measurement. Very large or small values outside JavaScript’s finite numeric range are rejected.
About RPM per second
RPM per second (rpm/s) measures acceleration angular under the conventions above. The base value in rad/s² is (x × 0.10471975512), where x is the numerical value in rpm/s. Factors shown here are rounded for display; calculations use the stored factor.
About Radians per second squared
Radians per second squared (rad/s²) measures acceleration angular under the conventions above. The base value in rad/s² is (x × 1), where x is the numerical value in rad/s². Factors shown here are rounded for display; calculations use the stored factor.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
RPM per second to radians per second squared reference table
| RPM per second (rpm/s) | Radians per second squared (rad/s²) |
|---|---|
| 1 | 0.10471975512 |
| 5 | 0.523598775598 |
| 10 | 1.0471975512 |
| 25 | 2.61799387799 |
| 50 | 5.23598775598 |
| 100 | 10.471975512 |
| 1000 | 104.71975512 |
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