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An RPM to radians per second converter converts rotational speed between revolutions per minute (RPM) — used for engines and motors — and rad/s, the SI unit for angular velocity.
Formule
rad/s = rpm × (π / 30) ≈ rpm × 0.10472
- rpm
- Revolutions per minute (rpm) — Rotational speed unit
- rads
- Radians per second (rad/s) — SI angular velocity unit
Guide étape par étape
- 11 revolution = 2π radians
- 21 RPM = 2π ÷ 60 rad/s = 0.10472 rad/s
- 3rad/s = RPM × (2π ÷ 60)
- 4RPM = rad/s × (60 ÷ 2π)
Exemples résolus
Entrée
1,000 RPM (engine idle)
Résultat
104.72 rad/s
Entrée
3,000 RPM (typical engine)
Résultat
314.16 rad/s
Entrée
60 RPM (1 revolution/second)
Résultat
6.283 rad/s = 2π
Questions fréquentes
How many radians per second is 1,800 rpm?
1,800 rpm × 0.10472 ≈ 188.5 rad/s. A spindle or motor speed reference.
What is a radian?
One radian is the angle where arc length equals radius. 1 full rotation = 2π radians ≈ 6.283 rad.
Why do engineers use both rpm and rad/s?
rpm is intuitive for machinists; rad/s is SI standard for physics and control systems. Convert as needed.
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