RPM to Radians per Second Converter

Convert revolutions per minute to radians per second

RPM

Radians per Second

6.2832 rad/s

Formula: rad/s = RPM × (π / 30) ≈ RPM × 0.10472

Conversion Table

RPM	Rad/s
1	0.10
10	1.05
30	3.14
60	6.28
100	10.47
500	52.36
1000	104.72
3000	314.16
6000	628.32

Understanding Angular Velocity

RPM (revolutions per minute) measures how many complete rotations occur in one minute. Radians per second (rad/s) is the SI unit for angular velocity. Since one revolution equals 2π radians and one minute equals 60 seconds, the conversion factor is 2π/60 = π/30 ≈ 0.10472.

Common Uses

Automotive: Engine speed analysis and transmission calculations
Robotics: Motor control and motion planning
Physics: Rotational mechanics and angular momentum calculations
Manufacturing: CNC machine and lathe speed settings

FAQ

What is 60 RPM in rad/s?

60 RPM = 2π rad/s ≈ 6.28 rad/s (one revolution per second).

Why use rad/s instead of RPM?

Rad/s is the SI unit and simplifies physics calculations involving angular velocity.

How do I convert back to RPM?

RPM = rad/s × (30/π) ≈ rad/s × 9.5493.

Related Converters

Rad/s to RPM RPM to Degrees/s Angular Velocity Converter

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