RPM to rad/s
Convert RPM to radians per second for motor specs, machinery datasheets, physics formulas and rotational dynamics. Multiply by 0.10472 for instant results.
Last updated: May 2026
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How to use this converter
Motor nameplates and shop tools read in RPM, while control systems and torque formulas use radians per second. Use this converter when you have a motor's rated RPM and need rad/s for a physics, control or angular-acceleration calculation. rad/s = RPM × 0.104719755
Common reference values
| RPM | rad/s |
|---|---|
| 60 | 6.283 |
| 120 | 12.566 |
| 1000 | 104.720 |
| 3000 | 314.159 |
Frequently Asked Questions
Why does a motor specify both RPM and rad/s?
A motor nameplate lists RPM because it is intuitive for operators (how many spins per minute). Control systems and torque calculations use rad/s because angular velocity, angular acceleration (rad/s²), and angular momentum are defined in radians. Both describe the same rotation in different units.
What is the exact RPM to rad/s formula?
rad/s = RPM × 2π ÷ 60 = RPM × 0.104719755. One revolution is 2π radians, and dividing by 60 converts minutes to seconds. To reverse it, RPM = rad/s × 60 ÷ (2π).
When would I need to convert RPM to rad/s?
When you have a motor or shop tool rated in RPM (drill speed, motor nameplate, centrifuge dial) and need rad/s for a physics calculation, a control model, or a torque and power formula such as P = τ × ω, where ω is angular velocity in rad/s.