Angular Velocity Converter
Convert between 5 units of angular velocity — rad/s, deg/s, RPM, rev/s, and rad/min. Angular velocity measures how fast an object rotates. A wheel at 3,000 RPM = 314.16 rad/s. Used in electric motors, gyroscopes, robotics, wind turbines and vehicle wheel speed sensors.
About the Angular Velocity Converter
Angular velocity measures how fast an object rotates — the angle swept per unit time. Revolutions per minute (RPM) is the everyday unit for motors and engines. Radians per second is the standard in physics and mathematics because it integrates naturally with linear velocity formulas. The relationship between linear and angular velocity is v = ω × r (velocity equals angular velocity times radius).
- ›A car engine at highway speed typically runs at 2,000–3,000 RPM
- ›A hard disk drive (HDD) spins at 5,400 or 7,200 RPM
- ›The Earth rotates at approximately 0.0000727 rad/s (one rotation per sidereal day)
- ›A dentist's drill can reach 400,000 RPM
RPM to rad/s — Conversion Table
| RPM (rpm) | rad/s (rad/s) |
|---|---|
| 1 rpm | 0.10472 rad/s |
| 2 rpm | 0.20944 rad/s |
| 5 rpm | 0.5236 rad/s |
| 10 rpm | 1.0472 rad/s |
| 20 rpm | 2.0944 rad/s |
| 50 rpm | 5.23599 rad/s |
| 100 rpm | 10.472 rad/s |
| 1,000 rpm | 104.72 rad/s |
Last updated: July 27, 2026 · Calculated using SI-validated constants (NIST)
Frequently Asked Questions
What units does the Angular Velocity Converter support?
The Angular Velocity Converter supports multiple units with instant conversion. Convert between 5 units of angular velocity — rad/s, deg/s, RPM, rev/s, and rad/min. Angular velocity measures how fast an object rotates. A wheel at 3,000 RPM = 314.16 rad/s. Used in electric motors, gyroscopes, robotics, wind turbines and vehicle wheel speed sensors. All results use SI-validated constants accurate to 8 significant figures.
Is this Angular Velocity Converter free?
Yes — completely free. No registration, no limits. Works on all devices including mobile.
How accurate is this converter?
Accurate to 8 significant figures using precise mathematical constants validated against international SI standards (NIST and ISO 80000).