8 units · base unit rad/s · T⁻¹
Angular velocity converter
Distinct from frequency: one revolution per second is 1 Hz but 2π rad/s. Mixing the two is a classic source of factor-of-6.28 errors in motor control.
57.295 779 513 1°/s
As a fraction: 30000000000000000000000000000000000000000000000000000000000000000000000000000/523598775598298873077107230546583814032861566562517636829157432051302734381
1 rad/s = 57.2957795131 °/s
Common angular velocity conversions
- rad/s → °/s
- rad/s → rpm
- rad/s → rev/s
- °/s → rad/s
- °/s → rpm
- °/s → rev/s
- rpm → rad/s
- rpm → °/s
- rpm → rev/s
- rev/s → rad/s
- rev/s → °/s
- rev/s → rpm
All angular velocity units
Each unit expressed in radian per seconds (rad/s), the unit everything in this category converts through.
| Unit | Symbol | System | Value in rad/s |
|---|---|---|---|
| Radian per second | rad/s | SI | 1 |
| Radian per minute | rad/min | SI | 0.0166666666667 |
| Degree per second | °/s | other | 0.0174532925199 |
| Degree per minute | °/min | other | 0.000290888208666 |
| Revolution per minute | rpm | other | 0.10471975512 |
| Revolution per second | rev/s | other | 6.28318530718 |
| Revolution per hour | rev/h | other | 0.00174532925199 |
| Hertz (as angular rate) | Hz | SI | 6.28318530718 |
About angular velocity units
Convert rad/s, rpm, degrees per second and revolutions per second.
Distinct from frequency: one revolution per second is 1 Hz but 2π rad/s. Mixing the two is a classic source of factor-of-6.28 errors in motor control.
Dimensional formula: T⁻¹. Every conversion on this page goes through the radian per second, using exact fractions rather than decimal approximations. Read how that works →