Radian per second (rad/s)
SI unit of angular velocity: a rotation of one radian every second.
What is a radian per second?
- Symbol
- rad/s
- Quantity
- Angular Velocity
- Unit system
- SI
- Definition
- SI unit of angular velocity: a rotation of one radian every second.
- Exact
- Yes, the value is exact by definition
- Source
- SI Brochure, 9th edition (BIPM, 2019)
Common applications
The SI unit of angular velocity, used in physics, motor and control calculations and gyroscope data.
Radian per second in other angular velocity units
- 1 rad/s = 60 rad/minRadian per minute
- 1 rad/s ≈ 57.29577951 °/sDegree per second
- 1 rad/s ≈ 3437.746771 °/minDegree per minute
- 1 rad/s ≈ 0.1591549431 rev/sRevolution per second
- 1 rad/s ≈ 9.549296586 rpmRadian per second to Revolution per minute converter
- 1 rad/s ≈ 572.9577951 rev/hRevolution per hour
Radian per second quick reference
| Radian per second | Revolution per minute | Radian per minute | Degree per second |
|---|---|---|---|
| 1 rad/s | ≈ 9.549296586 rpm | = 60 rad/min | ≈ 57.29577951 °/s |
| 10 rad/s | ≈ 95.49296586 rpm | = 600 rad/min | ≈ 572.9577951 °/s |
| 100 rad/s | ≈ 954.9296586 rpm | = 6000 rad/min | ≈ 5729.577951 °/s |
| 1000 rad/s | ≈ 9549.296586 rpm | = 60000 rad/min | ≈ 57295.77951 °/s |
Where the radian per second fits
The next smaller angular velocity unit is the revolution per minute (rpm). 1 rad/s ≈ 9.549296586 rpm, and 1 rpm ≈ 0.1047197551 rad/s.
The next larger angular velocity unit is the revolution per second (rev/s). 1 rad/s ≈ 0.1591549431 rev/s, and 1 rev/s ≈ 6.283185307 rad/s.
Frequently asked questions
- How many revolutions per minute are in one radian per second?
- One radian per second ≈ 9.549296586 rpm (revolutions per minute).
- How many radians per minute are in one radian per second?
- One radian per second = 60 rad/min (radians per minute).
- How many degrees per second are in one radian per second?
- One radian per second ≈ 57.29577951 °/s (degrees per second).