Angular Velocity Converter
Convert rotational speeds between revolutions per minute, radians per second, degrees per second and other units of angular velocity.
1 radian per second = 1 radian per second
Most used angular velocity units
- Revolution per minute rpm 1 rpm = 0.10471976 rad/s
- Radian per second rad/s Base unit
- Degree per second °/s 1 °/s = 0.017453293 rad/s
- Revolution per second rps 1 rps = 6.2831853 rad/s
- Degree per hour °/h 1 °/h = 0.000004848137 rad/s
- Degree per minute °/min 1 °/min = 0.00029088821 rad/s
- Radian per minute rad/min 1 rad/min = 0.016666667 rad/s
- Arcsecond per year ″/yr 1 ″/yr = 1.5362819 × 10-13 rad/s
- Earth rotation Ω⊕ 1 Ω⊕ = 0.000072921159 rad/s
- Degree per day °/d 1 °/d = 2.020057 × 10-7 rad/s
- Milliarcsecond per year mas/yr 1 mas/yr = 1.5362819 × 10-16 rad/s
- Radian per hour rad/h 1 rad/h = 0.00027777778 rad/s
Popular angular velocity conversions
- Revolutions per minute to radians per second 1 rpm = 0.1047198 rad/s
- Radians per second to revolutions per minute 1 rad/s = 9.549297 rpm
- Degrees per second to revolutions per minute 1 °/s = 0.1666667 rpm
- Revolutions per minute to degrees per second 1 rpm = 6 °/s
- Radians per second to degrees per second 1 rad/s = 57.29578 °/s
- Revolutions per second to revolutions per minute 1 rps = 60 rpm
What is angular velocity?
Angular velocity is how fast something rotates: the angle turned per unit of time. Engines, motors, fans, turntables and hard drives are rated in revolutions per minute (rpm), while physics and engineering formulas use radians per second (rad/s). One revolution per second is 2π rad/s, so 1 rpm is about 0.1047 rad/s.
Gyroscopes and drones report rotation rates in degrees per second, and astronomers measure the slow drift of stars across the sky in arcseconds per year.
Angular velocity units from smallest to largest
Every proportional angular velocity unit on the site, ordered by size and expressed in radians per second.
- Milliarcsecond per year 1.536282 × 10-16 rad/s
- Arcsecond per year 1.536282 × 10-13 rad/s
- Degree per day 2.020057 × 10-7 rad/s
- Degree per hour 0.00000484814 rad/s
- Revolution per day 0.0000727221 rad/s
- Earth rotation 0.0000729212 rad/s
- Radian per hour 0.000277778 rad/s
- Degree per minute 0.000290888 rad/s
- Revolution per hour 0.00174533 rad/s
- Gradian per second 0.015708 rad/s
- Radian per minute 0.0166667 rad/s
- Degree per second 0.0174533 rad/s
- Revolution per minute 0.10472 rad/s
- Radian per second 1 rad/s
- Revolution per second 6.28319 rad/s
All 15 angular velocity units
Common
Other
Frequently asked questions
How do I convert rpm to rad/s?
Multiply by 2π/60 (about 0.10472). 3,000 rpm is about 314.16 rad/s.
How fast does the Earth rotate?
Once per sidereal day: about 7.29 × 10⁻⁵ rad/s, or 15 degrees per hour.