Convert angular velocity units — rad/s, deg/s, RPM, RPS and more.
| Unit | Name | Value |
|---|---|---|
| rad/s | Radian/Second | 0.0174533 |
| rpm | Revolution/Minute | 0.16666635 |
| rps | Revolution/Second | 0.0027777813 |
| rad/min | Radian/Minute | 1.0471771 |
Formula: Radian/Second = Radian/Second × 1
Multiply any Radian/Second value by 1 to get Radian/Second.
Reverse: Radian/Second = Radian/Second × 1
Key chain: 60 rpm = 1 rps = 2π rad/s ≈ 6.283 rad/s = 360°/s
Common angular speeds — factor: 1 rad/s = 1 rad/s
| Radian/Second (rad/s) | Radian/Second (rad/s) | Context |
|---|---|---|
| 7.270e-05 rad/s | 7.270e-05 rad/s | Earth rotation |
| 0.001 rad/s | 0.001 rad/s | Very slow |
| 0.01 rad/s | 0.01 rad/s | Slow mechanism |
| 0.1 rad/s | 0.1 rad/s | 0.955 rpm |
| 1 rad/s | 1 rad/s | 9.55 rpm |
| 3.142 rad/s | 3.142 rad/s | π rad/s = 30 rpm |
| 6.283 rad/s | 6.283 rad/s | 1 rps = 60 rpm |
| 10 rad/s | 10 rad/s | 95.5 rpm |
| 52.36 rad/s | 52.36 rad/s | 500 rpm |
| 100 rad/s | 100 rad/s | 955 rpm |
| 314.2 rad/s | 314.2 rad/s | 3,000 rpm motor |
| 628.3 rad/s | 628.3 rad/s | 6,000 rpm |
| 1000 rad/s | 1000 rad/s | 9,549 rpm |
| 1e+04 rad/s | 1e+04 rad/s | 95,490 rpm |
| 1e+06 rad/s | 1e+06 rad/s | Very high speed |
1 rad/s = 1 rad/s.
60 rpm = 1 rps = 2π rad/s ≈ 6.283 rad/s = 360°/s. Memorize this chain.
Multiply result by 1 to recover the original rad/s value.
Converts motor speed between rpm and rad/s for torque, power, and control system calculations.
Specifies joint angular velocity in °/s or rad/s for trajectory planning and servo control.
Converts between rpm and rad/s for gear ratio, centrifugal force, and bearing life calculations.
Uses rad/s for bandwidth, frequency response, and PID controller angular velocity specifications.
Calculates attitude rates in °/s and gyroscope outputs in rad/s for inertial navigation systems.
Converts Earth and celestial body rotation rates between rad/s, °/s, and rpm for orbital calculations.
Radian per second (rad/s) is the SI unit of angular velocity, measuring the angle swept per unit time in radians. Since 2π radians = one full rotation, 1 rps = 2π rad/s ≈ 6.283 rad/s. The unit was formalized with the SI system.
rad/s is universal in physics, control systems, and electrical engineering. Angular velocity ω relates to linear velocity v by v = ωr (r = radius). Electric motor angular speed: 50 Hz motor = 100π rad/s ≈ 314 rad/s; turbine at 3,000 rpm = 314.2 rad/s.
Interesting fact: Earth's rotation rate is about 7.27×10⁻⁵ rad/s (one revolution per 24 hours). The Milky Way rotates at about 2.7×10⁻¹⁶ rad/s — it takes about 225 million years to complete one galactic rotation.
Radian per second (rad/s) is the SI unit of angular velocity, measuring the angle swept per unit time in radians. Since 2π radians = one full rotation, 1 rps = 2π rad/s ≈ 6.283 rad/s. The unit was formalized with the SI system.
rad/s is universal in physics, control systems, and electrical engineering. Angular velocity ω relates to linear velocity v by v = ωr (r = radius). Electric motor angular speed: 50 Hz motor = 100π rad/s ≈ 314 rad/s; turbine at 3,000 rpm = 314.2 rad/s.
Interesting fact: Earth's rotation rate is about 7.27×10⁻⁵ rad/s (one revolution per 24 hours). The Milky Way rotates at about 2.7×10⁻¹⁶ rad/s — it takes about 225 million years to complete one galactic rotation.
Angular velocity measures how fast something rotates. The SI unit is rad/s; mechanical engineering uses rpm; robotics uses °/s; power engineering converts between rpm and rad/s. Key chain: 60 rpm = 1 rps = 2π rad/s ≈ 6.283 rad/s = 360°/s.
Exact factor: 1 rad/s = 1 rad/s. Reverse: 1 rad/s = 1 rad/s.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.