Common Angular Velocity Conversions
Radian/second to RPM
1 rad/s = 9.55 rpm
RPM to Radian/second
1 rpm = 0.105 rad/s
Hertz to Radian/second
1 Hz = 6.28 rad/s
Degree/second to Radian/second
1 deg/s = 0.0175 rad/s
High-speed motor
3600 rpm = 377 rad/s
Revolution/minute to RPM
1 rev/min = 1 rpm
Real-world Angular Velocities
Earth Rotation
One rotation per day
7.27×10⁻⁵ rad/s
Car Engine (Idle)
Typical idle speed
800 rpm
Car Engine (Redline)
Maximum safe speed
6000-8000 rpm
Hard Drive
Standard HDD speed
7200 rpm
Washing Machine
Spin cycle speed
1200 rpm
Jet Engine
High-speed turbine
10000+ rpm
About Angular Velocity
Angular velocity is the rate of change of angular position with respect to time. It describes how fast an object rotates around an axis. Common units include:
- Radian per second (rad/s): The SI unit of angular velocity, representing the angle in radians rotated per second.
- Revolutions per minute (rpm): Commonly used in engineering, representing complete rotations per minute.
- Degree per second (°/s): Angular velocity expressed in degrees rotated per second.
- Hertz (Hz): Frequency unit representing rotations per second, equivalent to rev/s.
Angular velocity is crucial in mechanical engineering, robotics, and physics. It's related to linear velocity by the radius: v = ωr, where ω is angular velocity and r is radius.