Convert between different angular velocity units with our free online calculator. Perfect for engineering, physics, and rotational motion applications.
Common velocity angular conversions
| From | To | Context |
|---|---|---|
| 1 Radians per Second (rad/s) | 57.2958 Degrees per Second (°/s) | Slow rotation |
| 3600 Revolutions per Minute (RPM) | 376.9900 Radians per Second (rad/s) | High-speed motor |
| 360 Degrees per Second (°/s) | 60.0000 Revolutions per Minute (RPM) | One revolution per second |
Engineers use angular velocity measurements when designing and analyzing rotating machinery such as motors, turbines, and gears.
Angular velocity is crucial for engine performance metrics, wheel rotation rates, and transmission design calculations.
Aircraft and spacecraft systems rely on angular velocity measurements for propellers, turbines, and attitude control systems.
Robot joint movements and servo motor controls require precise angular velocity calculations for smooth and accurate motion.
Angular velocity is a measure of how quickly an object rotates or revolves around a center or axis, expressed in terms of the angle traversed per unit time. It is a vector quantity with both magnitude and direction.
Common units include radians per second (rad/s), which is the SI unit, degrees per second (°/s), revolutions per minute (RPM), and revolutions per second (RPS or Hz).
To convert from revolutions per minute (RPM) to radians per second (rad/s), multiply the RPM value by 2π/60 or approximately 0.1047. For example, 60 RPM equals approximately 6.28 rad/s.
Linear velocity (v) equals angular velocity (ω) multiplied by the radius (r) from the axis of rotation: v = ω × r. This means that points farther from the rotation axis move faster linearly, even though they have the same angular velocity.
Different fields have adopted units that are most practical for their applications. Engineers often use RPM for machinery specifications because it's intuitive to visualize complete rotations. Scientists typically use rad/s because it simplifies mathematical calculations and is consistent with the SI system.