Convert Angular Velocity and Speed

The angular velocity indicates what angle an object rotates around a central axis on a circular or elliptical orbit in what time, or how many revolutions it makes in a certain unit of time. This calculator works with the speed in meters per second or kilometers per hour and the angular velocity in angles or revolutions per second or minute. The conversion is done using the radius of the orbit.
The formula for the calculation is: angular velocity = angle / time; velocity = angular velocity * radius, ω = φ / t; v = ω * r
Units for ω: rad/s, °/s, revolutions per minute, seconds: rpm, rps.
The speed increases linearly with increasing angular velocity and increasing radius. This means that the angular velocity decreases with increasing radius if the speed remains constant.

↓ calculates the velocity from the angular velocity, ↑ calculates the angular velocity from the velocity.
To convert units of angular velocity, see Conversion Rotation Units.

Objects move in a circular orbit when centrifugal force and centripetal force exactly cancel each other out. The centrifugal force pushes outwards, the centripetal force counteracts this. The centripetal force is generated by the objects being fixed, for example a rotating wheel that is attached to the axis of rotation, or a weight that is hanging on a string and is spun. The string mount on the axis must rotate with it, otherwise the string winds up and the object moves inwards on a spiral path.
In the case of an elliptical orbit, the speed changes with every change in position, even if the angular velocity remains the same. Elliptical orbits occur primarily with celestial bodies such as planets, where the angular velocities are not constant either, only the areas swept over in a certain time (Kepler's second law). With elliptical orbits, a speed or velocity indication is therefore only a snapshot.