The Speed of Circular Motion calculator computes the speed (s) of a particle or point in uniform circular motion based on the radius (r) of the orbit and the period of rotation, T.
INSTRUCTIONS: Choose units and enter the following:
Speed of Circular Motion (v): The calculator computes the velocity in meters per second. However this can be automatically converted to numerous other velocity units via the pull-down menu.
Exercise: Choose Years as the units for period, and Astronomical Units as the unit for radius. Then enter 1 as the value for both. The resulting velocity is the speed that the Earth travels about the Sun. Then use the pull-down menu to see the result in miles per hour (mph).
The angular frequency is the number of increments of `2*pi` radians (`2*pi` radians is one complete rotation) divided by the period of the rotation, outputting simply rotations per unit time.
The distance around the circular path is ` d = 2*pi*r` (`2*pi` radians is one complete rotation) and then `v = d / T` is the velocity.
So, `v = (2*pi*r) / T`
The Astronomy Calculator Suite includes functions that are useful for studying astronomy and include the following: