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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:
- (r) Radius defining Orbit of Circular Motion
- (T) Orbital Period of Rotation
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 Math
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`
Exoplanet Functions:
- Separation from Mass and Period
- Speed of Circular Orbit
- Mass of Exoplanet from Mass and Speed of Star and Planet Speed
- Mass of Exoplanet from Stellar Mass and Radius around barycenter and planetary orbit radius
- Mass from Period and Separation
- Mass from Speed and Separation
- Radius from Speed and Period
- Speed from Delta Lambda and Lambda
- Distance from Apparent and Absolute Magnitude
- Flux Ratio from Magnitudes
- Planetary Temperature
- Goldilocks Zone
Astronomy Calculators
- Centripetal Acceleration as a function of tangential velocity and radius, CLICK HERE.
- Angular Frequency as a function of orbital period,.
- Radial Acceleration as a function of orbital period and radius, CLICK HERE.
- Acceleration in non-uniform Circular Motion, CLICK HERE.
- ^ Young, Hugh and Freeman, Roger. University Physics With Modern Physics. Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 89, eq 3.29
