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The Angular Frequency calculator computes an angular frequency (?) based on an input period of rotation, T.
INSTRUCTIONS: Choose the preferred units and enter the following:
- T: This is the period of rotation.
Angular Frequency(?): The calculator computes the Angular Frequency (?) in radians per second. However, this can be automatically converted to other angular frequency units (e.g. degrees per minute) via the pull-down menu.
Related Calculators:
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.
Since frequency is the inverse of period, `f = 1/T` [1], and angular frequency is a multiple of frequency: `omega = 2*pi*f`, we can substitute for frequency, f and get the angular frequency as a function of period:
`omega = (2*pi) /T`
Other Circular Motion Functions
- Centripetal Acceleration as a function of tangential velocity and radius, CLICK HERE.
- Speed of Circular Motion as a function of orbital period and radius, CLICK HERE.
- Radial Acceleration as a function of orbital period and radius, CLICK HERE.
- Acceleration in non-uniform Circular Motion, CLICK HERE.
Sources
Young, Hugh and Freeman, Roger. University Physics With Modern Physics. Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 421, eq 13.2
- ^ Young, Hugh and Freeman, Roger. University Physics With Modern Physics. Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 420, eq 13.1
