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# Angular Frequency from Period

vCalc.Angular Frequency from Period

The **Angular Frequency** calculator computes an angular frequency **(ω)** 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(ω):** The calculator computes the Angular Frequency **(ω) **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

# References

- ^ 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

**Angular Frequency from Period**, is used in 1 calculator.

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