Angular frequency

Definition

Angular frequency, denoted by $\omega$, is the rate of change of angular displacement with time. It is commonly measured in radians per second (rad/s).

5 Must Know Facts For Your Next Test

1. Angular frequency is given by the formula $\omega = \frac{2\pi}{T}$, where $T$ is the period.
2. It can also be expressed as $\omega = 2\pi f$, where $f$ is the frequency in hertz (Hz).
3. In uniform circular motion, angular frequency describes how quickly an object rotates around a circle.
4. For simple harmonic motion, angular frequency determines the oscillation rate of the system.
5. The relationship between linear velocity ($v$) and angular frequency is given by $v = r \omega$, where $r$ is the radius.

Review Questions

• What is the formula to calculate angular frequency using period?
• How does angular frequency relate to linear velocity in uniform circular motion?
• What units are typically used to measure angular frequency?

Related terms

Period (T): The time taken for one complete cycle of motion in periodic phenomena.

Frequency (f): The number of complete cycles or oscillations per unit time, usually measured in hertz (Hz).

Simple Harmonic Motion: A type of periodic motion or oscillation where restoring force is directly proportional to displacement.