The angular displacement is the angle through which a body rotates in circular path. It is denoted by $\theta$ and expressed in radians or degrees.

**Angular Displacement Formula**

Angular displacement formula is used to find the angular displacement $\theta$ made by the body in time t.

Angular displacement formula in terms of angular velocity is given by

Where, $\omega$ is angular velocity,

t is the time taken.

Angular displacement formula in terms of angular velocity is given by

t is the time taken.

Related Calculators | |

Displacement Calculator | Angular Acceleration Calculator |

Angular Momentum Calculator | Angular Speed Calculator |

Here are some problems given on angular displacement based on the above formula.

Given: Linear displacement S = 50 m,

Radius of circular path r = 4 m,

The angular displacement is given by

$\theta$ = $\frac{S}{r}$

= $\frac{50}{4}$

= 12.5 radians.

given: Angular speed $\omega$ = 59 rad/sec,

Time t = 5 s

The angular displacement is given by

$\theta$ = $\omega$ t

= 59 $\times$ 5

= 295 radians.