Angular displacement is the angle at which an object moves on a circular path. It is denoted by theta (θ) and measured in radians or angle. We can find angular displacement with the help of this below formula:

Question: A boy runs around a circular track for about 400 meters. The radius of the track is 35 meters. Find the angular displacement.

Solution:

Given:

Distance Travelled (s) = 400 meters

Radius of circular track = 35 meters

Formula to find angular displacement = Angular Displacement = Distance Travelled / Radius of Circular Path

Inserting the given data into the formula = 400 / 35

= 11.42 radians

Therefore, the angular displacement for the given values = 11.42 radians

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