Question

An object is moving along a circular path of radius 4m. What will be its angular
displacement if it moves 14m on this circular path?
A) 5.0 radians
B) 4.5 radians
C) 5.5 radians
D) 3.5 radians

Answer 1

Answer:

5.5 radians

hope it works out!

Answer 2

Answer:

D) 3.5 radians

Explanation:

Given,

Radius of circular path = 4 m

distance covered by it on circular path = 14 m

Since, object is moving on a circular path so after travelling some distance it make some angle it will make a angle at the center of that circular path which will be the displacement.

So the angular displacement is given by

$\theta=\ \dfrac{l}{r}$

where, l = distance covered by object on circular path

            r= radius of circular path

$\theta=\ \dfrac{14}{4}$

                = 3.5 radians

So, the angular displacement of the made by object is 3.5 radians.