Question

A particle is moving uniformly in a circular path of radius r. What is the magnitude of its change in velocity if it moves through an angular displacement theta.​

Answer 1

Answer:

The particle starts from point P and reaches at R after moving an angular displacement of θ.

∴ The linear displacement of the particle s=PR

From the geometry, PQ=r sin(

2

θ

)

∴ s=2PQ=2r sin(

2

θ

) (∵PQ=

2

1

PR)