Question

the particle rotates in uniform circular motion with tangential velocity 'v' along a horizontal circle of diameter 'D'. Total angular displacement in time 't' is____
a) vt
b) (v/D)-t
c) vt/2D
d) 2vt/D

Answer 1

tangential velocity= v

angular velocity = v/r = 2v/D

angular displacement= 2v/D × t = 2vt/D

Answer is D.

Answer 2

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tangential velocity= v

angular velocity = v/r = 2v/D

angular displacement= 2v/D × t = 2vt/D

therefore,Answer is D.