#### Question

A particle rotates in U.C.M. with tangential velocity V along a horizontal circle of diameter ‘D' . Total angular displacement of the particle in time 't' is..........

(a) vt

(b) (v/D)-t

(c) vt/2D

(d) 2vt/D

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#### Solution

`2(vt)/D`

Velocity= v ; Diameter= D →Radius= `D/2`

`omega=theta/t andv=r*omega`

`therefore v=D/2*theta/t`

`therefore theta=(2vt)/D`

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#### Reference Material

Solution for question: A particle rotates in U.C.M. with tangential velocity V along a horizontal circle of diameter ‘D' . Total angular displacement of the particle in time 't' is concept: Uniform Circular Motion. For the courses HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)