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Question

Tangential acceleration of a particle moving in a circle of radius 1 m varies with time t as shown in the figure (initial velocity of particle is zero). Time after which total acceleration of particle makes an angle of 30 with radial acceleration is



A
4 s
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B
4/3 s
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C
22/3 s
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D
2 s
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Solution

The correct option is C 22/3 s
From the given equation we can write the line equation as
at=3t
So,
dvdt=3t
v0dv=t03tdt
v=3t22
and 
ar=v2r
ar=3t44

tan30=atar
13=3t43t4
On solving we get t=22/3

Physics

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