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
B
4/3 s
C
22/3 s
D
2 s

Solution

The correct option is C 22/3 sFrom the given equation we can write the line equation as at=√3t So, dvdt=√3t ∫v0dv=∫t0√3tdt v=√3t22 and  ar=v2r ar=3t44 tan30∘=atar 1√3=√3t43t4 On solving we get t=22/3Physics

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