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Q.

A particle moves along circle of radius 20πm  with constant tangential acceleration. If the speed of the particle is 80 m/s  at the end of the second revolution after motion has begun, the tangential acceleration is

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a

40m/s2

b

640πm/s2

c

40πm/s2

d

160πm/s2

answer is C.

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Detailed Solution

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ω2ω02=2αθ,θ=2πN

ω2=2α(2π×2)ω0=0,N=2

ω=8πα rad/s

V=rω80=20πωω=4πrad/s

16π2=8παα=2πrad/s2

at=rα=20π(2π)=40m/s2

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