Home Physics Motion in a Plane Mix A particle moves along a circle of radius m…
Physics Motion in a Plane Mix MCQ (Single Correct)

A particle moves along a circle of radius m 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:

A
160 π m/s 2
B
40 π m/s 2
C
40 m/s 2
D
640 π m/s 2

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Text Solution

Verified by Experts
The correct answer is:
C

r = m, a t = constant

n = 2 nd revolution

v = 80 m/s

ω 0 = 0, ω f = = = 4πrad/sec

θ = 2π × 2 = 4π

from 3 rd equation

ω 2 = ω 0 2 + 2αθ

(4π) 2 = 0 2 + 2 × α × (4π)

α = 2πrad/s 2

a t = αr = 2π × = 40 m/s 2

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