Find the magnitude of the linear acceleration of a particle moving in a circle of radius 10cm with uniform speed completing the circle in 4s?
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The linear acceleration will be 0.039 ms^(-2).
Explanation:
If a body moves in a circle it has centripetal acceleration as well as linear acceleration. In this particular question we will find linear acceleration of a body which is moving in a circle.
r = 10cm = 0.1m
t = 4s
we know that:
V = 2πr/t = 2π(0.1)/4 = 0.157 ms^(-1)
a = V/t = 0.157/4 = 0.039 ms^(-2)
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