Question

A particle moves in a circle of radius 25 cm at two revolutions per sec. The acceleration of the particle in $m / s^{2}$ is:

Easy

Solution

r = 25 $\times 10^{- 2} m, f = 2 / \sec$
$ω = 2 πf = 4 π rad / \sec$
Acceleration = $ω^{2} r = {(4 π)}^{2} \times 25 \times 10^{- 2}$
= 16 $\times$ 25 $\times$ $10^{- 2} π^{2}$ $m / s^{2}$
= 4 $π^{2}$ $m / s^{2}$

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