Tangential Acceleration in Circular Motion – Rankers Physics
Topic: Circular Motion
Subtopic: Kinematics of Circular Motion

Tangential Acceleration in Circular Motion

A particle of mass $10 \text{ g}$ moves along a circle of radius $6.4 text{ cm}$ with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to $8 \times 10^{-4} \text{ J}$ by the end of the second revolution after the beginning of the motion?

(2016-I)

$0.1 \text{ m/s}^2$
$0.15 \text{ m/s}^2$
$0.18 \text{ m/s}^2$
$0.2 \text{ m/s}^2$

Solution:

Work done by tangential force $W = (ma_t)s = \Delta K$, where distance $s = 4\pi r = 4 \times \pi \times 0.064 \text{ m}$. Substituting values gives $a_t = 0.1 \text{ m/s}^2$.

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