A particle moves in a circular path of radius 0.10 m with a constant angular speed of 5 rev/s. The acceleration of the particle is: A) 0.10 $\pi$ m/s² B) 0.50 m/s² C) 500 $\pi$ m/s² D) 1000 $\pi$ ² m/s² E) 10 $\pi$ ² m/s²

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Quizplus · Accepted Answer

The centripetal acceleration $ a_c $ is given by $ a_c = \omega^2 r $, where $ \omega = 2\pi \times 5 \, \text{rad/s} $ and $ r = 0.10 \, \text{m} $. Calculating gives $ a_c = (10\pi)^2 \times 0.10 = 10^2 \pi^2 \times 0.10 = 10\pi^2 \, \text{m/s}^2 $.

A Particle Moves in a Circular Path of Radius 0 π\piπ

A Particle Moves in a Circular Path of Radius 0 $\pi$