A ball is tied to the end of a cable of negligible mass. The ball is spun in a circle with a radius 2.00 m making 0.700 revolutions per second. What is the centripetal acceleration of the ball? A)67.9 m/s B)38.7 m/s² C)29.3 m/s D)14.8 m/s E)74.2 m/s

Question

Quizplus · Accepted Answer

The centripetal acceleration is calculated using the formula $ a_c = 4\pi^2r f^2 $, where $ r = 2.00 \, \text{m} $ and $ f = 0.700 \, \text{rev/s} $. Plugging in the values, $ a_c = 4\pi^2(2.00)(0.700)^2 \approx 38.7 \, \text{m/s}^2 $.

A Ball Is Tied to the End of a Cable