Uniform circular motion: 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 7.00 revolutions every 10.0 seconds. What is the magnitude of the acceleration of the ball? A) 67.9 m/s² B) 38.7 m/s² C) 29.3 m/s² D) 14.8 m/s² E) 74.2 m/s²

Question

Quizplus · Accepted Answer

The angular velocity of the ball is given by:
ω = (2π*7)/10 = 4.4 rad/s
The centripetal acceleration of the ball is given by:
a = rω^2 = (2.00 m)(4.4 rad/s)^2 = 38.7 m/s^2.
Therefore, the magnitude of the acceleration of the ball is 38.7 m/s^2. Option B is the correct answer.

Uniform Circular Motion: a Ball Is Tied to the End