A ball attached to the end of a string is swung around in a circular path of radius r.If the radius is doubled and the angular speed is kept constant,
A)the centripetal acceleration remains the same.
B)the centripetal acceleration increases by a factor of 2.
C)the centripetal acceleration decreases by a factor of 2.
D)the centripetal acceleration increases by a factor of 4.
E)the centripetal acceleration decreases by a factor of 4.

Question

Quizplus · Accepted Answer

Centripetal acceleration is given by $ a_c = \omega^2 r $. If the radius $ r $ is doubled and angular speed $ \omega $ remains constant, the centripetal acceleration doubles.

A Ball Attached to the End of a String Is