Two wheels are identical but wheel B is spinning with twice the angular speed of wheel A. The ratio of the magnitued of the radical acceleration of a point on the rim of B to the magnitude of the radial acceleration of a point on the rim of A is:
A) 1
B) 2
C) 1/2
D) 4
E) 1/4

Question

Quizplus · Accepted Answer

Radial acceleration is given by the formula $ a_r = \omega^2 r $. Since wheel B has twice the angular speed of wheel A, the radial acceleration of B is $ (2\omega)^2 r = 4\omega^2 r $, which is four times that of A.

Two Wheels Are Identical but Wheel B Is Spinning with Twice