What is the tangential acceleration of a bug on the rim of a 12.0 in. diameter disk if the disk moves from rest to an angular speed of 75 rev/min in 4.0 s?

Answer 1

First calculate the angular acceleration, alpha , in radians/s^2.
w(final) = 75 rpm *2 pi rad/rev/60 s/min = 7.85 rad/s
alpha = w(final)/4.0 s = ___ rad/s^2

Tangential acceleration = R * alpha = __ m/s^2

I suggest using metric units (R = 0.1524 m), to get the tangential acceleration in m/s^2. If you use R = 6 inches, a will be in in/s^2.