Question Detail
Question
The tangential acceleration a_t of a point on a rotating object is related to its angular acceleration α and its distance r from the axis by
Correct Answer
Option B is the correct answer.
Detailed Explanation
Tangential acceleration is the rate of change of tangential speed v. Since v = rω, differentiating with respect to time gives dv/dt = r (dω/dt), or a_t = rα. This holds as long as r is constant.
Hint
Tangential acceleration is the linear acceleration tangent to the circular path. It results from a change in the magnitude of the tangential speed.