A wheel with an initial $\omega = 0$ rotates at constant $\alpha ( \neq 0 )$. A while later, the acceleration of a point on the rim must include all of the following except
A) a tangential component.
B) a radial component.
C) a fixed direction, with respect to a radial line connecting the point on the rim to the axis of rotation.
D) Hold it! There are no exceptions.

Question

Quizplus · Accepted Answer

The acceleration of a point on the rim of a wheel rotating with constant angular acceleration includes both a tangential component (due to the change in speed) and a radial (centripetal) component (due to the change in direction of the velocity vector). However, the direction of the acceleration with respect to a radial line connecting the point on the rim to the axis of rotation is not fixed; the tangential component changes as the wheel speeds up, but the radial component's direction changes as the point moves around the circle.

A Wheel with an Initial ω=0\omega = 0ω=0 Rotates at Constant α(≠0)\alpha ( \neq 0 )α(=0)

A Wheel with an Initial $\omega = 0$ Rotates at Constant $\alpha ( \neq 0 )$