Answer to Question #192117 in Physics for Maru

Question

The wheel 3ft radius rolls freely to the right. At the given position, ώ = 3rad per sec.

and α = 5rad per sec. sq., both clockwise. Compute the velocity and acceleration of

the point point B which is 2ft from the center A of the wheel

Answer 1

The velocity and acceleration of the point point B which is 2ft from the center of the wheel are

$$v_B=\omega r_B=3·2=6\text{ ft/s},\\ a_B=\omega^2 r_B=3^22=18\text{ft/s}^2.$$