Kinematics of Rotational Motion (Problem 9)

Everyday application: Suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its string is being pulled.(a) If the string is stationary and the yo-yo accelerates away from it at a rate of $1.50{\text{ m/s}}^2$, what is the angular acceleration of the yo-yo? (b) What is the angular velocity after 0.750 s if it starts from rest? (c) The outside radius of the yo-yo is 3.50 cm. What is the tangential acceleration of a point on its edge? Select the answer to part (a).