= (6000rad)/(60s) = 100rad/s
An airplane propellor spins up from zero to 3000rpm (314rad/s) in ten seconds. What is its angular acceleration in rad/s?
First calculate the angular velocity in rad/s.
Next, use the relationship between angular and linear velocity:
v = (10m)(0.628rad/s) = 6.28m/s.
The acceleration of the rope in its direction of motion is the same all along its length. Calculate the acceleration where the rope is on the drum by using the formula:
A yo-yo is supported by a string which is wound around its central post. The string unwinds as the yo-yo descends. If the radius of the central post is half a centimeter (0.005m) and the yo-yo is accelerating downward at 1m/s, what is the angular acceleration of the yo-yo around its central post?
Use the relation