Question

if the angular speed before the collision is 1 rad/s, what will be the angular speed (in rad/s) after the collision if the mass of the second disk is 4.5 times larger than the mass of the first disk?

Answer 1

The angular speed after the collision would still be 1 rad/s.

Step-by-step explanation:

To determine the angular speed after the collision, we can use the conservation of angular momentum. The formula for angular momentum is L = Iω, where L represents the angular momentum, I represents the moment of inertia, and ω represents the angular speed. Since the moment of inertia is directly proportional to the mass of the object, and the second disk has a mass that is 4.5 times larger than the first disk, we can assume that the moment of inertia of the second disk is also 4.5 times larger. Therefore, if the angular speed before the collision is 1 rad/s, the angular speed after the collision would still be 1 rad/s.