Torque

When no external torque acts on a rotating system, the system undergoes conservation of angular momentum. This means that the angular momentum of the system remains constant.

The angular momentum of a rotating body is given by: Where: - is the moment of inertia, - is the angular velocity. When there is no external torque, angular momentum is conserved, i.e., remains constant. The rotational kinetic energy of a rotating body is given by: Since , we can express in terms of and : Substituting this into the equation for : From this, we can see that the rotational kinetic energy is inversely proportional to the moment of inertia when angular momentum is conserved. Thus, the correct statement is:

Correct Answer:

Correct Answer: (D) its rotational kinetic energy is inversely proportional to moment of inertia