A solid sphere is in a rolling motion. In rolling motion, a body possesses translational kinetic energy as well as rotational kinetic energy simultaneously. The ratio for the sphere is?
Moment of inertia
Translational and rotational motion
Step 1: Given data
The translational kinetic energy is .
The rotational kinetic energy is .
Step 2: Finding the energies
Let r be the radius of the sphere.
As we know, and .
So,
Step 3: Finding the ratio of energies
Again,
The ratio for the sphere is:.