A hollow spherical shell has mass 8.35 kg and radius 0.225 m. It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.885 rad/s^2.
What is the kinetic energy of the shell after it has turned through 6.00 rev?
K = 9.41 J
The kinetic energy of a spherical shell is given as:
where I = moment of inertia and
ω = angular velocity
Let us find I:
For a hollow sphere:
where M = mass = 8.35 kg
R = radius = 0.225 m
Let us find ω:
Since angular acceleration is constant:
Therefore, its kinetic energy is: