Question
Why it is more difficult to revolve a stone by tying it to a longer string than by tying it to shorter string?
Solution
The torque required to revolve the stone with a given angular acceleration is directly proportional to the moment of inertia of the stone.
Moment of inertia of stone about an axis is directly proportional to the square of the length of the string.
Thus, more torque is required to revolve a stone tied with a longer string than tying it with a shorter string.
Moment of inertia of stone about an axis is directly proportional to the square of the length of the string.
Thus, more torque is required to revolve a stone tied with a longer string than tying it with a shorter string.
