Question

Why is it easier to revolve a stone using a shorter string than a longer string?

Answer 1

Torque

1. Torque is the measure of the force that can cause an object to rotate about an axis.
2. Force is what causes an object to accelerate in linear kinematics. Similarly, torque is what causes an angular acceleration.
3. Hence, torque can be defined as the rotational equivalent of linear force.

Formula

1. $Torque=Force\times Perpendiculardis\tan ce$
2. $Torque\propto perpendiculardis\tan ce$

Analyzing

1. In this situation, the perpendicular distance is the length of the string.
2. The longer the string gets, the more torque is required to rotate it since torque is proportional to perpendicular distance.
3. As a result, we can conclude that tying a stone to a shorter string makes it easier to spin.