Question

Why is it more difficult to revolve a stone tied to a longer string than a stone tied to a shorter string?

Answer 1

The longer the string, the greater is the radius of the stone rotating. From the formula of rotational energy, we can see that we will have to give greater energy to the stone system.

Answer 2

Answer:

It is more difficult to revolve a stone attached to a longer string than a stone tied to a shorter string because the tension and weight of the stone are equal and opposite to each other on a shorter string.

Explanation:

The radius of the stone rotating increases as the rope length increases. We can see from the rotational energy calculation that we will need to provide more energy to the stone system.

• The torque needed to revolve the stone with a given angular acceleration is proportional to the stone's moment of inertia.

• The moment of inertia of a stone about an axis is proportional to the cube of the string length.

• As a result, a lengthier string requires more torque to revolve a stone than a shorter string.

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