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Chapter 1: Q10DQ (page 294)

To maximize the moment of inertia of a flywheel while minimizing its weight, what shape and distribution of mass should it have? Explain.

Short Answer

Expert verified

A thin-walled hollow cylinder is used to maximize the moment of inertia of a flywheel while minimizing its weight.

Step by step solution

01

Concept/Significance of Moment of inertia

The moment of inertia is equal to the product of the sum of the masses of the different particles and the square of the distance from the axis of rotation.

02

Determine the shape and distribution of mass to maximize the moment of inertia of a flywheel while minimizing its weight

The expression for the moment of inertial of a flywheel is as follows:

l=mr2

Here, m is the mass of the wheel and r is the radius of the wheel.

The shape of the flywheel is to be changed to maximize the moment of inertia of a flywheel. It should be a thin-walled hollow cylinder so that by the definition of the moment of inertia the mass will have the greatest distance from the rotational axis.

Therefore, a thin-walled hollow cylinder is used.

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