Estimate the moment of inertia of a bicycle wheel 68 cm in diameter. The rim and

Question

Estimate the moment of inertia of a bicycle wheel 68 cm in diameter. The rim and tire have a combined mass of 1.3 kg. Express your answer to two significant figures and include the appropriate units. The mass of the hub (at the center) can be ignored (why?). The hub mass can be ignored because its distance from the axis of rotation is very small, and so it has a very small rotational inertia. The hub mass can be ignored because its mass is very small, and so it has a very small rotational inertia.

Explanation / Answer

Because moment of inertia is defined as product of mass and square of the distance of mass from the axis of rotation thus the moment of inertia of hub will be very small as its distance from axis of rotation is small. Thus mass of the hub can be ignored as its distance from axis of rotation is small so it has very small moment of inertia. So correct answer is first option.

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