An expensive carbon weave 5-spoke bike wheel has total mass M and radius R. If half the mass of the wheel is in the spokes, what is this wheel's moment of inertia?

I =

Explanation: Moment of Inertia (I) is the opposition on a rotating body. Generally, is calculated by  

A bycicle wheel is composed of numerous parts and each part has its own moment of inertia.

Moment of inertia for this 5-spoke bike wheel will be:

Inertia of ring:

For the 5-spoke wheel:

Inertia of spokes:

where

n is the number of spokes

For the 5-spoke wheel, half of the total mass is the spokes, then:

Inertia of the wheel is the sum of both inertia:

The moment of inertia of the 5-spoke bike wheel is

insects!

explanation: