Google has not helped me very much on this matter:

I need to calculate the moment of inertia of a bicycle wheel by using equations only (let’s assume the wheel does not yet exist).

I think I need to work out the moment of inertia of the brake disc, the spokes (perhaps by treating the spokes as a solid disc of the same collective mass and radius?), the rim, the tyre (tubeless design) and if possible (although it complicates things) the air valve. As I understand things, the moment of inertia for the wheel is the sum of all the wheel component MOI’s?

So I need a formula for calculating MOI for the different shapes, the hardest of which, I imagine, is the tyre.

Is anyone able to assist?