12th grade
posted by Janelle .
A bicycle wheel has a radius of 0.330 m and a rim whose mass is 1.20 kg. The wheel has 50 spokes, each with a mass of 0.010 kg.
a.) Calculate the moment of inertia of the rim about the axle.
b.) Determine the moment of inertia of any one spoke, assuming it to be a long, thin rod that can rotate about one end.
c.) Find the total moment of inertia of the wheel, including the rim and all 50 spokes.

The subject is not the grade level
a. The moment contribution of the rim is
Irim = Mrim * R^2
b. The moment contribution of one spoke is
Ispoke = (Mspoke*R^2)/3
c. Add them up. Remember to multiply the single spoke contribution by 50.