Question

A bicycle wheel has mass of the rim 1 kg and 50 spokes each of mass 5 g. If radius of the wheel is 40 cm then find the moment of inertia of the wheel.

• A. $0.160kg{m}^2$
• B. $0.174kg{m}^2$
• C. $0.18kg{m}^2$
• D. $0.196kg{m}^2$

Answer 1

The correct option is B $0.174kg{m}^2$

$I=M{R}^2+50m\frac{l^2}{3}=1(0.4{)}^2+\frac{50(5\times {10}^{-3})}{3}(0.4{)}^2=0.16[1+\frac{0.25}{3}]=0.174kg{m}^2$