Question

Estimate the moment of inertia of a bicycle wheel 72 cm in diameter. The rim and tire have a combined mass of 1.4 kg . The mass of the hub can be ignored. Express your answer to two significant figures and include the appropriate units.

Answer 1

0.18 kg.m²

Explanation:

Moment of Inertia (I) = m r²----------------------------------------------------------- (1)

Where

m= mass of the rim and tire

r = radius

I = mr²----------------------------------------------------------------------- (2)

m =1.4kg

r =72/2

= 36cm

= 0.36 m

Substituting into (2), we have :

I = 1.4 x(0.36)²

= 0.18144‬

≈ 0.18 kg.m²