## Related questions with answers

Question

Estimate the moment of inertia of a bicycle wheel $67 \mathrm{~cm}$ in diameter. The rim and tire have a combined mass of $1.1 \mathrm{~kg}$. The mass of the hub (at the center) can be ignored (why?).

Solution

VerifiedStep 1

1 of 2Moment of inertia of a wheel can be calculated:

$I=m\cdot r^2=1.1 \cdot \left (\frac{0.67}{2} \right )^2$

$\boxed{I=0.1234\,\,\rm{kgm^2}}$

We can ignore mass at the center because its effects are negligible due to the $\textbf{small distance from the centre}$.

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