To Find:The moment of the inertia of bicycle.
Answer to Problem 28P
The moment of inertia of a bicycle wheel is
Explanation of Solution
Given information:
Diameter of wheel,
The combined mass of rim and tire,
Formula used:
The equation for the radius of the wheel is,
Here,
D = diameter of the wheel
The equation for the moment of inertia of the bicycle wheel is,
Here,
M = combined mass of the rim and tire
r = radius of the wheel
Calculation:
Substitute 66.7 cm for D in above equation.
According to the question, the mass of the hub can be ignored, substitute 1.25 kg for M and 0.335 m for radius to calculate inertial.
Therefore, the moment of inertia of a bicycle wheel is
Conclusion:
The moment of inertia of a bicycle wheel is
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