A regulation table tennis ball has a mass of 2.7g and is 40mm in diameter. What is its moment of inertia about an axis that passes through its center?
The concepts required to solve this problem are moment of inertia of the hollow sphere and conversion of units.
First solve for the radius of the sphere from diameter and convert mass to kilogram. Then, substitute the values in the expression of moment of inertia of hollow sphere to calculate the moment of inertia of the tennis ball about an axis that passes through its center.
The radius of a sphere is half of the diameter. That is,
Here, is the radius and is the diameter.
The moment of inertia of hollow sphere about an axis that passes through its center is,
Here, is the moment of inertia, is the mass, and is the radius.
The relations used to coverts units are as follows:
The relation of diameter and radius is.
Substitute for in the equation .
Convert mm to m by multiplying with .
Convert mass to kg by multiplying with .
The expression of moment of inertia of the tennis ball is,
Substitute for , and in the equation and calculate the moment of inertia of the tennis ball about an axis that passes through its center.
Ans:
The moment of inertia of the tennis ball about an axis that passes through its center is .
A regulation table tennis ball has a mass of 2.7g and is 40mm in diameter. What is its moment of inertia about an axis...
Problem 7.25 A regulation table tennis ball has a mass of 2.9 g and is 42 mm in diameter. Part A What is its moment of inertia about an axis that passes through its center? Express your answer using two significant figures. fempBe Symbols fido redo reslet keyboard shortcuts belo Submit Request Answer Provide Feedback
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