A homogeneous cylinder of radius R and mass m has a moment of inertia about its central axis given by. If a cylinder has a mass of 4000 g and a diameter of 20 cm, what is its moment of inertia about that central axis?
The moment of inertia about the central axis of a homogeneous cylinder having a mass of 4000 g and a diameter of 20 cm.
Answer to Problem 29SP
Solution:
Explanation of Solution
Given data:
The mass of the cylinder is
The diameter of the cylinder is
Formula used:
Write the expression for moment of inertia about the central axis of a homogeneous cylinder:
Here,
Explanation:
Recall the expression for moment of inertia about the central axis of a homogeneous cylinder:
Substitute
Conclusion:
The moment of inertia of the given homogeneous cylinder is
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Chapter 10 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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