Question
Multiple Cholce Questlon
A rotor has a weight of 100 lb with a centroidal radius of gyration of 9 in . Determine the moment of inertia about the center of gravity for the rotor.
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A rotor has a weight of 100 lb with a centroidal radius of gyration of 9 in . Determine the moment of inertia about the center of gravity for the rotor.
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Ask by Whittaker Murphy. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The moment of inertia about the center of gravity for the rotor is
.
Solution

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The Deep Dive
To determine the moment of inertia (I) about the center of gravity for the rotor, we can use the formula:
where
is the weight and
is the radius of gyration.
Given
and
(since there are 12 inches in a foot), we can substitute the values into the formula:
Calculating this gives:
Thus, the correct answer is
.
To ensure your calculations are always spot on, double-check your unit conversions. It’s easy to miss switching from inches to feet or from pounds to a different unit. A quick method is to always write the base units clearly before plugging them into formulas—this can save you from a “unit mix-up” trap!