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Chapter 10: Problem 81

If both centrifuges are made thicker in the vertical direction, without changing their masses or mass distribution, their rotational inertias will a. remain the same. b. increase. c. decrease.

Short Answer

Expert verified
The rotational inertia of both centrifuges will remain the same.

Step by step solution

01

Understanding Rotational Inertia

Rotational inertia, also known as the moment of inertia, is a property of a rotating object dependent on its mass and the distribution of that mass around the axis of rotation. The formula is \(I = mr^2\), where m represents mass, and r is the object's radial distance from the axis of rotation.
02

Analysing the Scenario

In the given scenario, the mass (m) and the mass distribution (r) are said to remain constant even though the object's thickness increases in the vertical direction. The increase in thickness does not alter the radial distance from the axis of rotation.
03

Concluding the scenario

Since neither the mass nor the mass distribution is being modified, it follows that the rotational inertia will remain the same, because no contributing factors in its calculation are altered.

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Most popular questions from this chapter

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