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title: "What is the rotational inertia \\( I \\) of a disk with a radius \\( R = 4 \\) \\( \\text{m} \\) and a mass \\( 2 \\) \\( \\text{kg} \\)? The same disk is rotated around an axis that is \\( 0.5 \\) \\( \\text{m} \\) from the center of the disk. What is the new rotational inertia \\( I \\) of the disk? What would the rotational inertia be if the disk axis was \\( 3.75 \\) \\( \\text{m} \\) from the center?"
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url: "https://nerd-notes.com/ubq/105412/"
date_modified: "2025-12-05T22:14:47+00:00"
---

# What is the rotational inertia \( I \) of a disk with a radius \( R = 4 \) \( \text{m} \) and a mass \( 2 \) \( \text{kg} \)? The same disk is rotated around an axis that is \( 0.5 \) \( \text{m} \) from the center of the disk. What is the new rotational inertia \( I \) of the disk? What would the rotational inertia be if the disk axis was \( 3.75 \) \( \text{m} \) from the center?

What is the rotational inertia \( I \) of a disk with a radius \( R = 4 \) \( \text{m} \) and a mass \( 2 \) \( \text{kg} \)? The same disk is rotated around an axis that is \( 0.5 \) \( \text{m} \) from the center of the disk. What is the new rotational inertia \( I \) of the disk? What would the rotational inertia be if the disk axis was \( 3.75 \) \( \text{m} \) from the center?

**Part a)** Determine the rotational inertia \( I \) of the disk about its central axis. *(3 points)*

**Part b)** Determine the rotational inertia \( I \) of the disk when rotated about an axis \( 0.5 \) \( \text{m} \) from its center. *(3 points)*

**Part c)** Determine the rotational inertia \( I \) of the disk when the rotation axis is \( 3.75 \) \( \text{m} \) from the center. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/105412/*