---
title: "A uniform rigid flywheel rotates about a fixed frictionless axle that passes through its center perpendicular to the flywheel. A sensor records the rotational motion of the flywheel as an external torque is applied, producing the graph of the square of angular speed, \\(\\omega^2\\), as a function of angular displacement, \\(\\theta\\), shown. Which of the following claims correctly describes the angular acceleration of the flywheel?"
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url: "https://nerd-notes.com/ubq/120787/"
date_modified: "2026-08-23T04:43:22+00:00"
---

# A uniform rigid flywheel rotates about a fixed frictionless axle that passes through its center perpendicular to the flywheel. A sensor records the rotational motion of the flywheel as an external torque is applied, producing the graph of the square of angular speed, \(\omega^2\), as a function of angular displacement, \(\theta\), shown. Which of the following claims correctly describes the angular acceleration of the flywheel?

A uniform rigid flywheel rotates about a fixed frictionless axle that passes through its center perpendicular to the flywheel. A sensor records the rotational motion of the flywheel as an external torque is applied, producing the graph of the square of angular speed, \(\omega^2\), as a function of angular displacement, \(\theta\), shown. Which of the following claims correctly describes the angular acceleration of the flywheel?

![A 2D Cartesian graph with bare axes and no gridlines. The horizontal axis has an arrow pointing to the right and is labeled \(\theta\text{ (rad)}\). The vertical axis has an arrow pointing upward and is labeled \(\omega^2\text{ (rad}^2/\text{s}^2)\). The origin is labeled \(0\). On the vertical axis, a tick mark is labeled \(\omega_0^2\). A single solid straight line begins at the point \((0, \omega_0^2)\) on the vertical axis and extends upward and to the right with a constant positive slope across the first quadrant. No other labels, lines, gridlines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460202-ELmodZ.jpg)

- **A.** The flywheel experiences a constant angular acceleration with a magnitude equal to half the slope of the graph.
- **B.** The flywheel experiences a constant angular acceleration with a magnitude equal to the slope of the graph.
- **C.** The flywheel experiences an angular acceleration that increases linearly with \(\theta\), with a rate of increase equal to half the slope of the graph.
- **D.** The flywheel experiences an angular acceleration that is inversely proportional to \(\omega\), with a value that depends on the instantaneous angular position.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120787/*