---
title: "A rigid flywheel with rotational inertia \\(I = 2.0\\text{ kg}\\cdot\\text{m}^2\\) is mounted on a fixed, frictionless axle and is initially at rest. A net torque \\(\\tau\\) is applied to the flywheel as a function of angular displacement \\(\\theta\\), as shown in the graph. What is the instantaneous power delivered to the flywheel at \\(\\theta = 4.0\\text{ rad}\\)?"
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url: "https://nerd-notes.com/ubq/124381/"
date_modified: "2026-09-28T14:05:04+00:00"
---

# A rigid flywheel with rotational inertia \(I = 2.0\text{ kg}\cdot\text{m}^2\) is mounted on a fixed, frictionless axle and is initially at rest. A net torque \(\tau\) is applied to the flywheel as a function of angular displacement \(\theta\), as shown in the graph. What is the instantaneous power delivered to the flywheel at \(\theta = 4.0\text{ rad}\)?

A rigid flywheel with rotational inertia \(I = 2.0\text{ kg}\cdot\text{m}^2\) is mounted on a fixed, frictionless axle and is initially at rest. A net torque \(\tau\) is applied to the flywheel as a function of angular displacement \(\theta\), as shown in the graph. What is the instantaneous power delivered to the flywheel at \(\theta = 4.0\text{ rad}\)?

![A quantitative Cartesian graph of net torque versus angular displacement. The horizontal axis is labeled \theta\text{ (rad)} and has major tick marks and numerical labels at 0, 1, 2, 3, 4, and 5. The vertical axis is labeled \tau\text{ (N}\cdot\text{m)} and has major tick marks and numerical labels at 0, 1, 2, 3, 4, 5, 6, and 7. Light gray orthogonal gridlines extend across the plot at each integer tick mark. A single solid black line segment starts at the vertical axis intercept at (0, 6) and slopes downward to the right, terminating at the point (4, 2). No other lines, curves, shading, or text appear on the graph.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1790604303-YzxZiy.jpg)

- **A.** \(4.0\text{ W}\)
- **B.** \(8.0\text{ W}\)
- **C.** \(16\text{ W}\)
- **D.** \(24\text{ W}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124381/*