---
title: "A rigid flywheel with a rotational inertia of \\(2.0 \\text{ kg}\\cdot\\text{m}^2\\) is initially at rest. A net torque \\(\\tau\\) is applied to the flywheel as a function of time \\(t\\), as shown in the graph. What is the rotational kinetic energy of the flywheel at \\(t = 4.0 \\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/117658/"
date_modified: "2026-08-04T07:49:34+00:00"
---

# A rigid flywheel with a rotational inertia of \(2.0 \text{ kg}\cdot\text{m}^2\) is initially at rest. A net torque \(\tau\) is applied to the flywheel as a function of time \(t\), as shown in the graph. What is the rotational kinetic energy of the flywheel at \(t = 4.0 \text{ s}\)?

A rigid flywheel with a rotational inertia of \(2.0 \text{ kg}\cdot\text{m}^2\) is initially at rest. A net torque \(\tau\) is applied to the flywheel as a function of time \(t\), as shown in the graph. What is the rotational kinetic energy of the flywheel at \(t = 4.0 \text{ s}\)?

![A quantitative Cartesian coordinate graph plotting net torque \(\tau\) in newton-meters on the vertical axis versus time \(t\) in seconds on the horizontal axis. The horizontal axis spans from 0 to 5.0 with major grid ticks every 1.0 unit. The vertical axis spans from 0 to 14 with major grid ticks every 2 units. A single straight solid line segment starts at the point (0, 12) on the vertical axis and slopes downward to end at the point (4.0, 0) on the horizontal axis. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785829774-al4HZk.jpg)

- **A.** \(24 \text{ J}\)
- **B.** \(144 \text{ J}\)
- **C.** \(288 \text{ J}\)
- **D.** \(576 \text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117658/*