---
title: "A horizontal turntable rotates about a fixed vertical axis passing through its center with negligible friction. A constant net torque is exerted on the turntable as it rotates. The graph shows the rotational kinetic energy \\(K\\) of the turntable as a function of its angular displacement \\(\\theta\\). What is the magnitude of the net torque exerted on the turntable?"
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url: "https://nerd-notes.com/ubq/120893/"
date_modified: "2026-08-23T04:44:11+00:00"
---

# A horizontal turntable rotates about a fixed vertical axis passing through its center with negligible friction. A constant net torque is exerted on the turntable as it rotates. The graph shows the rotational kinetic energy \(K\) of the turntable as a function of its angular displacement \(\theta\). What is the magnitude of the net torque exerted on the turntable?

A horizontal turntable rotates about a fixed vertical axis passing through its center with negligible friction. A constant net torque is exerted on the turntable as it rotates. The graph shows the rotational kinetic energy \(K\) of the turntable as a function of its angular displacement \(\theta\). What is the magnitude of the net torque exerted on the turntable?

![A 2D Cartesian graph with a horizontal axis labeled \theta\text{ (rad)} and a vertical axis labeled K\text{ (J)}. The horizontal axis has tick marks and numerical labels at 0, 1.0, 2.0, 3.0, 4.0, 5.0, and 6.0. The vertical axis has tick marks and numerical labels at 0, 6.0, 12.0, 18.0, 24.0, and 30.0. Fine dashed gridlines extend across the plot area from each tick mark. A single solid straight line starts at (0, 6.0), passes through the grid intersection at (3.0, 18.0), and ends at (6.0, 30.0). No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460250-Gj0pkQ.jpg)

- **A.** \(0.25 \text{ N}\cdot\text{m}\)
- **B.** \(2.0 \text{ N}\cdot\text{m}\)
- **C.** \(3.0 \text{ N}\cdot\text{m}\)
- **D.** \(4.0 \text{ N}\cdot\text{m}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120893/*