---
title: "Wheels \\( A \\) and \\( B \\) are connected by a moving belt and are both free to rotate about their centers, as shown. The belt does not slip on the wheels. The radius of Wheel \\( B \\) is twice the radius of Wheel \\( A \\). Wheel \\( A \\) has constant angular speed \\( \\omega_A \\) and Wheel \\( B \\) has constant angular speed \\( \\omega_B \\). Which of the following correctly relates \\( \\omega_A \\) and \\( \\omega_B \\)?"
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url: "https://nerd-notes.com/ubq/81238/"
date_modified: "2025-03-13T11:09:39+00:00"
---

# Wheels \( A \) and \( B \) are connected by a moving belt and are both free to rotate about their centers, as shown. The belt does not slip on the wheels. The radius of Wheel \( B \) is twice the radius of Wheel \( A \). Wheel \( A \) has constant angular speed \( \omega_A \) and Wheel \( B \) has constant angular speed \( \omega_B \). Which of the following correctly relates \( \omega_A \) and \( \omega_B \)?

Wheels \( A \) and \( B \) are connected by a moving belt and are both free to rotate about their centers. The belt does not slip on the wheels. The radius of Wheel \( B \) is twice the radius of Wheel \( A \). Wheel \( A \) has constant angular speed \( \omega_A \) and Wheel \( B \) has constant angular speed \( \omega_B \). Which of the following correctly relates \( \omega_A \) and \( \omega_B \)?

- **A.** \[ \omega_A = \frac{\omega_B}{2} \]
- **B.** \[ \omega_A = \omega_B \]
- **C.** \[ \omega_A = 2 \omega_B \]
- **D.** \[ \omega_A = 4 \omega_B \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/81238/*