---
title: "A small motor pulley with a radius of \\( 0.050 \\text{ m} \\) is rotating at \\( 1200 \\text{ rotations per minute (RPM)} \\). The motor pulley is connected by a non-slipping belt to a larger output pulley with a radius of \\( 0.20 \\text{ m} \\). When the motor is turned off, the pulleys slow down with a constant angular acceleration and come to a complete stop in \\( 10 \\text{ s} \\). What is the magnitude of the angular acceleration of the larger output pulley during this time interval?"
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url: "https://nerd-notes.com/ubq/111386/"
date_modified: "2026-04-11T01:02:53+00:00"
---

# A small motor pulley with a radius of \( 0.050 \text{ m} \) is rotating at \( 1200 \text{ rotations per minute (RPM)} \). The motor pulley is connected by a non-slipping belt to a larger output pulley with a radius of \( 0.20 \text{ m} \). When the motor is turned off, the pulleys slow down with a constant angular acceleration and come to a complete stop in \( 10 \text{ s} \). What is the magnitude of the angular acceleration of the larger output pulley during this time interval?

A small motor pulley with a radius of \( 0.050 \text{ m} \) is rotating at \( 1200 \text{ rotations per minute (RPM)} \). The motor pulley is connected by a non-slipping belt to a larger output pulley with a radius of \( 0.20 \text{ m} \). When the motor is turned off, the pulleys slow down with a constant angular acceleration and come to a complete stop in \( 10 \text{ s} \). What is the magnitude of the angular acceleration of the larger output pulley during this time interval?

- **A.** \( 0.79 \text{ rad/s}^2 \)
- **B.** \( 3.1 \text{ rad/s}^2 \)
- **C.** \( 13 \text{ rad/s}^2 \)
- **D.** \( 50 \text{ rad/s}^2 \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/111386/*