---
title: "A mechanical wheel initially at rest on the floor begins rolling forward with an angular acceleration of \\( 2\\pi \\, \\text{rad/s}^2 \\). If the wheel has a radius of \\( 2 \\, \\text{m} \\), what distance does the wheel travel in \\( 3 \\) seconds?"
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url: "https://nerd-notes.com/ubq/39386/"
date_modified: "2025-03-03T07:55:18+00:00"
---

# A mechanical wheel initially at rest on the floor begins rolling forward with an angular acceleration of \( 2\pi \, \text{rad/s}^2 \). If the wheel has a radius of \( 2 \, \text{m} \), what distance does the wheel travel in \( 3 \) seconds?

A mechanical wheel initially at rest on the floor begins rolling forward with an angular acceleration of \( 2\pi \, \text{rad/s}^2 \). If the wheel has a radius of \( 2 \, \text{m} \), what distance does the wheel travel in \( 3 \) seconds?

- **A.** [katex] 4\pi \, m[/katex]
- **B.** [katex] 6\pi \, m[/katex]
- **C.** [katex] 16\pi \, m[/katex]
- **D.** [katex] 18\pi \, m[/katex]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/39386/*