---
title: "Consider a uniform hoop of radius R and mass M rolling without slipping. Which is larger, its translational kinetic energy or its rotational kinetic energy?"
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url: "https://nerd-notes.com/ubq/29890/"
date_modified: "2026-04-13T07:18:49+00:00"
---

# Consider a uniform hoop of radius R and mass M rolling without slipping. Which is larger, its translational kinetic energy or its rotational kinetic energy?

Figure 1. A uniform hoop of radius R rolling without slipping on a horizontal surface.

Consider a uniform hoop of radius R and mass M rolling without slipping. Which is larger, its translational kinetic energy or its rotational kinetic energy?

![Figure 1. A uniform hoop of radius R rolling without slipping on a horizontal surface.](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/nerd-notes-physical-setup-29890-1776064651-1024x572.jpg)

- **A.** Both are equal.
- **B.** Rotational kinetic energy is larger.
- **C.** Translational kinetic energy is larger.
- **D.** You need to know the speed of the hoop to tell.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/29890/*