---
title: "An ice skater that is spinning in circles has an initial rotational inertia \\(I_i\\). You can approximate her shape to be a cylinder. She is spinning with velocity \\(\\omega_i\\). As she extends her arms, her rotational inertia changes by a factor of \\(x\\) and her angular velocity changes by a factor of \\(y\\). Which one of the following options best describe \\(x\\) and \\(y\\)?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/22831/"
date_modified: "2026-04-16T06:25:00+00:00"
---

# An ice skater that is spinning in circles has an initial rotational inertia \(I_i\). You can approximate her shape to be a cylinder. She is spinning with velocity \(\omega_i\). As she extends her arms, her rotational inertia changes by a factor of \(x\) and her angular velocity changes by a factor of \(y\). Which one of the following options best describe \(x\) and \(y\)?

An ice skater that is spinning in circles has an initial rotational inertia \(I_i\). You can approximate her shape to be a cylinder. She is spinning with velocity \(\omega_i\). As she extends her arms, her rotational inertia changes by a factor of \(x\) and her angular velocity changes by a factor of \(y\). Which one of the following options best describe \(x\) and \(y\)?

- **A.** \(x = 1\), \(y < 1\)
- **B.** \(x = 2\); \(y = \frac{1}{2}\)
- **C.** \(x > 1\); \(y < 1\)
- **D.** \(x < 1\); \(y > 1\)
- **E.** (e) \(x > 1\); \(y > 1\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/22831/*