---
title: "A windmill blade with a rotational inertia of \\( 6.0 \\) \\( \\text{kg} \\cdot \\text{m}^2 \\) has an initial angular velocity of \\( 8 \\) \\( \\text{rad/s} \\) in the clockwise direction. It is then given an angular acceleration of \\( 4 \\) \\( \\text{rad/s}^2 \\) in the clockwise direction for \\( 10 \\) seconds. What is the change in rotational kinetic energy of the blade over this time interval?"
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url: "https://nerd-notes.com/ubq/84532/"
date_modified: "2025-03-27T03:11:34+00:00"
---

# A windmill blade with a rotational inertia of \( 6.0 \) \( \text{kg} \cdot \text{m}^2 \) has an initial angular velocity of \( 8 \) \( \text{rad/s} \) in the clockwise direction. It is then given an angular acceleration of \( 4 \) \( \text{rad/s}^2 \) in the clockwise direction for \( 10 \) seconds. What is the change in rotational kinetic energy of the blade over this time interval?

A windmill blade with a rotational inertia of \( 6.0 \) \( \text{kg} \cdot \text{m}^2 \) has an initial angular velocity of \( 8 \) \( \text{rad/s} \) in the clockwise direction. It is then given an angular acceleration of \( 4 \) \( \text{rad/s}^2 \) in the clockwise direction for \( 10 \) seconds. What is the change in rotational kinetic energy of the blade over this time interval?

- **A.** \( 48 \) \( \text{J} \)
- **B.** \( 192 \) \( \text{J} \)
- **C.** \( 4800 \) \( \text{J} \)
- **D.** \( 6720 \) \( \text{J} \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/84532/*