Figure 0.1 -0.01 rad/s2 2.0m Point P is on the rim of a wheel of radius 2.0 m. At time t = 0, the wheel is at rest, and P is on the x-aa. The wheel undergoes a uniform angular acceleration of a.01 rad/s2 about the center O. In Figure 0.1, the magnitude of the linear acceleration of P. when it reaches the y-axis, is closest to: - 0.000 m/s? •0.080 m/s2 OC.0.03 mis? O D.0.075 m/s? O E. 0.072 m/s?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Figure 9.1 Description and Problem Analysis**

In this exercise, we analyze the motion of a point \( P \) located on the rim of a wheel. Here are the details:

- **Figure 9.1**: The diagram shows a wheel with a radius of 2.0 meters. Point \( P \) is positioned on the rim of the wheel. Initially (\( t = 0 \)), the wheel is at rest, and point \( P \) is aligned along the x-axis. The wheel begins to rotate with a uniform angular acceleration of \( 0.01 \, \text{rad/s}^2 \) around the center \( O \).

- **Problem**: The task is to determine the magnitude of the linear acceleration of point \( P \) when it reaches the y-axis.

**Possible Answer Choices:**

A. \( 0.069 \, \text{m/s}^2 \)

B. \( 0.068 \, \text{m/s}^2 \)

C. \( 0.063 \, \text{m/s}^2 \)

D. \( 0.075 \, \text{m/s}^2 \)

E. \( 0.072 \, \text{m/s}^2 \)

This problem involves using the relationship between angular motion and linear motion to calculate acceleration. Specifically, understanding the conversion between angular acceleration and linear acceleration is key to finding the correct answer when \( P \) is at the y-axis.
Transcribed Image Text:**Figure 9.1 Description and Problem Analysis** In this exercise, we analyze the motion of a point \( P \) located on the rim of a wheel. Here are the details: - **Figure 9.1**: The diagram shows a wheel with a radius of 2.0 meters. Point \( P \) is positioned on the rim of the wheel. Initially (\( t = 0 \)), the wheel is at rest, and point \( P \) is aligned along the x-axis. The wheel begins to rotate with a uniform angular acceleration of \( 0.01 \, \text{rad/s}^2 \) around the center \( O \). - **Problem**: The task is to determine the magnitude of the linear acceleration of point \( P \) when it reaches the y-axis. **Possible Answer Choices:** A. \( 0.069 \, \text{m/s}^2 \) B. \( 0.068 \, \text{m/s}^2 \) C. \( 0.063 \, \text{m/s}^2 \) D. \( 0.075 \, \text{m/s}^2 \) E. \( 0.072 \, \text{m/s}^2 \) This problem involves using the relationship between angular motion and linear motion to calculate acceleration. Specifically, understanding the conversion between angular acceleration and linear acceleration is key to finding the correct answer when \( P \) is at the y-axis.
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