The disk starts at wo = 2 rad/s when 0 = 0, and is given an angular acceleration a (0.30) rad/s², where is in radians. (Figure 1) Figure 0.4 m Р 1 of 1 > ▾ Part A Determine the magnitude of the normal component of acceleration of a point P on the rim of the disk when 0 = 1 rev. Express your answer to three significant figures and include the appropriate units. H an= 20.5 ▾ Part B μA Xb at 1.51 5 X.10⁰ Ⓒ B m Submit Previous Answers Request Answer Provide Feedback s² * Incorrect; Try Again; 5 attempts remaining ⒸE ? Determine the magnitude of the tangential component of acceleration of a point P on the rim of the disk when 0 = 1 rev. Express your answer to three significant figures and include the appropriate units. m X.10 x s² E ? Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining

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
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**Educational Content: Rotational Motion Analysis**

**Introduction:**
This exercise involves calculating the components of acceleration for a point on a rotating disk. The disk initially starts with an angular velocity \(\omega_0 = 2 \, \text{rad/s}\) when \(\theta = 0\), and it experiences an angular acceleration \(\alpha = (0.3\theta) \, \text{rad/s}^2\), where \(\theta\) is in radians.

**Figure Explanation:**
A diagram is provided, showing a disk with a point \(P\) on its rim. The distance from the center of the disk to point \(P\) is 0.4 m.

**Problem Statement:**

**Part A:**
Determine the magnitude of the normal component of acceleration (\(a_n\)) for point \(P\) on the rim of the disk when \(\theta = 1 \, \text{rev}\).

- **Calculation Input:**
  - Attempted answer: \(20.5 \, \text{m/s}^2\)
  - Result: Incorrect
  - Attempts Remaining: 5

**Part B:**
Determine the magnitude of the tangential component of acceleration (\(a_t\)) for point \(P\) on the rim of the disk when \(\theta = 1 \, \text{rev}\).

- **Calculation Input:**
  - Attempted answer: \(1.51 \, \text{m/s}^2\)
  - Result: Incorrect
  - Attempts Remaining: 5

**Instructions:**
Express all answers to three significant figures and include appropriate units. If incorrect, review the calculations considering the given angular acceleration and the conversion of \(\theta\) from revolutions to radians.

**Feedback:**
To improve understanding, re-evaluate the formulas for normal and tangential accelerations in rotational motion:
- Normal acceleration (\(a_n\)) is given by \(a_n = \omega^2 \cdot r\).
- Tangential acceleration (\(a_t\)) is given by \(a_t = \alpha \cdot r\), where \(\omega\) and \(\alpha\) are the angular velocity and angular acceleration, respectively, and \(r\) is the radius.

Revisit each step to ensure correct conversion and application of physics principles.
Transcribed Image Text:**Educational Content: Rotational Motion Analysis** **Introduction:** This exercise involves calculating the components of acceleration for a point on a rotating disk. The disk initially starts with an angular velocity \(\omega_0 = 2 \, \text{rad/s}\) when \(\theta = 0\), and it experiences an angular acceleration \(\alpha = (0.3\theta) \, \text{rad/s}^2\), where \(\theta\) is in radians. **Figure Explanation:** A diagram is provided, showing a disk with a point \(P\) on its rim. The distance from the center of the disk to point \(P\) is 0.4 m. **Problem Statement:** **Part A:** Determine the magnitude of the normal component of acceleration (\(a_n\)) for point \(P\) on the rim of the disk when \(\theta = 1 \, \text{rev}\). - **Calculation Input:** - Attempted answer: \(20.5 \, \text{m/s}^2\) - Result: Incorrect - Attempts Remaining: 5 **Part B:** Determine the magnitude of the tangential component of acceleration (\(a_t\)) for point \(P\) on the rim of the disk when \(\theta = 1 \, \text{rev}\). - **Calculation Input:** - Attempted answer: \(1.51 \, \text{m/s}^2\) - Result: Incorrect - Attempts Remaining: 5 **Instructions:** Express all answers to three significant figures and include appropriate units. If incorrect, review the calculations considering the given angular acceleration and the conversion of \(\theta\) from revolutions to radians. **Feedback:** To improve understanding, re-evaluate the formulas for normal and tangential accelerations in rotational motion: - Normal acceleration (\(a_n\)) is given by \(a_n = \omega^2 \cdot r\). - Tangential acceleration (\(a_t\)) is given by \(a_t = \alpha \cdot r\), where \(\omega\) and \(\alpha\) are the angular velocity and angular acceleration, respectively, and \(r\) is the radius. Revisit each step to ensure correct conversion and application of physics principles.
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