### Problem Statement1. The wheel starts rotating from rest. 4. If its angular velocity \( \omega \) as a function of angular position \( \theta \) is given by \( \omega = 0.1 \cdot \theta^2 \), where \( \theta \) is in radians, and its radius \( r \) is 0.1 m, determine the magnitude of the normal linear acceleration (in \( \text{m/s}^2 \)) of point \( P \) after the wheel has turned 1.2 revolution(s) from rest. Please pay attention: **the numbers may change since they are randomized.** Your answer must include 2 places after the decimal point.### Diagram ExplanationThe diagram depicts a wheel with:- An arrow \( \omega \) showing the direction of angular velocity.- A radius \( r \) labeled from the center to the edge.- A point \( P \) on the circumference of the wheel.### Input Section- **Your Answer:** [Text box for input]- **Answer:** [Placeholder for displaying solution] **Problem Statement:**1. The wheel starts rotating from rest.3) If its angular velocity \( \omega \) as a function of angular position \( \theta \) is \( \omega = 0.2 \cdot \theta^2 \), where \( \theta \) is in radians, and its radius \( r \) is 0.2 m, what is the magnitude of the tangential linear acceleration (in m/s^2) of point \( P \) after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: *the numbers may change* since they are randomized. Your answer must include 2 places after the decimal point.**Diagram Explanation:**- The diagram shows a circular wheel with point \( P \) on the edge. - \( \omega \) indicates the angular velocity in the direction of rotation of the wheel.- The radius \( r \) is marked from the center of the wheel to point \( P \).**Input Section:**- **Your Answer:** [Insert your answer here.]**Answer Box:**- [Answer input field]

3) if its angular velocity was a function of angular position is w=0.2-02, where is in radian, and its radius ris 0.2 m, what is the magnitude of the tangential linear acceleration (in m/s²) of point P after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. P

3) if its angular velocity was a function of angular position is w=0.2-02, where is in radian, and its radius ris 0.2 m, what is the magnitude of the tangential linear acceleration (in m/s²) of point P after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. P

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

### Problem Statement

1. The wheel starts rotating from rest.

4. If its angular velocity \( \omega \) as a function of angular position \( \theta \) is given by \( \omega = 0.1 \cdot \theta^2 \), where \( \theta \) is in radians, and its radius \( r \) is 0.1 m, determine the magnitude of the normal linear acceleration (in \( \text{m/s}^2 \)) of point \( P \) after the wheel has turned 1.2 revolution(s) from rest.

Please pay attention: **the numbers may change since they are randomized.** Your answer must include 2 places after the decimal point.

### Diagram Explanation

The diagram depicts a wheel with:

- An arrow \( \omega \) showing the direction of angular velocity.
- A radius \( r \) labeled from the center to the edge.
- A point \( P \) on the circumference of the wheel.

### Input Section

- **Your Answer:** [Text box for input]

- **Answer:** [Placeholder for displaying solution]

**Problem Statement:**

1. The wheel starts rotating from rest.

3) If its angular velocity \( \omega \) as a function of angular position \( \theta \) is \( \omega = 0.2 \cdot \theta^2 \), where \( \theta \) is in radians, and its radius \( r \) is 0.2 m, what is the magnitude of the tangential linear acceleration (in m/s^2) of point \( P \) after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: *the numbers may change* since they are randomized. Your answer must include 2 places after the decimal point.

**Diagram Explanation:**

- The diagram shows a circular wheel with point \( P \) on the edge.
- \( \omega \) indicates the angular velocity in the direction of rotation of the wheel.
- The radius \( r \) is marked from the center of the wheel to point \( P \).

**Input Section:**

- **Your Answer:** [Insert your answer here.]

**Answer Box:**

- [Answer input field]

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