A car tire is 55.0 cm in diameter. The car is traveling at a speed of 24.0 m/s. Part A What is the tire's rotation frequency, in rpm? Express your answer to three significant figures and include the approp [5] ΑΣΦ 706 Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Part B 48.0 B ? What is the speed of a point at the top edge of the tire? Express your answer to three significant figures and include the appropria m S Submit Previous Answers rpm

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### Tire Rotation and Speed Calculation

**Problem Overview:**

A car tire has a diameter of 55.0 cm. The car is traveling at a speed of 24.0 m/s.

---

**Part A: Tire's Rotation Frequency**

**Question:**
What is the tire's rotation frequency in rpm (revolutions per minute)?

**Explanation:**
1. **Formula to Use:** 
   \[
   \text{Rotation frequency (rpm)} = \left( \frac{\text{linear speed (m/s)}}{\text{circumference of the tire (m)}} \right) \times 60
   \]

2. **Circumference Calculation:**
   Given diameter = 55.0 cm = 0.55 m;
   \[
   \text{Circumference} = \pi \times 0.55
   \]

3. **Substitute the Values:**
   - Linear speed = 24.0 m/s
   - Calculate and substitute to find the rotation frequency.

4. **User Response:**
   - The user attempted an answer: 706 rpm.
   - Feedback: Incorrect; the user has three attempts remaining.

---

**Part B: Speed at the Top Edge of the Tire**

**Question:**
What is the speed of a point at the top edge of the tire?

**Explanation:**
1. **Concept:**
   - The top edge of a rotating tire moves at the speed of the car plus the speed of the tire's rotation (relative to the ground).
   - Speed at the top = 2 x car speed

2. **Calculation:**
   - Given car speed = 24.0 m/s
   - Speed at the top = 48.0 m/s

3. **User Response:**
   - The user entered: 48.0 m/s.
   - Feedback: Correct.

--- 

This exercise requires understanding the relationship between linear speed, rotational speed, and how they relate to tire mechanics in physics.
Transcribed Image Text:### Tire Rotation and Speed Calculation **Problem Overview:** A car tire has a diameter of 55.0 cm. The car is traveling at a speed of 24.0 m/s. --- **Part A: Tire's Rotation Frequency** **Question:** What is the tire's rotation frequency in rpm (revolutions per minute)? **Explanation:** 1. **Formula to Use:** \[ \text{Rotation frequency (rpm)} = \left( \frac{\text{linear speed (m/s)}}{\text{circumference of the tire (m)}} \right) \times 60 \] 2. **Circumference Calculation:** Given diameter = 55.0 cm = 0.55 m; \[ \text{Circumference} = \pi \times 0.55 \] 3. **Substitute the Values:** - Linear speed = 24.0 m/s - Calculate and substitute to find the rotation frequency. 4. **User Response:** - The user attempted an answer: 706 rpm. - Feedback: Incorrect; the user has three attempts remaining. --- **Part B: Speed at the Top Edge of the Tire** **Question:** What is the speed of a point at the top edge of the tire? **Explanation:** 1. **Concept:** - The top edge of a rotating tire moves at the speed of the car plus the speed of the tire's rotation (relative to the ground). - Speed at the top = 2 x car speed 2. **Calculation:** - Given car speed = 24.0 m/s - Speed at the top = 48.0 m/s 3. **User Response:** - The user entered: 48.0 m/s. - Feedback: Correct. --- This exercise requires understanding the relationship between linear speed, rotational speed, and how they relate to tire mechanics in physics.
## Problem Statement

**Part C**

What is the speed of a point at the bottom edge of the tire?

Express your answer as an integer and include the appropriate units.

### Answer Submission

- Input fields for:
  - **Value**
  - **Units**

#### Options Available:

- Submit your answer
- Request Answer

### Additional Resources:

- [Provide Feedback]
- [Terms of Use](#)
- [Privacy Policy](#)
- [Permissions](#)

---

**Copyright © 2022 Pearson Education Inc. All rights reserved.**
Transcribed Image Text:## Problem Statement **Part C** What is the speed of a point at the bottom edge of the tire? Express your answer as an integer and include the appropriate units. ### Answer Submission - Input fields for: - **Value** - **Units** #### Options Available: - Submit your answer - Request Answer ### Additional Resources: - [Provide Feedback] - [Terms of Use](#) - [Privacy Policy](#) - [Permissions](#) --- **Copyright © 2022 Pearson Education Inc. All rights reserved.**
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