A concert loudspeaker suspended high off the ground emits 29.0 W of sound power. A small microphone with a 1.00 cm² area is 53.0 m from the speaker. What is the sound intensity at the position of the microphone? Express your answer with the appropriate units. ► View Available Hint(s) Value Submit Part B Units ? Units input for part A How much sound energy impinges on the microphone each second? Express your answer with the appropriate units. ► View Available Hint(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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### Problem Statement

A concert loudspeaker suspended high off the ground emits 29.0 W of sound power. A small microphone with a 1.00 cm² area is 53.0 m from the speaker.

#### Part A
**Question:**
What is the sound intensity at the position of the microphone?

**Instructions:**
Express your answer with the appropriate units.

**Hint:**
Use the available hints to help solve the problem.

**Answer Input:**
A text box is provided for the value and units of your answer. Ensure you enter both the value of the sound intensity and its units.

**Submission:**
- Click on the "Submit" button after entering the answer.

#### Part B
**Question:**
How much sound energy impinges on the microphone each second?

**Instructions:**
Express your answer with the appropriate units.

**Hint:**
Use the available hints to assist in solving this part of the problem.

**Answer Input:**
Provide the value and units of the sound energy in the space given.

**Submission:**
- Ensure the answer format includes both the numeric value and the appropriate unit, then click on the "Submit" button.

### Explanation of Concepts and Equations

1. **Sound Intensity Calculation (Part A):**
   - The formula for sound intensity \(I\) at a distance \(r\) from a point source emitting power \(P\) is given by:
     \[
     I = \frac{P}{4 \pi r^2}
     \]
   - Here, \(P = 29.0 \text{ W}\) and \(r = 53.0 \text{ m}\).

2. **Sound Energy Impinging on the Microphone (Part B):**
   - Once the sound intensity \(I\) is found, the energy \(E\) impinging on the microphone per second is determined by:
     \[
     E = I \times A
     \]
   - Where \(A\) is the area of the microphone (1.00 cm² converted to square meters).

### Useful Conversions:
- 1.00 cm² = 0.0001 m² (for use in Part B calculations).

### Example Calculation:
Using the formulas and given data, students can calculate the sound intensity and the sound energy to find the required answers for parts A and B. This practical application reinforces understanding of sound wave propagation and energy transfer concepts
Transcribed Image Text:### Problem Statement A concert loudspeaker suspended high off the ground emits 29.0 W of sound power. A small microphone with a 1.00 cm² area is 53.0 m from the speaker. #### Part A **Question:** What is the sound intensity at the position of the microphone? **Instructions:** Express your answer with the appropriate units. **Hint:** Use the available hints to help solve the problem. **Answer Input:** A text box is provided for the value and units of your answer. Ensure you enter both the value of the sound intensity and its units. **Submission:** - Click on the "Submit" button after entering the answer. #### Part B **Question:** How much sound energy impinges on the microphone each second? **Instructions:** Express your answer with the appropriate units. **Hint:** Use the available hints to assist in solving this part of the problem. **Answer Input:** Provide the value and units of the sound energy in the space given. **Submission:** - Ensure the answer format includes both the numeric value and the appropriate unit, then click on the "Submit" button. ### Explanation of Concepts and Equations 1. **Sound Intensity Calculation (Part A):** - The formula for sound intensity \(I\) at a distance \(r\) from a point source emitting power \(P\) is given by: \[ I = \frac{P}{4 \pi r^2} \] - Here, \(P = 29.0 \text{ W}\) and \(r = 53.0 \text{ m}\). 2. **Sound Energy Impinging on the Microphone (Part B):** - Once the sound intensity \(I\) is found, the energy \(E\) impinging on the microphone per second is determined by: \[ E = I \times A \] - Where \(A\) is the area of the microphone (1.00 cm² converted to square meters). ### Useful Conversions: - 1.00 cm² = 0.0001 m² (for use in Part B calculations). ### Example Calculation: Using the formulas and given data, students can calculate the sound intensity and the sound energy to find the required answers for parts A and B. This practical application reinforces understanding of sound wave propagation and energy transfer concepts
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