A = 9.7 HzB = 2.83 x 10^-4 W/m^2C = 2.71 W/m^2 Find D D = ? **Physics Problem on Sound Waves and Intensity****Problem Statement:**Adriana is walking to the east at 3.00 m/s with a friend who is also walking east at 3.00 m/s, keeping a constant distance of 2.00 m from Adriana. The friend is talking, emitting a sound wave with power 34.0 mW. They are approached from behind by a bicyclist moving at 7.00 m/s east, ringing the bicycle’s bell which emits with frequency 910 Hz and power 0.089 W. Air temperature is 17.0°C. At the instant when the bicyclist is 10.0 m behind Adriana, find:a) The frequency Adriana hears for the bicycle bell: _______________________________b) The intensity Adriana hears for the bicycle bell: _______________________________c) The intensity Adriana hears from her friend: _______________________________d) The total sound level Adriana hears: _______________________________**Instructions for Students:**To solve this problem, students should utilize knowledge of the Doppler effect for sound waves and sound intensity equations. Students may also need to consider the effect of air temperature on the speed of sound. Here's a step-by-step guide to aid in solving:1. **Doppler Effect Calculation**: - Calculate the apparent frequency of the bicycle bell sound as heard by Adriana using the Doppler effect formula. 2. **Intensity Calculation**: - Use the inverse square law for intensity to determine how the intensities decrease over distance.3. **Combining Sound Intensities**: - When multiple sound sources are involved, calculate the resultant intensity level accurately.4. **Temperature Effect**: - Consider any necessary adjustments for sound speed due to temperature.Make use of the relevant equations:- Doppler Effect: \( f' = f \left( \frac{v \pm v_o}{v \pm v_s} \right) \)- Intensity: \( I = \frac{P}{4 \pi r^2} \)- Speed of Sound in Air: \( v \approx 331.4 + 0.6T \) (where \( T \) is in degrees Celsius)

Answered: Find D D = ?

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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Question

A = 9.7 Hz

B = 2.83 x 10^-4 W/m^2

C = 2.71 W/m^2

Find D

D = ?

**Physics Problem on Sound Waves and Intensity**

**Problem Statement:**
Adriana is walking to the east at 3.00 m/s with a friend who is also walking east at 3.00 m/s, keeping a constant distance of 2.00 m from Adriana. The friend is talking, emitting a sound wave with power 34.0 mW. They are approached from behind by a bicyclist moving at 7.00 m/s east, ringing the bicycle’s bell which emits with frequency 910 Hz and power 0.089 W. Air temperature is 17.0°C. At the instant when the bicyclist is 10.0 m behind Adriana, find:

a) The frequency Adriana hears for the bicycle bell: _______________________________

b) The intensity Adriana hears for the bicycle bell: _______________________________

c) The intensity Adriana hears from her friend: _______________________________

d) The total sound level Adriana hears: _______________________________

**Instructions for Students:**
To solve this problem, students should utilize knowledge of the Doppler effect for sound waves and sound intensity equations. Students may also need to consider the effect of air temperature on the speed of sound. Here's a step-by-step guide to aid in solving:

1. **Doppler Effect Calculation**:
- Calculate the apparent frequency of the bicycle bell sound as heard by Adriana using the Doppler effect formula.

2. **Intensity Calculation**:
- Use the inverse square law for intensity to determine how the intensities decrease over distance.

3. **Combining Sound Intensities**:
- When multiple sound sources are involved, calculate the resultant intensity level accurately.

4. **Temperature Effect**:
- Consider any necessary adjustments for sound speed due to temperature.

Make use of the relevant equations:
- Doppler Effect: \( f' = f \left( \frac{v \pm v_o}{v \pm v_s} \right) \)
- Intensity: \( I = \frac{P}{4 \pi r^2} \)
- Speed of Sound in Air: \( v \approx 331.4 + 0.6T \) (where \( T \) is in degrees Celsius)

Expert Solution

Step 1

Given information:

Here, v_A is the Adriana’s walking speed, r_f is the distance between the Adriana and her friend, P_f is the power of the sound emitted by Adriana’s friend, v_b is the speed of the bicyclist, f is the frequency emitted by the bicycle’s ring, P_b is the power output of the ring and r_b is the distance between the bicyclist and the Adriana at some particular moment.

Step 2

Write the formula of the intensity (I_b) and plug the knowns to determine the intensity that Adriana hears due to the bicycle ring.

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