Two identical tuning forks A and B oscillate at 440 Hz. A person is located on a line in between the two forks. Her distance from fork A is 50 m and from fork B is 10 m. She walks toward fork A at 30 m/s. The speed of sound is 330 m/s. (Hint: What frequency does she hear from A? From B? Keep 5 significant figures when you do the calculation)
Two identical tuning forks A and B oscillate at 440 Hz. A person is located on a line in between the two forks. Her distance from fork A is 50 m and from fork B is 10 m. She walks toward fork A at 30 m/s. The speed of sound is 330 m/s. (Hint: What frequency does she hear from A? From B? Keep 5 significant figures when you do the calculation)
College Physics
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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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what is frequency?
![### Part A
**Problem Statement:**
Two identical tuning forks A and B oscillate at 440 Hz. A person is located on a line in between the two forks. Her distance from fork A is 50 m and from fork B is 10 m. She walks toward fork A at 30 m/s. The speed of sound is 330 m/s.
*(Hint: What frequency does she hear from A? From B? Keep 5 significant figures when you do the calculation)*
**Multiple-Choice Options:**
- O \( 484.00 \text{ Hz} \)
- O \( 440.00 \text{ Hz} \)
- O \( 80.67 \text{ Hz} \)
- O \( 80.00 \text{ Hz} \)
- O \( 480.00 \text{ Hz} \)
**Explanation:**
This problem can be approached by using the Doppler Effect equation. The formula to calculate the perceived frequency when the source is stationary, and the observer is moving is given by:
\[ f' = f \left( \frac{v + v_o}{v} \right) \]
Where:
- \( f' \) is the perceived frequency.
- \( f \) is the original frequency (440 Hz).
- \( v \) is the speed of sound (330 m/s).
- \( v_o \) is the velocity of the observer (+30 m/s toward fork A).
Apply the formula separately for fork A and fork B to determine the frequencies heard by the observer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91195c14-8c67-42a0-b9d0-a3e8c2a59df0%2F30a4d478-dc91-4cfc-8b8b-28d33cfce213%2F7r4va7c.png&w=3840&q=75)
Transcribed Image Text:### Part A
**Problem Statement:**
Two identical tuning forks A and B oscillate at 440 Hz. A person is located on a line in between the two forks. Her distance from fork A is 50 m and from fork B is 10 m. She walks toward fork A at 30 m/s. The speed of sound is 330 m/s.
*(Hint: What frequency does she hear from A? From B? Keep 5 significant figures when you do the calculation)*
**Multiple-Choice Options:**
- O \( 484.00 \text{ Hz} \)
- O \( 440.00 \text{ Hz} \)
- O \( 80.67 \text{ Hz} \)
- O \( 80.00 \text{ Hz} \)
- O \( 480.00 \text{ Hz} \)
**Explanation:**
This problem can be approached by using the Doppler Effect equation. The formula to calculate the perceived frequency when the source is stationary, and the observer is moving is given by:
\[ f' = f \left( \frac{v + v_o}{v} \right) \]
Where:
- \( f' \) is the perceived frequency.
- \( f \) is the original frequency (440 Hz).
- \( v \) is the speed of sound (330 m/s).
- \( v_o \) is the velocity of the observer (+30 m/s toward fork A).
Apply the formula separately for fork A and fork B to determine the frequencies heard by the observer.
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