DE-3 A train is traveling south at 50.0m/s and is blowing its 15,000Hz whistle continuously as it approaches the intersection of the track and the road. A car is traveling west at 30.0m/s on the road toward the intersection as shown in the figure. a) Find the wavelength of the sound waves traveling south from the train. b) Find the wavelength of the sound waves traveling north from the train. c) The sound waves emitted by the train in the position shown arrive at the car when the car is in the position shown. Find the frequency heard by the car driver in the position shown. Train 120m V₁-50.0m/s 90.0m W Ve=30.0m/s Z car S {1}
DE-3 A train is traveling south at 50.0m/s and is blowing its 15,000Hz whistle continuously as it approaches the intersection of the track and the road. A car is traveling west at 30.0m/s on the road toward the intersection as shown in the figure. a) Find the wavelength of the sound waves traveling south from the train. b) Find the wavelength of the sound waves traveling north from the train. c) The sound waves emitted by the train in the position shown arrive at the car when the car is in the position shown. Find the frequency heard by the car driver in the position shown. Train 120m V₁-50.0m/s 90.0m W Ve=30.0m/s Z car S {1}
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Transcribed Image Text:**Title: Sound Wave Calculations in Train and Car Scenarios**
**Problem Statement (DE-3):**
A train is traveling south at 50.0 m/s and is continuously blowing its 15,000 Hz whistle as it approaches the intersection of the track and the road. A car is traveling west at 30.0 m/s toward the intersection, as illustrated in the figure.
**Tasks:**
1. **Wavelength of Sound Waves Traveling South:**
Calculate the wavelength of the sound waves moving south from the train.
2. **Wavelength of Sound Waves Traveling North:**
Determine the wavelength of the sound waves moving north from the train.
3. **Frequency Heard by the Car Driver:**
When the sound waves emitted by the train reach the car, which is in the position shown, compute the frequency heard by the car driver.
**Diagram Explanation:**
- The diagram shows the following:
- The train, moving south, is indicated with a velocity vector \( V_t = 50.0 \, \text{m/s} \).
- The car, moving west, is indicated with a velocity vector \( V_c = 30.0 \, \text{m/s} \).
- Distances shown are 120 meters from the train to the intersection and 90 meters from the car to the intersection.
- There is a compass indicating directions: North (N), South (S), East (E), and West (W).
This setup illustrates a classic example involving the Doppler effect, where the frequency of the train's whistle changes as perceived by an observer (the car driver) due to the relative motion between the source (train) and the observer (car).
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