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During a Hurricane, a 1200 Hz warning siren in the town hall sounds the wind is blowing at 55 m/s in a direction from the siren towards a person 1 km away. With what frequency does the sound wave reach the person. The speed of sound in air in 330 m/s. Write in Rounded Figure.
Correct answer is '1029'. Can you explain this answer?
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During a Hurricane, a 1200 Hz warning siren in the town hall sounds th...
f' = Observed Frequency
Fo = Original frequency.
Apply doppler effect.
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During a Hurricane, a 1200 Hz warning siren in the town hall sounds th...
Given data:
- Frequency of the warning siren: 1200 Hz
- Wind speed: 55 m/s
- Distance between the town hall and the person: 1 km
- Speed of sound in air: 330 m/s
Frequency shift:
The frequency of a sound wave can be affected by the motion of the source or the observer relative to the medium through which the sound is traveling. This phenomenon is known as the Doppler effect.
In this scenario, the wind is blowing from the siren towards the person. As a result, the sound waves emitted by the siren are compressed in the direction of the wind and stretched in the opposite direction. This compression and stretching of the sound waves cause a change in the frequency observed by the person.
Approach:
To find the frequency of the sound wave reaching the person, we need to consider the Doppler effect. The formula for the observed frequency is given by:
f' = f * (v + v₀) / (v + vs)
Where:
- f' is the observed frequency
- f is the actual frequency of the sound wave
- v is the speed of sound in air
- v₀ is the speed of the observer (in this case, the person)
- vs is the speed of the source (in this case, the wind)
Solution:
1. Convert the wind speed from km/h to m/s: 55 m/s
2. Convert the distance from km to m: 1 km = 1000 m
3. Calculate the speed of the observer:
v₀ = 0 m/s (since the person is stationary)
4. Substitute the values into the formula:
f' = 1200 Hz * (330 m/s + 0 m/s) / (330 m/s + 55 m/s)
f' = 1200 Hz * 330 m/s / 385 m/s
f' ≈ 1029 Hz
Conclusion:
The frequency of the sound wave reaching the person is approximately 1029 Hz. However, the correct answer provided is 1200 Hz. It is possible that there was a mistake in the calculations or that there is additional information or context missing from the given question.
- Frequency of the warning siren: 1200 Hz
- Wind speed: 55 m/s
- Distance between the town hall and the person: 1 km
- Speed of sound in air: 330 m/s
Frequency shift:
The frequency of a sound wave can be affected by the motion of the source or the observer relative to the medium through which the sound is traveling. This phenomenon is known as the Doppler effect.
In this scenario, the wind is blowing from the siren towards the person. As a result, the sound waves emitted by the siren are compressed in the direction of the wind and stretched in the opposite direction. This compression and stretching of the sound waves cause a change in the frequency observed by the person.
Approach:
To find the frequency of the sound wave reaching the person, we need to consider the Doppler effect. The formula for the observed frequency is given by:
f' = f * (v + v₀) / (v + vs)
Where:
- f' is the observed frequency
- f is the actual frequency of the sound wave
- v is the speed of sound in air
- v₀ is the speed of the observer (in this case, the person)
- vs is the speed of the source (in this case, the wind)
Solution:
1. Convert the wind speed from km/h to m/s: 55 m/s
2. Convert the distance from km to m: 1 km = 1000 m
3. Calculate the speed of the observer:
v₀ = 0 m/s (since the person is stationary)
4. Substitute the values into the formula:
f' = 1200 Hz * (330 m/s + 0 m/s) / (330 m/s + 55 m/s)
f' = 1200 Hz * 330 m/s / 385 m/s
f' ≈ 1029 Hz
Conclusion:
The frequency of the sound wave reaching the person is approximately 1029 Hz. However, the correct answer provided is 1200 Hz. It is possible that there was a mistake in the calculations or that there is additional information or context missing from the given question.
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During a Hurricane, a 1200 Hz warning siren in the town hall sounds the wind isblowing at 55 m/s in a direction from the siren towards a person 1 km away. Withwhat frequency does the sound wave reach the person. The speed of sound in air in 330 m/s. Write in Rounded Figure.Correct answer is '1029'. Can you explain this answer?
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During a Hurricane, a 1200 Hz warning siren in the town hall sounds the wind isblowing at 55 m/s in a direction from the siren towards a person 1 km away. Withwhat frequency does the sound wave reach the person. The speed of sound in air in 330 m/s. Write in Rounded Figure.Correct answer is '1029'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about During a Hurricane, a 1200 Hz warning siren in the town hall sounds the wind isblowing at 55 m/s in a direction from the siren towards a person 1 km away. Withwhat frequency does the sound wave reach the person. The speed of sound in air in 330 m/s. Write in Rounded Figure.Correct answer is '1029'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for During a Hurricane, a 1200 Hz warning siren in the town hall sounds the wind isblowing at 55 m/s in a direction from the siren towards a person 1 km away. Withwhat frequency does the sound wave reach the person. The speed of sound in air in 330 m/s. Write in Rounded Figure.Correct answer is '1029'. Can you explain this answer?.
During a Hurricane, a 1200 Hz warning siren in the town hall sounds the wind isblowing at 55 m/s in a direction from the siren towards a person 1 km away. Withwhat frequency does the sound wave reach the person. The speed of sound in air in 330 m/s. Write in Rounded Figure.Correct answer is '1029'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about During a Hurricane, a 1200 Hz warning siren in the town hall sounds the wind isblowing at 55 m/s in a direction from the siren towards a person 1 km away. Withwhat frequency does the sound wave reach the person. The speed of sound in air in 330 m/s. Write in Rounded Figure.Correct answer is '1029'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for During a Hurricane, a 1200 Hz warning siren in the town hall sounds the wind isblowing at 55 m/s in a direction from the siren towards a person 1 km away. Withwhat frequency does the sound wave reach the person. The speed of sound in air in 330 m/s. Write in Rounded Figure.Correct answer is '1029'. Can you explain this answer?.
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