Question
You are driving down the road heading north at 15 m/s. An ambulance is driving in the opposite direction (south) towards you at 25 m/s. If the ambulance's siren emits sound at a frequency of 2 kHz, what frequency do you hear? Assume that the speed of sound is 340 m/s.
Answers
GPT 3.5
To calculate the frequency of the sound you hear, we can use the formula for the Doppler effect:
f' = f * (v + vo) / (v + vs)
where:
f' = frequency heard by the observer
f = frequency emitted by the source
v = speed of sound
vo = speed of the observer
vs = speed of the source
Plugging in the values we know:
f = 2 kHz = 2000 Hz
v = 340 m/s
vo = 15 m/s (you)
vs = 25 m/s (ambulance)
f' = 2000 * (340 + 15) / (340 - 25)
f' = 2000 * 355 / 315
f' = 2000 * 1.1269
f' = 2253.8 Hz
Therefore, you will hear a frequency of 2253.8 Hz.
f' = f * (v + vo) / (v + vs)
where:
f' = frequency heard by the observer
f = frequency emitted by the source
v = speed of sound
vo = speed of the observer
vs = speed of the source
Plugging in the values we know:
f = 2 kHz = 2000 Hz
v = 340 m/s
vo = 15 m/s (you)
vs = 25 m/s (ambulance)
f' = 2000 * (340 + 15) / (340 - 25)
f' = 2000 * 355 / 315
f' = 2000 * 1.1269
f' = 2253.8 Hz
Therefore, you will hear a frequency of 2253.8 Hz.
Related Questions
Two trucks leave the truck stop at the same time, one heading north and one heading south. The truck...
A student is writing a report about self-driving cars. Under which heading does the following detail...
Use the sentence to answer the question.
Self driving cars can help reduce traffic.
Which head...
Use the sentence to answer the question.
Self driving cars can help reduce traffic.
Which heading...