Question
As a train pulls out of the station going 45 m/s it blasts its horn, what is the frequency heard by the train if the passengers still at the station are hearing 373 Hz?
Answers
GPT 3.5
To determine the frequency heard by the train, we can use the formula for the Doppler effect:
f' = f(ct + v) / (ct + vs)
Where:
f' is the frequency heard by the train
f is the frequency heard by the stationary observers (passengers at the station)
c is the speed of sound in air (assumed to be 343 m/s)
t is the time (which doesn't affect the frequency)
v is the velocity of the train (45 m/s)
s is the speed of sound in air (343 m/s)
Plugging in the values, we have:
f' = 373(343 + 45) / (343 - 45)
f' = 373(388) / (298)
f' ≈ 486.94 Hz
Therefore, the frequency heard by the train is approximately 486.94 Hz.
f' = f(ct + v) / (ct + vs)
Where:
f' is the frequency heard by the train
f is the frequency heard by the stationary observers (passengers at the station)
c is the speed of sound in air (assumed to be 343 m/s)
t is the time (which doesn't affect the frequency)
v is the velocity of the train (45 m/s)
s is the speed of sound in air (343 m/s)
Plugging in the values, we have:
f' = 373(343 + 45) / (343 - 45)
f' = 373(388) / (298)
f' ≈ 486.94 Hz
Therefore, the frequency heard by the train is approximately 486.94 Hz.