# Determine the frequency of sound heard by a stationary listener when a moving siren emits 550Hz and travels away at 50m/s from the listener assuming the air temperature is 20 degree Celsius.

The frequency of sound heard by a stationary listener when a moving siren emits 550Hz can be determined using the Doppler effect. The Doppler Effect is an acoustic phenomenon that occurs when a wave source and observer are in relative motion to each other, resulting in the wave frequency being perceived differently due to the change in distance between them over time.

In order to calculate the frequency of sound heard by a stationary listener, we need to first determine the speed of sound in air for our given conditions (20°C). Using the equation v = 331.4 + 0.6T (where T is temperature in degree Celsius) we can find that the speed of sound at 20°C is 343 m/s . We then take this value and subtract from it 50m/s (the speed of travel of our siren away from its observer ) – leaving us with 293m/s .

### Determine the frequency of sound heard by a stationary listener when a moving siren emits 550Hz and travels away at 50m/s from the listener assuming the air temperature is 20 degree Celsius.

We then use this value along with original one generate differential ratio which allows us solve for new frequency being emitted : f2 = f1 * (v1+v2)/(v2-v1) , where f1 referencing initial 550 Hz & v1 representing 293 m/s respectively . After plugging above numbers into formula found result 542 Hz – so while initially assumed decrease there was actually slight increase meaning someone listening will still able hear siren albeit lower pitch than original expected.

In conclusion then while most people assume sounds become quieter further away point origin this not always true as demonstrated through example provided – instead depending upon respective velocities involved what happens varied making case complete understanding underlying dynamics all too important ensure accurate results obtained .<bUniversity Of Illinois.(2020 ) Physics And Astronomy: The Doppler Effect</b

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