Please show all equations used, all steps and work. Please show all equations us

Question

Please show all equations used, all steps and work.

Please show all equations used, all steps and work.

Two speakers, 15 m apart, are facing each other producing identical 229 Hz sounds. You walk away from one speaker, towards the other, and you hear what sounds like beats at a frequency of 2.5 Hz. (a) How fast are you walking? (b) If the frequency of the sound emitted is increases to 573 Hz and you continue to walk at the same speed, what frequency of beats will you hear? You can answer part (a) with either a standing wave model or as Doppler shift effect, (c) Answer part (a) using the method you did not use.

Explanation / Answer

(a) fbeat= f(v+vr)/v-f(v-vr)/v , (As v=340m/s)
2.5= 229(340+vr)/340-229(340-vr)/340
850= 229vr+229vr
458vr= 850
vr= 1.856[m/s]

(b)
fb= 573(340+1.856)/340-573(340-1.856)/340
340fb= 573*1.856*2= 2126.976
fb= 6.26[Hz]

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