P ax² 3. Consider sound waves travelling through a room, these are moving with a wave equation of the form: By y P. BRY

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P ax² 3. Consider sound waves travelling through a room, these are moving with a wave equation of the form: By y P. BRY

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P Ax 3 Consider Sound Waves Travelling Through A Room These Are Moving With A Wave Equation Of The Form By Y P Bry 1
P Ax 3 Consider Sound Waves Travelling Through A Room These Are Moving With A Wave Equation Of The Form By Y P Bry 1 (46.46 KiB) Viewed 17 times
P ax² 3. Consider sound waves travelling through a room, these are moving with a wave equation of the form: By y P. BRY ata where y(x, t) is a wave of air molecules displacement, P, is the equilibrium air pressure, y is the heat capacity ratio, c is the wave velocity and p is the air density. The air pressure P of the waves is related through: მ ax where Pis the air pressure. Consider a loud speaker, which we can approximate to a circle with radius 10cm. The speaker emits sounds at a constant velocity, а with a frequency of 50 Hz and the peak amplitude of the pressure waves is 0.1% of the equilibrium pressure. 7 For diatomic gases y = calm air at sea level has a pressure of ~ 105 kg m s 2 and has a density of 1.3 kg m-3 1 -P YP (a) Find the total energy transmitted along by one wave, giving answers to 3 s.f.. (b) Find the time-averaged power supplied to the wave by the loud speaker, giving answers to 3 s.f..
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