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A pipe open at both ends has a fundamental frequency of 320 Hz when the temperature is 0°C. (a) What is the length of the pipe? m (b) What is the fundamental frequency at a temperature of 30°C? Hz
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Speed of sound = 343 at 20°C Each degree lower makes it 0.6m/s slower. So, 343 - 20*(0.6) = 331

a) L = wavelength / 2
wavelength = wave velocity of sound wave / fundamental frequency
so: L = (331 / 320) / 2 = 0.5171875 ==> Answer

b) L = (343 + 10*(0.6) )/ x / 2
so: 349 / (L * 2 ) = 337.40 ==>Answer
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