An open organ pipe emits G (392 Hz ) when the temperature is 14 C . The speed of

Question

An open organ pipe emits G (392 Hz ) when the temperature is 14 C.

The speed of sound in air is v (331+0.60T) m/s, where T is the temperature in C.

Part A

Determine the length of the pipe.

Express your answer to three significant figures and include the appropriate units.

L = (???) (Units)

Part B

What is the wavelength of the fundamental standing wave in the pipe?

Express your answer to three significant figures and include the appropriate units.

pipe = (???) (Units)

Part C

What is frequency of the fundamental standing wave in the pipe?

Express your answer to three significant figures and include the appropriate units.

fpipe = (???) (Units)

Part D

What is the frequency in the traveling sound wave produced in the outside air?

Express your answer to three significant figures and include the appropriate units.

fair = (???) (Units)

Part E

What is the wavelength in the traveling sound wave produced in the outside air?

Express your answer to three significant figures and include the appropriate units.

air = (???) (Units)

Explanation / Answer

c= 331 + 0.6(14) = 339.4 m/s at 14C

(a) open pipe resonates when length is 1/2 wave length
c=?f L=?/2=c/(2f)
= 339.4 m/s /2*392 Hz = .433 m

c) f=vn/2L = 339.4*1/(2*0..433)= 391.91[Hz]

b) ?=v/f = 339.4/392=0.69149= 0.866[m]

d & e ) same as for standing wave in pipe

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