experiments regarding the speed of sound in a container full Pat has been of a m

Question

experiments regarding the speed of sound in a container full Pat has been of a mixture of gasses. The length of the long, cylindrical container is 1.50 m. Answer the thvee questions below with three significant figures. Part A During a time-of-flight experiment, Pat deterrnines that it takes a pulse of sound 0.0052 s to travel the full length of the cylinder. What is the speed of sound in the cylinder? Number m/s Part B Suppose that Pat sends a sound with a frequency of 4.00x102 Hz down the the wavelength of that sound? Number Part C For Pat's last experiment, it is necessary to create a standing wave with three antinodes. (Note: the container is closed at both ends.) What frequency of should Pat use to create such a standing wave? Number

Explanation / Answer

A)

Velocity, v = L/ delta T = 1.5/0.0052 = 288.46 m/s

B)

Wavelength, lambda = v/f = 288.46/400 = 0.72 m

C)

3(lambda/2) = L

Lambda = 2L/3 = (2 x 1.5)/3 = 1 m

Frequency, F = v/lambda = 288.46/1 = 288.46 Hz

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