1) Bubba has a tuning fork with a frequency of 230. Hz. Assuming the speed of so

Question

1) Bubba has a tuning fork with a frequency of 230. Hz. Assuming the speed of sound in his lab is 330. m/s, and his resonance tube has a diameter of 3.40 cm, what length tube is required to find the resonant point of his fork?

3) Bubba is designing a motorcycle. His muffler acts like a closed pipe with length 0.9500 meters and a diameter of 4.500 cm.

Calculate the speed of sound at the motorcycle's operating temperature of 350.0 °C.
Yes, you need to use the formula used in your spreadsheet.

4) At what frequency would you expect the muffler to resonate?

5) We want to measure the speed of sound without having water vapor as a possible source of error. Which of the following scenarios would work?
Place dessicant in the tube.
Use mercury instead of water, since mercury has a very low vapor pressure.
Instead of water, insert the tube into fine sand or powder.
Perform the experiment in a vacuum.
Use a fixed length tube with dry air or nitrogen, and a tunable speaker instead of the tuning fork.

6) Helga wants to measure the speed of sound in a similar experiment. However, she wants to show off and use an open-ended pipe instead of a pipe closed at one end. Which of the following approaches might be appropriate?
Use two pipes that fit closely together, so the overall length of the pipe can be changed.
Use a fixed length pipe, and use a sound generator that can produce various frequencies.
Use a fixed length pipe, and move the tuning fork around until it resonates.
Produce several tubes of varying lengths, and find the tube that resonates.
Insert the tuning fork into the open tube, forcing the tube to resonate.

7) In your experiment, how does the amplitude of the tuning fork vibration affect the results?
Makes the speed of sound come out low.
Sounds louder or softer, but does not change the calculations.
Has no effect.
Makes the wavelength too low, resulting in a calculated speed too high.
Makes the resonant position too low, resulting in a calculated speed too high.

Explanation / Answer

1)   length tube is required =   330/(2 * 230)

                                           = 0.717 m

3)   speed of sound   =   180 * 2 * 0.9500

                                = 342 m/sec

4)    frequency would you expect the muffler to resonate =   342/(2 * 0.95)

                                                                                         =   180 Hz

5)  Use a fixed length tube with dry air or nitrogen, and a tunable speaker instead of the tuning fork.

6)    Use a fixed length pipe, and move the tuning fork around until it resonates.

7)   Sounds louder or softer, but does not change the calculations.

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