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The speed of sound in air varies, and depends on temperature and pressure. A flu

ID: 1497792 • Letter: T

Question

The speed of sound in air varies, and depends on temperature and pressure. A flute player in the Aggie marching band uses a tuning fork that vibrates at a particular constant frequency. (The tuning fork will always vibrate at that frequency.) The graphs to the left depict the tuning fork's sound wave (pressure wave) in air as a function of time (at x=0m) and space (when t=0s) as observed by the flautist one day in Davis. Calculate the speed of sound the flautist observes using the graphs. The flautist later takes a trip to Denver. Colorado, where the air pressure and temperature is such that sound travels 10% slower than in Davis. Draw a pressure vs. time and a pressure vs. position graph on the following axes for the sound waves from the tuning fork in Denver. Assume the amplitude remains the constant. Describe what the flautist would observe if (s) he were to take the tuning fork into space

Explanation / Answer

speed of sound = lambda * f

lambda = 0.175 m

T = 5 * 10 ^-4 s

So v = 0.175/ 5 *10^-4 = 350m/s

Now as sound waves travel 10% slower.

T doesnot change because T depends on source i.e producer. So f doesnot change.

P changes. i.e pressure amplitude drops by 10 percent.

as v reduced by 10 % lambda also reduces by 10 perent. Wavelength shortens.

(c) There is no air in space. pressure is zero. So no wave.

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