# On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5 Pa and a period T = .03 sec.?

On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5 Pa and a period T = .03 sec.

What is the frequency of this wave?

Now plot the same wave on a pressure vs. distance graph. Assume that c = 344 m/s.

If the speed of sound were higher, what effect would it have on wavelength? How about period?

Make an image file of your paperwork using either a scanner or a digital camera. You can use a phone camera with a resolution of at least 2 megapixels. Attach the image file(s) to your assignment post.

Relevance
• a) y = 5*sin(2π*t/0.3)

is graphed here:

https://www.wolframalpha.com/input/?i=plot+y%3D5si...

b) frequency f = 1/T = 33 Hz

c) x = v*t = 344t

wavelength L = v / f = 344 / 33 = 10.3 m

y = 5*sin(2πx/wavelength) = 5*sin(2πx/10.3) = 5*sin(0.609x)

is graphed here:

https://www.wolframalpha.com/input/?i=plot+y%3D5si...

The problem states you must draw these graphs on graph paper and submit digital images of your work.

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• What is the frequency of this wave?

f = 1/T = 100/3 =  33 1/3Hz

Now plot the same wave on a pressure vs. distance graph. Assume that c = 344 m/s: Distance = 344*t so each complete cycle has length 10.32 meters

If the speed of sound were higher, what effect would it have on wavelength? -----> λ = v/f so λ would be longer

How about the period T? -----> T = 1/f = λ/v so T would be fewer seconds

.

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• Anonymous
1 month ago
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