The Math of Music
1.Sound Problem
Sound waves travel on a guitar's string after the string is plucked. The length
of the string between its two fixed ends is 0.628 meter, and the string’s mass is
0.208 gram. The string is under a tension of 226 Newtons. Find the velocity (v) of the
wave on the string.
Solution: The tension F, the mass m, and the
length L are known. Use the formula
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to solve the problem.
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2. New Velocity
The same guitar string is depressed by the musician, making
the new length .5 m. Find the new velocity using the same formula as above.
Note: For information about how to play a saw, do
a search for "musical saw" on the Internet. One interesting site is www.edcen.ehhs.cmich.edu/~dhavlena/saw.htm.
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Last Updated: 02/16/03
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