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Lenght and Frequency of a String

One type of steel has a density of 8000 kg/m^3 and a breaking stress of 7.1×108 N/m^2. A cylindrical guitar string is to be made out of a quantity of steel with a mass of 4.50 g.

a). What is the length of the longest and thinnest string that can be placed under a tension of 890 N without breaking?

b). What is the highest fundamental frequency that this string could have?

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Solution Preview

a) (4.50g)*(1kg/1000g)*(7.1x10^8 N/m^2)/(8000kg/m^3)*(890 N) = 0.449 m = 449 ...

Solution Summary

Lenght and frequency of a cylindrical guitar string is determined in the solution.