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Why the Highest Piano Notes Have Short Strings.

(See attached file for full problem description with proper symbols)

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Why the Highest Piano Notes Have Short Strings
The steel used for piano wire has a breaking (tensile) strength of about and a density of .

Part A
What is the speed of a wave traveling down such a wire if the wire is stretched to its breaking point?
Express the speed of the wave numerically, in meters per second, to the nearest integer.
=______________ m/s

Part B
Imagine that the wire described in the problem introduction is used for the highest C on a piano ( ). If the wire is in tune when stretched to its breaking point, what must the vibrating length of the wire be?
Express the length numerically, in centimeters, using three significant figures.
= ____________ cm.

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Solution Summary

The solution discusses why the highest piano notes have short strings.

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