A piano's A-string should have fundamental frequency = 440 Hz. The string is 38.9 cm long and clamped at both ends. But the piano tuner finds that the string is flat, with frequency 436 Hz; so she increases the tension by 12 newtons to get 440 Hz. Find the linear mass density of the string and the tension when the string is correctly tuned.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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It says that these have incompatible units. The number values might be wrong as well. 

A piano's A-string should have fundamental frequency = 440
Hz. The string is 38.9 cm long and clamped at both ends. But
the piano tuner finds that the string is flat, with frequency
436 Hz; so she increases the tension by 12 newtons to get 440
Hz. Find the linear mass density of the string and the tension
when the string is correctly tuned.
is 38.72 cm.
666.4 N
5.69x10^-3 kg/m
Corrections for the data values: the incorrect frequency is 434.0 Hz, and the string length
Transcribed Image Text:A piano's A-string should have fundamental frequency = 440 Hz. The string is 38.9 cm long and clamped at both ends. But the piano tuner finds that the string is flat, with frequency 436 Hz; so she increases the tension by 12 newtons to get 440 Hz. Find the linear mass density of the string and the tension when the string is correctly tuned. is 38.72 cm. 666.4 N 5.69x10^-3 kg/m Corrections for the data values: the incorrect frequency is 434.0 Hz, and the string length
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