A C note ( f = 256 Hz) is sounded on a piano. If the length of the piano wire is 1.00 m and its mass density is 2.50 g/m, what is the tension in the wire?

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Chapter1: Units, Trigonometry. And Vectors
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A C note ( f = 256 Hz) is sounded on a piano. If the length of the piano wire is 1.00 m and its mass density is 2.50 g/m, what is the tension in the wire?
Expert Solution
Step 1 Relation between frequency and tension

Frequency for a tone is given by

f=v2L

Where, L=length of piano

            v=velocity of sound

Also written as, v=2Lf...........1

For tension,

v=Tρ.............2

Where, T= tension force

            ρ= mass density

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