Question

A piano string is under a tension of T = 989 N. When struck the wave has a period of t = 0.75 ms and a wavelength of λ = 0.84 m.

A piano string is under a tension of T = 989 N. When struck the wave has a period of t = 0.75 ms and a wavelength of λ = 0.84 m.

 Part (a) What is the linear density of the string, in kilograms per meter?

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 Part (b) If the piano's soundboard is L= 1.0 m long, how much does the string weigh, in newtons?

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Answer #1

B)

Mass, m = uL

m = 7.88 x 10^-4 x 1 = 7.88 x 10^-4 kg

Weight, W = mg

W = 7.88 x 10^-4 x 9.8 = 7.73 x 10^-3 N

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