A C note (f = 256 Hz)is sounded on a piano.If the length of the piano wire is 1.8 m and its mass density is 2.2 g/m,what is the tension in the wire?
A)6.4E+1 N
B)1.4E+2 N
C)1.9E+3 N
D)1.1E+3 N
E)5.6E+2 N

Question

Quizplus · Accepted Answer

The formula for the speed of a wave on a string is v = √(T/μ), where T is the tension and μ is the mass density.
For a C note with frequency f = 256 Hz and wavelength λ = 2L, where L is the length of the string, the speed of the wave can be calculated as v = fλ = 512 m/s.
Equating this to the formula for v above and solving for T, we get T = μv^2 = 1.9E+3 N. Therefore, the correct answer is C.

A C Note (F = 256 Hz)is Sounded on a Piano.If