Question

A low C (f = 65Hz) is sounded on a piano. If the length of the piano wire is 2.0 m and its mass density is 5.0 g/m2, determine the tension of the wire.

Answer 1

Answer:

338N

Explanation:

Use the formula $f=\frac{\sqrt{\frac{T}{\frac{M}{L}} } }{2L}$

f is the frequency, T the string tension, M the mass, and L the length

convert units to seconds, kilograms, meters

$65Hz\ =\ \frac{\sqrt{\frac{T}{\frac{0.005kg}{m}}}}{2\cdot2m}$

now solve for T

sqrt(T/.005) = 65*4 = 260

T = 338N