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

338N

Step-by-step explanation:

Use the formula
`f=\frac{\sqrt{(T)/((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{(T)/((0.005kg)/(m))}}{2\cdot2m}`

now solve for T

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

T = 338N