Question

A thin, 74.0-cm wire has a mass of 16.6 g . One end is tied to a nail, and the other end is attached to a screw that can be adjusted to vary the tension in the wire. To what tension (in newtons) must you adjust the screw so that a transverse wave of wavelength 3.36 cm makes 626 vibrations per second?

Answer 1

Answer: 97.33 N

Explanation: In order to solve this problem we have to use the expression for the velocity of the transversal wave in wire. This is given by:

v=$\sqrt{T/\mu }$ whete T and μ are the Tension and linear density.

then

T=v^2*μ  ;   μ  can be calculated as 0.166Kg/0.74m=0.22 Kg/m

v is obtained by λ*ν = 0.0336 m*626 /s=21.03 m/s

thus

T=442.4 *0.22=97.33 N