Question

A string with linear density 1.70 g/m is stretched along the positive x-axis with tension 18.0 N. One end of the string, at x = 0.00 m, is tied to a hook that oscillates up and down at a frequency of 177.0Hz with a maximum displacement of 0.695 mm. At t = 0.00 s, the hook is at its lowest point.

What is the wave speed on the string

What is the wavelength?

Answer 1

We know,

The speed of a transverse wave on a string is given by,

Where T is the tension on the string and is the uniform linear density of mass.

Given , T =18.0 N ,

So,

(a) so wave speed of 5he string is 103 m/s.

Given , frequency of the wave ,

Also we know , if be the wavelength of the wave ,

So,

(b) so wavelength of the wave is 0.58 m.