A string with a linear density of 8.0 g/m (0.008 kg/m) is under tension of 200 N. What is the speed of the wave? (Please show work)

Respuesta :

Answer:

The speed of the wave is 158.11 m/s

Explanation:

We have,

Linear density of a string is 8.0 g/m or 0.008 kg/m.

Tension in the string is 200 N

It is required to find the speed of the wave. The speed of a wave in terms of tension and the linear density is given by :

[tex]v=\sqrt{\dfrac{T}{\mu}}[/tex]

[tex]\mu[/tex] is linear density

[tex]v=\sqrt{\dfrac{200}{0.008}}\\\\v=158.11\ m/s[/tex]

So, the speed of the wave is 158.11 m/s