Question

Waves travel along a 100-m length of string which has a mass of 55 g and is held taut with a tension of 75 N. What is the speed of the waves?

Answer 1

Answer:

$v=369.27\frac{m}{s}$

Explanation:

The speed of the waves in a string is related with the tension and mass per unit length of the string, as follows:

$v=\sqrt\frac{T}{\mu}$

First, we calculate the mass per unit length:

$\mu=\frac{m}{L}\\\mu=\frac{55*10^{-3}kg}{100m}\\\mu=5.5*10^{-4}\frac{kg}{m}$

Now, we calculate the speed of the waves:

$v=\sqrt\frac{75N}{5.5*10^{-4}\frac{kg}{m}}\\v=369.27\frac{m}{s}$