Question

Transverse waves with a speed of 50.0 m/s are to be produced on a stretched string. A 5.00-m length of string with a total mass of 0.060 0 kg is used. (a) What is the required tension in the string? (b) Calculate the wave speed in the string if the tension is 8.00 N.

Answer 1

Answer:

part a)

T = 30 N

part b)

v = 25.8 m/s

Explanation:

Part a)

As we know that the wave speed in the string is given as

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

here we know that

$\mu = \frac{m}{L}$

$\mu = \frac{0.060}{5} = 0.012 kg/m$

now we will have

$50 = \sqrt{\frac{T}{0.012}}$

now for tension force we have

$T = 30 N$

Part b)

if the tension in the string is reduced to

T = 8.00 N

so now we will have

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

$v = \sqrt{\frac{8}{0.012}}$

$v = 25.8 m/s$