Question

A steel cable with total length 61 m and mass 120 kg is connected to two poles. The tension in the cable is 2,410 N, and the wind makes the cable vibrate with a frequency of 2 Hz. Calculate the wavelength of the resulting wave on the cable.

Answer 1

Given : l = 61 m ; m = 120 kg ; T = 2410 N ; f = 2 Hz

Solution :

Step:1 : Calculate linear density

Linear density is given by :

= 1.97 kg/m

Step:2 : Calculate speed of wave

speed of wave is given by :

= 34.98 m/s

Step:3 : Calculate wavelength

We know that speed of wav ecan be given as :

v = f

So,wavelength can be given by :

= 17.49 m

Answer : 17.49 m