One end of a horizontal rope is attached to a prong of an electrically driven tuning fork that vibrates at a frequency 119 hz . the other end passes over a pulley and supports a mass of 1.50 kg. the linear mass density of the rope is 0.0500 kg/m. what is the speed of a transverse wave on the rope?

The speed of the wave in the rope is 17.1 m/s

Explanation:

In this experiment a vibrated string produces a standing wave, which has a node in the pulley and another in the tuning fork, since the pitch of the fotk is much smaller than the amplitude in the string. This system is described by the relationships

      v = λ f

      v = √(T/μ)

Where f is the frequency in the string, λ wavelength, T the string tension and μ its linear density

We look for tension with Newton's second law, applied to mass

     T-W = 0 T = W = mg

     T = 1.50 9.8

     T = 14.7 N

We calculate the speed of the wave

      v = √T/m

V = √(14.7 / 0.0500)

.v = 17.15 m / s

The speed of the wave in the rope is 17.1 m/s