A rope has a density of 7.5 g/cm3 and a cross-sectional area of 2.0 cm2. When the rope is subjected to a tension of 100 N, and one end is vibrated up and down with a frequency of 25 Hz, what is the (a) velocity of the transverse wave in the rope and (b) wavelength in Chapter the rope?​

Explanation:

The density of a rope, d = 7.5 g/cm³

The cross-sectional area of the rope, A = 2 cm²

The tension in the rope, T = 100 N

One end is vibrated up and down with a frequency of 25 Hz.

(a) The velocity of the transverse wave in the rope is given by :

Mass per unit length will be :

So,

(b) Let is the wavelength of the rope. So,

So, the velocity of the transverse wave in the rope is 2.58 m/s and the wavelength is 0.103 m.