Suppose you suspend a 3 meternylon rope from a hook in the ceiling and tie a 10 kg ball to theend of the rope. The mass of the rope is 0.5 kg. Now you pluck therope. That sends a wave up and down the rope. Estimate the speed ofpropagation of that wave.

Respuesta :

Answer:

24.26 m/s

Explanation:

[tex]\mu[/tex] = Linear density of string = [tex]\dfrac{m}{L}=\dfrac{0.5}{3}[/tex]

T = Tension on the string = mg = [tex]10\times 9.81[/tex]

g = Acceleration due to gravity = 9.81 m/s²

Velocity of a string is given by

[tex]v=\sqrt{\dfrac{T}{\mu}}[/tex]

[tex]\Rightarrow v=\sqrt{\dfrac{10\times 9.81}{\dfrac{0.5}{3}}}[/tex]

[tex]\Rightarrow v=24.26\ m/s[/tex]

The velocity of the wave is 24.26 m/s