Answer:
it will take the wave 0.104 s to travel from one end of the string to the other.
Explanation:
Given;
length of string, L = 7.6 m
mass of string, m = 27 g = 0.027 kg
tension on the string, T = 19 N
[tex]v = \sqrt{\frac{T}{m/L}}[/tex]
where;
v is the velocity of the wave
T is the tension on the string
m is the mass of the string
L is the length of the string
[tex]v = \sqrt{\frac{T}{m/L}} = \sqrt{\frac{19}{0.027/7.6}} = \sqrt{5348.148} =73.13 \ m/s[/tex]
Also velocity, v = distance / time
the distance the wave travels is equal to its length
[tex]v = \frac{l}{t} \\\\73.13 = \frac{7.6}{t} \\\\t = \frac{7.6}{73.13} = 0.104 \ s[/tex]
Therefore, it will take the wave 0.104 s to travel from one end of the string to the other.