Traveling Waves?

Question

A rope is stretched between supports 15 m apart. Its tension is 35 N. If one end of the rope is tweaked, the resulting disturbance reaches the other end 0.48 s later. What is the total mass of the rope?

Answer 1

Taut line theory (see ref.):
v = sqrt(T/(m/L))
v^2 = T/(m/L) = LT/m
m = LT/v^2
where v = 15/0.48, L = 15, T = 35