Finding mass per unit length for stretched strng given tension?

1. May 11, 2008

coffeem

[SOLVED] Finding mass per unit length for stretched strng given tension?

A transverse wave on a stretched string under Tension = 5N is defined by the equation:

y(x,t) = 0.1cos(2pi/5(x - 10t)

Find:

a) amplitude = 0.1 m

b) wavelength = 0.4 m

c) angular frequency = 4 rad/s

d) wave velocity = 0.1. m/s

e) mass per unit length ???

f) for t = 0, sketch how y varies with x. ???

I can do the first 4 parts be using the solution to the wave equation. Any ideas on how to do the other two bits? thanks.

2. May 11, 2008

coffeem

Hey thanks for anyone for looking at this. However I have been able to solve it another way. If anyone is interested the answer is:

wave speed v relates tension and density:

v = root(T/rho)

and you can set t=0 in that equation and you have something like y=acos(kx)