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Finding mass per unit length for stretched strng given tension?

  • Thread starter coffeem
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  • #1
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[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.
 

Answers and Replies

  • #2
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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)
 

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