Finding mass per unit length for stretched strng given tension?

AI Thread Summary
The discussion focuses on calculating the mass per unit length of a stretched string given a tension of 5N and a wave equation. Key parameters identified include an amplitude of 0.1 m, a wavelength of 0.4 m, and an angular frequency of 4 rad/s, leading to a wave velocity of 0.1 m/s. The relationship between wave speed, tension, and density is highlighted, with the formula v = √(T/ρ) being crucial for determining mass per unit length. The user successfully solved the problem using this relationship and provided insights on sketching the wave's variation with position. The thread concludes with a solution that emphasizes the connection between wave properties and physical parameters of the string.
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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.
 
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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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