How Is Tension Calculated in a String with Waves?

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The linear density of the string is 5.520×10-3 kg/m, and the transverse wave is described by the equation y=(0.033 m)sin(2.50 m-1x +125.7 s-1 * t). The wave speed has been calculated as 50.38 m/s using the formula v = ω/k, where ω is the angular frequency (125.7 s-1) and k is the wave number (2.5 m-1). To calculate the tension in the string, the formula T = μv² can be used, where T is tension, μ is linear density, and v is wave speed. The discussion emphasizes the need for assistance in calculating the tension after determining the wave speed.
kukulalalu89
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The linear density of a string is 5.520×10-3 kg/m. A transverse wave on the string is described by the equation

y=(0.033 m)sin(2.50 m-1x +125.7 s-1 * t).

1.) What is the wave speed?




2.) What is the tension in the string?


I've already calculated the wave speed but I don't know how to do the tension in string!

HELP PLS!
 
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Show work.
 
wave speed (v) = w/k

y= Asin(kx-wt)

w = 125.7
k=2.5

v = 125.7/2.5 = 50.38 m/s (wave speed)But i do not know how to calculate the tension! HELP PLEASEE!
 

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