The velocity v of the wave travelling on a stretched string depends on the tensi

Question

The velocity v of the wave travelling on a stretched string depends on the tension T and the linear density mu of the string. If the tension in the string is T= 98 N, the density of the string is ft = 2.0 times 10^-4 kg/m, what is the speed of wave on the string? V = ____ (show calculation below) If the string has a length L = 2.0 m, and we want to generate a standing wave with 5 loops, what would be the wavelength of the standing wave? lambda = _____ (show your calculation below) What would the frequency of the wave? f =_____ (show your calculation below)

Explanation / Answer

1) v = sqrt(T/density)

v = sqrt(98/2*10^-4) = 700 m/s

2) l = 5*lambda/2

lambda = 2l/5 = 4/5 = 0.8 m

3) v = lambda*f

f = 700/0.8 = 875Hz

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