A 1.30-in string of weight 1.20N is tied to the ceiling at its upper end, and th

Question

A 1.30-in string of weight 1.20N is tied to the ceiling at its upper end, and the lower end supports a weight W. When you pluck the string slightly, the waves traveling up the string obey the equation y (x, t) = (8.50 mm) cos (172 rad m-1 x - 2730 rad s-1 t) How much time does it take a pulse to travel the full length of the string? t s Submit My Answers Give Up What is the weight W? W = N Submit My Answers Give Up How many wavelengths are on the string at any instant of time? n = Submit My Answers Give Up

Explanation / Answer

here, w = 2730 and k = 172 velocity, v = w/k = 15.8721 m/s length,l = 1.3 m time,t = l/v = 0.082 s since v = sqrt(T/u) u = linear density = mass/length = [1.2/9.8]/1.3 = 0.0942 kg/m v^2 = T/u t is tension in rope T = u*v^2 = 23.7312 N = weight,W mass = weight/g = 2.42 kg wavelength = 2pi/k = 0.0365 m no. of wavelength = l/wavelength = 1.3/0.0365 = 35.59 wavelengths

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