The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t = 0. (a) Determine the angular frequency for this wave (in rad/s). 31.4 rad/s (b) Determine the wave number for this wave (in rad/m). 3.6 x This is the wave length not the wave number. rad/m (c) Write an expression for the wave function. (Use the following as necessary: t, x. Let x be in meters and t be in seconds. Do not include units in your answer. Assume SI units.) y= sin (d) Calculate the maximum transverse speed (in m/s). m/s

Tension is maintained in a string as in the figure below. The observed wave speed is v = 15.0 m/s when the suspended mass is m = 3.00 kg. (You may assume that the length of the vertical portion of the string is negligible compared to the length of the string.) (a) What is the mass per unit length of the string? kg/m (b) What is the wave speed when the suspended mass is m = 2.30 kg? m/s

Tension is maintained in a string as in the figure below. The observed wave speed is v = 199 m/s when the suspended mass is m = 3.0 kg.   (a) What is the mass per unit length of the string? _______________kg/m(b) What is the wave speed when the suspended mass is m = 2.28 kg? _________________m/s