A sinusoidal transverse wave of wavelength 20.0 cm and frequency 500. Hz travels along a string in the positive z-direction. The wave oscillations take place in the xz-plane and have an amplitude of 3.00 cm. At time t = 0, the displacement of the string at x = 0 is z = 3.00 cm.
a) A photo of the wave is taken at t = 0. Make a simple sketch (including axes) of the string at this time.
b) Determine the speed of the wave.
c) Determine the wave's wave number.
d) If the linear mass density of the string is 30.0 g/m, what is the tension in the string?
e) Determine the function D(z,t) that describes the displacement x that is produced in the string by this wave.
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