The left-hand plot shows a sinusoidal wave at t = 0. Take the units of position to be xo. The right-hand plot is the amplitude of the position x = 0 as a function of time. (a) What is the speed of the wave? (b) Write down a function y(x, t) that describes the displacement at any given time and position.

Use dimensional analysis to find how the speed vvv of a wave on a string of circular cross section depends on the tension in the string, T, the radius of the string, R, and its mass per volume, ρ (rho). Express your answer in terms of the variables T, R, and ρ(rho).

2.2

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