Describe a pulse traveling along a string of linear mass density μ as a wave function, y(x), if the power carried by this wave at a point x is described as P(x): P (x) = (μ ω3 / k) e πx (a) What is the wave function y(x)? (b) What is the total energy in one wavelength of the wave?

An interface is formed between a block of aluminium (with an acoustic impedance of 1.8 x 107 kg m2 s') and a block of copper (with an acoustic impedance of 4.6 x 107 kg m-2 s-1). Longitudinal sound waves travelling through the aluminium are normally incident on the boundary, and are partially reflected. a) What is the ratio of the amplitude of the reflected wave to that of the incident wave? Number b) What is the ratio of the amplitude of the transmitted wave to that of the incident wave? Number c) What percentage of the incident power is transmitted? Number d) What percentage of the incident power is reflected? Number % Ouit P Sove Questi

A sinusoidal wave is traveling on a string with speed 150 cm/s. The displacement of the particles of the string at x = 22 cm is found to vary with time according to the equationy = (7.6 cm) sin[0.85 - (5.8 s-1)t].The linear density of the string is 9.9 g/cm. What are (a) the frequency and (b) the wavelength of the wave? If the wave equation is of the formy(x,t) = ym sin(kx - ωt),what are (c) ym, (d) k, and (e) ω, and (f) the correct choice of sign in front of ω? (g) What is the tension in the string?

a pulse traveling along a string of linear mass density μ as a wave function, y(x),  if the power carried by this wave at a point x is described as P(x):                          P (x) = (μ ω3 / k) e πx  1) What is the power P(0) carried by this wave at the origin? 2) Compute the ratio P(x)/P(0).