The wave function of a standing wave is y(x, t)=4.44 mm sin[(32.5 rad/m) x]sin[(754 rad/s) t]. For the two traveling waves that make up this standing wave, find the (a) Amplitude; (b) Wavelength; (c) Frequency; (d) Wave speed.

s(y,t) = (3.5nm) sin [(12.5 rad/m) y + (4340 rad/s) t] describes a soundwave. What is the velocity of the wave propagation?

A wave in a string obeys the equation y(x,t) = (5.0cm) sin [(13.8 rad/m)x + (2070 rad/s)t + 2.19rad]. Find the velocity of the wave propagation

The wave function that models a standing wave is given as yR (x, t) = 6.00 cm sin (3.00 m−1 x + 1.20 rad) cos (6.00 s−1 t + 1.20 rad). What are two wave functions that interfere to form this wave function? Plot the two wave functions and the sum of the sum of the two wave functions at t = 1.00 s to verify your answer.

Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t) = 2 cm sin(4πx-60πt+π/3). The amplitude of the individual waves generating this wave is: 2/√3 cm 2 cm 8 cm 4/√3 cm 4 cm

These two waves travel along the same string: Y₁ = (3.61 mm) sin(2.03πx - 380лt) Y2 = (5.73 mm) sin(2.03лx - 380πt +0.818лrad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.32 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave? (a) Number i (b) Number (c) Number Units Units Units

A string oscillates according to the equation y' = (0.752 cm) sin[(7/5.0 cm-1)x] cos[(29.6 t s )t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.74 cm when t = 1.17 s? (a) Number Units (b) Number Units (c) Number Units (d) Number i Units

A wave is described by the equation: with t in seconds and x in metres. (i) € (iv) y(x, t) = 0.6 sin[(2t - 6x) + +핑 Find the frequency, wavelength and wave number of this wave [Hint: write (2t-6x) as -(6x-2t) and then use trigonometric identities to interpret what y(x,t) = Asin[-(kx-ot)] represents graphically compared to y(x,t) = Asin(kx-cot). What is the propagation velocity/wave speed of this wave? What is the displacement and velocity of a particle at x = 0,3 m at t = 2 s? Based on your answer in (c) above, is the particle at x = 0,3 m moving away or towards the equilibrium at t = 2 s? Explain.

Use the wave equation to find the speed of a wave given byy(x, t) = (3.00 mm) sin[(4.00 m-1)x - (7.00 s-1)t].