As shown in the figure, a plane simple harmonic propagates in the positive direction of the x-axis. Knowing that the vibration equation of point Py = Acos(wt+o) is the expression of the wave is U P OA y = Acos { w[t_2=¹]+9} u OB. y = Acos { w[t_2+¹ 1+0} y = Acos{ w[t+2=¹1+ o) y = Acos{ w[t+2+1 + 0}
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- Please AsapA periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.2E-05 m. The motion produces a sound wave that travels at a velocity of v = 336 m/s with a frequency of f = 120 Hz. Take the density of air as ρa = 1.20 kg/m3. Calculate the displacement of the air molecules using an function for the traveling sound wave in terms of time and position at time t = 0.001 s and displacement x = 1.0 m. Write an expression for the maximum pressure exerted by the sound wave ΔPmax in terms of the air density ρa, the sound velocity v, the angular frequency ω, and the maximum displacement smax. The sound wave is directly incident on a sheet of paper of surface area A = 0.013 m2. Calculate the maximum force Fmax, in newtons, exerted on this sheet.Problem 1 Let y1 = A sin(kr – wt + a) and y2 = B sin(kx – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are two possibly different amplitudes, and a and ß are two possibly different phase shifts. The wave vector k and angular frequency w of each wave are the same. a) What are the phasors for each wave, denoted 1 and 2? b) What is the sum of the phasors? c) What is the radius R and phase angle o of the phasor in part b)?
- A periodic, standing wave exists on a string of length L=3.23m. If a particular wave is measured to have a wave velocity of v=37.54 m/s, what is the frequency (in Hz) of the n=10 vibrational mode?i need the answer quicklyA periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.2E-05 m. The motion produces a sound wave that travels at a velocity of v = 336 m/s with a frequency of f = 120 Hz. Take the density of air as ρa = 1.20 kg/m3. Calculate the wavelength λ of the sound wave, in meters. Calculate the wavenumber k of the sound, in radians per meter. Calculate the angular frequency of the sound ω, in radians per second.
- a° y(z,t) 1 d*y(x,t) Which of the following wave functions satisfies the wave equation? A.) y(x, t) = A cos(kæ + wt) B.) y(x, t) = A sin(kx +wt) C.) y(x, t) = A[cos(kæ) + cos(wt)] For any of the equations above that satisfy the wave equation what are the transverse velocity and acceleration of a particle at point x?Transversal wave equations that propagate on a rope are Y=20 sin 4π(3t-0,5x)cm .With y and x stated in cm and t in a second. decide amplitude, frequency, wavelength, velocity waves phase, maximum velocity of particles on x=0 inside the rope, The direction the waves creak, How are the equations of particle motion at a balanced position x=0 and determine the curve of the rope on t=0Two harmonic waves are given by: y1=Acos(kx−ωt) and y2=Asin(kx−wt+π/3) where k=5πm−1, ω=800πs−1 and A=4.0cm sin(theta1) +/- sin(theta2) = 2sin( (theta1 +/- theta2) /2) cos( (theta1 -/+ theta2) /2) Using the provided identity, find the equation of the resultant wave and its amplitude. Show all work.