

1. A sinusoidal sound wave moves through a medium and W is described by the displacement...
1. A sinusoidal sound wave moves through a medium and W is described by the displacement wave function s(x, t) = 2.00 cos (15.7x – 8581) where sis in micrometers, x is in meters, and tis in sec- onds. Find (a) the amplitude, (b) the wavelength, and (c) the speed of this wave. (d) Determine the instanta- neous displacement from equilibrium of the elements of the medium at the position x = 0.050 0 m at 1 = 3.00 ms....
A sinusoidal sound wave is described by the displacement s(x, t) = (1.82 µm) cos[(15.0 m-1)x - (878 s-1)t] (b) Determine the instantaneous displacement of the molecules at the position x = 0.0503 m at t = 3.03 ms. (answer in µm) (c) Determine the maximum speed of a molecule's oscillatory motion. (answer in mm/s)
how to solve it ?
37. A sinusoidal sound wave is described by the displacement S(x,t) (2.00x 108) cos (1.25 x - 1850 ), where x is in meters and t is seconds. What is the pressure amplitude of this wave if it is traveling in a material with a bulk modulus of 2.10x 109 N/m2, (Ans: 52.5 Pa)
1. An experimenter wishes to generate in air a sound wave that has a displacement amplitude of 5.70 x 10-6 m. The pressure amplitude is to be limited to 0.850 Pa. What is the minimum wavelength the sound wave can have? (Take the equilibrium density of air to be p = 1.20 kg/m3 and assume the speed of sound in air is v = 343 m/s.) m 2. A sound wave in air has a pressure amplitude equal to 3.98...
A sinusoidal wave is described by the wave function, y = (0.20 m) sin(0.16x − 54t) where x and y are in meters and t is in seconds. Determine the following for this wave. (a) the amplitude ______________ m (b) the angular frequency _______________ rad/s (c) the angular wave number _____________ rad/m (d) the wavelength _________ m (e) the wave speed ________ m/s
A distant tuning fork of frequency f produces a plane sound wave that moves along the positive x-axis and has an amplitude of A. Write an expression for the displacement at some time t and position x as a function of x, t, f, A, and the speed of sound (v). (Enter π as pi) y =
Two transverse sinusoidal waves combining in a medium are described by the wave functions y_1 = 1.00 sin pi (x + 0.900t) y_2 = 1.00 sin pi(x - 0.900t) where x, y_1, and y_2 are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions. x = 0.240 cm |y max| = x = 0.340 cm |ymax| = x = 1.40 cm |ymax| = Find the three smallest...
The wave function for a standing wave on a string is described by y(x, t) = 0.016 sin(4πx) cos (57πt), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m ymax = m vmax = m/s (b) x = 0.25 m ymax = m vmax = m/s (c) x = 0.30 m ymax = m vmax = m/s (d) x = 0.50...
11.9
A sinusoidal wave is described by the wave function, y# (0.27 m) sin(0.22x-34t) where x and y are in meters and t is in seconds. Determine the following for this wave (a) the amplitude (b) the angular frequency rad/s (c) the angular wave number rad/m (d) the wavelength 25.56 What is the relationship between the wave number and the wavelength? m e) the wave speed The speed can be calculated from a number of quantities that involve the length...
5. The longitudinal displacements of air molecules in a sound wave are described by: y-32x 10" sin (3x-15000 mn where x is in meters and t is in seconds. (a) By comparing to the general form of the functions describing sound waves in Equation 1.6 and in Exercise 1.4, determine the amplitude of the longitudinal displacements, the angular wave number, the angular frequency, and the phase angle, giving the correct units for each. Find (b) the propagation speed of the...