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 - 858t) 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
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...
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 sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the following wave function, where x is in meters and t is in seconds. y = (3.00 m) sin(0.200x) cos(2006) Determine the wavelength of the interfering waves. What is the frequency of the interfering waves? Hz Find the speed of the interfering waves. m/s Two sinusoidal waves combining in a medium are described by the following wave functions, where x is in centimeters and t is...
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...
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...