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how to solve it ? 37. A sinusoidal sound wave is described by the displacement S(x,t)...
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....
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...
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)
A sound wave traveling through water can be described by the following wave function: (x, t)...
A sound wave traveling through water can be described by the following wave function: (x, t) = A cos (kx - omega t + pi/3) A = 0.040 m k = 1.11 rad/m omega = 1646.195 rad/s rho_water = 1.0 times 10^3 kg/m^3 a) What is the wavelength of this wave? What is the period of this wave? b) What is the amplitude of this wave? What is the phase of the wave when t = 3.0 s and x...
The wave function for a standing wave on a string is described by y(x, t) =...
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 traveling sinusoidal waves are described by the wave functions y1 = 4.80 sin [π(4.10x −...
Two traveling sinusoidal waves are described by the wave functions y1 = 4.80 sin [π(4.10x − 1125t)] y2 = 4.80 sin [π(4.10x − 1125t − 0.250)] where x, y1, and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2?
A sinusoidal wave is described by the following equation: y(x,t)=9 sin(-9π x+6π t) where x and...
A sinusoidal wave is described by the following equation: y(x,t)=9 sin(-9π x+6π t) where x and y are in meters, and t is in seconds. A. The amplitude. Units: m B. The wavelength. Units: m C. The frequency. Units: Hz D. The maximum transverse velocity. Units: m.s-1
4. Consider a sound wave in the air that has displacement amplitude 0.0200 mm. Calculate the...
4. Consider a sound wave in the air that has displacement amplitude 0.0200 mm. Calculate the pressure amplitude for frequencies of (a) 150 Hz; (b) 1500 Hz; (c) 15 000 Hz . In air at normal atmospheric pressure and density, the speed of sound is 344 m/s and the bulk modulus is 1.42×10^5 Pa. Please show all work
A sinusoidal wave is described by the wave function, y = (0.20 m) sin(0.16x − 54t)...
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...
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...
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....
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 sound wave traveling through water can be described by the following wave function: (x, t) = A cos (kx - omega t + pi/3) A = 0.040 m k = 1.11 rad/m omega = 1646.195 rad/s rho_water = 1.0 times 10^3 kg/m^3 a) What is the wavelength of this wave? What is the period of this wave? b) What is the amplitude of this wave? What is the phase of the wave when t = 3.0 s and x...
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...
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