![A standing wave is described by y(x, t)-[36.5 sin(4.34x)]cos(235t), where all constants are in appropriate SI units. What are the wave functions for the two traveling waves that make up this standing wave? (Use the following as necessary x and t. Do not enter units in your answers.) 1 (x, t) (travels in the +x direction) y2 (x, t) = (travels in the -x direction)](http://img.homeworklib.com/questions/57bcb1c0-7c47-11eb-9df3-5f1665a95557.png?x-oss-process=image/resize,w_560)
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A standing wave is described by y(x, t)-[36.5 sin(4.34x)]cos(235t), where all constants are in appropriate SI...
A traveling wave is described by the equation y(x,t) (0.17 m) cos(29 x+ 232 t), where...
A traveling wave is described by the equation y(x,t) (0.17 m) cos(29 x+ 232 t), where x is measured in meter and t in seconds. What is the velocity of this wave in units of m/s? Enter a number with one digit behind the decimal point. Remember that in one dimension the sign of the velocity functions as the direction indicator.
A traveling wave is described by the function y(x,t) = 2 cos(3pi*t − 4pi*x), where y...
A traveling wave is described by the function y(x,t) = 2 cos(3pi*t − 4pi*x), where y is in cm, x is in meters, and t is in seconds. a. In what direction is the wave traveling? b. What is the speed of the wave? c. What is the transverse acceleration of the wave at y = 0 and t = 1 second? d. Write an expression for the second harmonic of this wave (i.e., same speed, but twice the frequency).
The wave functions for two harmonic waves are given by D1(x,t) =(0.3m)sin(2.0x−3.0t), D2(x,t) =(0.3m)sin(2.0x−3.0t+π/2) where x...
The wave functions for two harmonic waves are given by D1(x,t) =(0.3m)sin(2.0x−3.0t), D2(x,t) =(0.3m)sin(2.0x−3.0t+π/2) where x is in metres and t is in seconds. If the resultant wave is expressed as Dresultant(x,t)=(C1)cos(C2)sin(C3x+C4t+C5) what are the constants? Please enter numeric answers, not equations and/or variables. C1/C2/C3/C4/C5 =? Include units.
Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the following...
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...
Two waves on one string are described by the wave functions y,-2.0 cos(3.5x-1.9t) Y2 = 3.5...
Two waves on one string are described by the wave functions y,-2.0 cos(3.5x-1.9t) Y2 = 3.5 sin(4.5x-1.5t) where x and y are in centimeters and t is in seconds. Find the superposition of the waves i 2 at the following points. (Remember that the arguments of the trigonometric functions are in radians.) (a) x = 1.00, t = 1.00 cm (b) x-1.00, t = 0.500 cm (c) x = 0.500, t = 0 cm
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) = 0.023 sin(4x) cos (591), 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 = Vmax = m/s m (b) x = 0.25 m Vmax = Vmax = m m/s (c) x = 0.30 m Ymax = m Vmax...
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?
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) = 0.021 sin(4x) cos (56át), 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 = Vmax = m m/s (c) x = 0.30 m Ymax = Vmax =...
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 =...
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 = (1.3 mm) sin [(22.1 rad /m)x + (540 rad /s)] travel along a stretched string. (a) Find the resultant wave y = y1+ y2 as a function of t for x = 0 and 1/2 where is the wavelength. Omit units. (b) The resultant wave is the superposition of a standing wave and a traveling wave. In which direction does the traveling wave move?...
A propagating wave is described by the wave function (in SI units) y(x, t) = 3...
A propagating wave is described by the wave function (in SI units) y(x, t) = 3 sin(4.x + 2.t) What can be said about the direction of wave propagation and its speed (assume positive x direction is to the right)? o Wave propagates to the left with the speed of 0.5 m/s o Wave propagates to the right with the speed of 0.5 m/s o Wave propagates to the left with the speed of 2 m/s o Wave propagates to...
A traveling wave is described by the equation y(x,t) (0.17 m) cos(29 x+ 232 t), where x is measured in meter and t in seconds. What is the velocity of this wave in units of m/s? Enter a number with one digit behind the decimal point. Remember that in one dimension the sign of the velocity functions as the direction indicator.
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...
Two waves on one string are described by the wave functions y,-2.0 cos(3.5x-1.9t) Y2 = 3.5 sin(4.5x-1.5t) where x and y are in centimeters and t is in seconds. Find the superposition of the waves i 2 at the following points. (Remember that the arguments of the trigonometric functions are in radians.) (a) x = 1.00, t = 1.00 cm (b) x-1.00, t = 0.500 cm (c) x = 0.500, t = 0 cm
The wave function for a standing wave on a string is described by y(x, t) = 0.023 sin(4x) cos (591), 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 = Vmax = m/s m (b) x = 0.25 m Vmax = Vmax = m m/s (c) x = 0.30 m Ymax = m Vmax...
The wave function for a standing wave on a string is described by y(x, t) = 0.021 sin(4x) cos (56át), 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 = Vmax = m m/s (c) x = 0.30 m Ymax = Vmax =...
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 = (1.3 mm) sin [(22.1 rad /m)x + (540 rad /s)] travel along a stretched string. (a) Find the resultant wave y = y1+ y2 as a function of t for x = 0 and 1/2 where is the wavelength. Omit units. (b) The resultant wave is the superposition of a standing wave and a traveling wave. In which direction does the traveling wave move?...
A propagating wave is described by the wave function (in SI units) y(x, t) = 3 sin(4.x + 2.t) What can be said about the direction of wave propagation and its speed (assume positive x direction is to the right)? o Wave propagates to the left with the speed of 0.5 m/s o Wave propagates to the right with the speed of 0.5 m/s o Wave propagates to the left with the speed of 2 m/s o Wave propagates to...
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