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1. Travelling Waves A transverse wave travels along the length of a rope. The vertical displacement...
4. Travelling Waves and Their Characteristics A sinusoidal rope wave travels along the positive x -...
4. Travelling Waves and Their Characteristics A sinusoidal rope wave travels along the positive x - direction. You are also told that the speed of the wave is 20 cm/s, its frequency is 40 Hz, and that the wave is subject to the following initial conditions: at x = 0 and t = 0: y = +5 cm, and, at x = 0 and t = 0:09 = +10 cm/s (this is the transverse velocity of a point on the...
6. Transverse waves are propagating along a stretched rope. The tension in the rope is doubled....
6. Transverse waves are propagating along a stretched rope. The tension in the rope is doubled. (a) If the wavelength is to remain unaffected, by what factor should the frequency change? (b) Does this change the speed of the wave? If so, by what factor? 7. A wave described by the function below propagates in a string under a tension of 0.18 N. y(x,t) = 2.4 x 10-3 sin (36x – 270t) m where x is in meters, and t...
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction...
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 4 cm. The wave equation is to be in the form of y = ym sin(kx - ωt + φ). (a) At t = 0, is a...
A sinusoidal transverse wave is travelling along a string in the negative direction of an x...
A sinusoidal transverse wave is travelling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 3.3 N, and its linear density is 44 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave, (e) Find the maximum transverse speed of a particle in the...
Asimple harmonic oscillator at the point generates a wave on a rope. The oscillator operates at...
Asimple harmonic oscillator at the point generates a wave on a rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of and is stretched with a tension of 5.00 N. (a) Determine the speed of the wave. (b) Find the wavelength. (c) Write the wave function for the wave. Assume that the oscillator has its maximum upward displacement at time t=0. (d) Find the maximum...
A traveling sinusoidal wave is moving on a long thin rope (total length =186 m, mass...
A traveling sinusoidal wave is moving on a long thin rope (total length =186 m, mass = 3.50 kg) in the +x direction. The rope is tied at one end to give a tension T. The wave is described by wavelength λ= 2.00 m, amplitude A=1.20 m and speed v=30.0 m/s. The phase angle is -π/4 radian. a. the expression that describes the y-displacement of the media particles as a function of time (give numbers for all the quantities). b. the...
We consider transverse waves on a string that have a wave speed of 8.00 m/s, amplitude...
We consider transverse waves on a string that have a wave speed of 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the -x-direction, and at t=0 the x=0 end of the string has its maximum upward displacement. Find the transverse displacement of a particle at x=0.360 m at time t =0.150 s. Give your answer in centimeters.
We consider transverse waves on a string that have a wave speed of 8.00 m/s, amplitude...
We consider transverse waves on a string that have a wave speed of 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the -x- direction, and at t=0 the x=0 end of the string has its maximum upward displacement. Find the transverse displacement of a particle at x=0.360 m at time t -0.150 s. Give your answer in centimeters.
For the following questions, consider a wave travels along a stretched horizontal rope a. The vertical...
For the following questions, consider a wave travels along a stretched horizontal rope a. The vertical distance from crest to trough for this wave is 12cm. The horizontal distance from crest to trough is 28 cm. i. What is the wavelength of this wave? ii. What is the amplitude of this wave? b. If the above wave is propagating with a speed of 120 cm/s, what is the frequency of the wave? Write an equation describing this wave. c. r(xr,...
Two transverse sinusoidal waves combining in a medium are described by the wave functions y_1 =...
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...
4. Travelling Waves and Their Characteristics A sinusoidal rope wave travels along the positive x - direction. You are also told that the speed of the wave is 20 cm/s, its frequency is 40 Hz, and that the wave is subject to the following initial conditions: at x = 0 and t = 0: y = +5 cm, and, at x = 0 and t = 0:09 = +10 cm/s (this is the transverse velocity of a point on the...
6. Transverse waves are propagating along a stretched rope. The tension in the rope is doubled. (a) If the wavelength is to remain unaffected, by what factor should the frequency change? (b) Does this change the speed of the wave? If so, by what factor? 7. A wave described by the function below propagates in a string under a tension of 0.18 N. y(x,t) = 2.4 x 10-3 sin (36x – 270t) m where x is in meters, and t...
A sinusoidal transverse wave is travelling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 3.3 N, and its linear density is 44 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave, (e) Find the maximum transverse speed of a particle in the...
We consider transverse waves on a string that have a wave speed of 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the -x- direction, and at t=0 the x=0 end of the string has its maximum upward displacement. Find the transverse displacement of a particle at x=0.360 m at time t -0.150 s. Give your answer in centimeters.
For the following questions, consider a wave travels along a stretched horizontal rope a. The vertical distance from crest to trough for this wave is 12cm. The horizontal distance from crest to trough is 28 cm. i. What is the wavelength of this wave? ii. What is the amplitude of this wave? b. If the above wave is propagating with a speed of 120 cm/s, what is the frequency of the wave? Write an equation describing this wave. c. r(xr,...
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...
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