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Wave function
You are observing a wave traveling along the x-axis. The first picture (y vs....
A sinusoidal transverse wave is traveling along a string in the negative direction of an x...
A sinusoidal transverse wave is traveling along a string in the
negative direction of an x axis. The figure below shows a
plot of the displacement as a function of position at time
t = 0. The x axis is marked in increments of 10
cm and the y axis is marked in increments of 2 cm. The
string tension is 3.1 N, and its linear density is 34 g/m.
(a) Find the amplitude.
m
(b) Find the wavelength.
m...
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 equation of a transverse wave traveling along a very long string is y = 3.96...
The equation of a transverse wave traveling along a very long string is y = 3.96 sin(0.0444πx+ 7.89πt), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 1.05 cm when t = 0.843 s?
The equation of a transverse wave traveling along a very long string is given by y...
The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.018πx + 3.1πt), where x and y are expressed in centimeters and t is in seconds. Determine the following values. (a) the amplitude cm (b) the wavelength cm (c) the frequency Hz (d) the speed cm/s (e) the direction of propagation of the wave +x−x +y−y (f) the maximum transverse speed of a particle in the string cm/s (g) the transverse displacement at...
The equation of a transverse wave traveling along a very long string is y = 6.28...
The equation of a transverse wave traveling along a very long string is y = 6.28 sin(0.0223πx+ 3.63πt), where x and yare expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 4.95 cm when t = 0.876 s?
The wave function for a traveling wave on a taut string is (in SI units) y(x,t)...
The wave function for a traveling wave on a taut string is (in SI units) y(x,t) = 0.360 sin 14πt − 2πx + π 4 (a) What are the speed and direction of travel of the wave? speed m/s direction (b) What is the vertical position of an element of the string at t = 0, x = 0.200 m? m (c) What is the wavelength of the wave? m (d) What is the frequency of the wave? Hz (e)...
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t...
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t (A) Determine the wave's (a) amplitude; (b) wavelength; (c) propagation speed (d) frequency (e) direction of propagation (B) An element of the string is located at x 2.25 m (a) Show that the motion of this element is a simple harmonic motion with a transverse displacement of the form y(t) Acos ( t + ф). (b) Determine the phase constant φ (c) Give its...
Parts E-H please A sinusoidal transverse wave is traveling along a string in the negative direction...
Parts E-H please
A sinusoidal transverse wave is traveling 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 2.1 N, and its linear density is 21 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...
A transverse wave is traveling on a string stretched along the horizontal x-axis. The equation for...
A transverse wave is traveling on a string stretched along the horizontal x-axis. The equation for the vertical displacement y is given by y(x,t) = Asin(kx-wt), where A is the amplitude of the wave is much smaller than the wavelength, an individual particle in the string has constant horizontal displacement x but oscillates in the y-direction. The maximum speed of the particle in the y-direction is... Aw A^2w Aw^2 w/k k/w
6. (20 pts.) A wave traveling along a string stretched along an x-axis has the form...
6. (20 pts.) A wave traveling along a string stretched along an x-axis has the form y(x, t) = (10 mm) sin(107x – 5nt). (a) What direction is the wave traveling (to the left or right)? (d) What is the wave's frequency, wavelength and speed? (e) What is the minimum, finite length the string must have in order to have standing waves, in it, with this waveform bouncing back and forth along x? (f) If the string has that length,...
A sinusoidal transverse wave is traveling along a string in the
negative direction of an x axis. The figure below shows a
plot of the displacement as a function of position at time
t = 0. The x axis is marked in increments of 10
cm and the y axis is marked in increments of 2 cm. The
string tension is 3.1 N, and its linear density is 34 g/m.
(a) Find the amplitude.
m
(b) Find the wavelength.
m...
A wave is modeled by the wave function 2Tt y(x, t) (0.30 m) sin 4.50 7m(x+18.00t (A) Determine the wave's (a) amplitude; (b) wavelength; (c) propagation speed (d) frequency (e) direction of propagation (B) An element of the string is located at x 2.25 m (a) Show that the motion of this element is a simple harmonic motion with a transverse displacement of the form y(t) Acos ( t + ф). (b) Determine the phase constant φ (c) Give its...
Parts E-H please
A sinusoidal transverse wave is traveling 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 2.1 N, and its linear density is 21 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...
6. (20 pts.) A wave traveling along a string stretched along an x-axis has the form y(x, t) = (10 mm) sin(107x – 5nt). (a) What direction is the wave traveling (to the left or right)? (d) What is the wave's frequency, wavelength and speed? (e) What is the minimum, finite length the string must have in order to have standing waves, in it, with this waveform bouncing back and forth along x? (f) If the string has that length,...
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