5.81 cm
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Q: At a connection of two ropes with a tension of 10 N the incident wave is reflected by the equation x…
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Q: Consider a composite wave formed by two plane waves with slightly different frequencies of 2.9 x 102…
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A: Given: y(x,t) = 0.340 sin (12πt -3πx + π/4)μ=86.0 g/m
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Q: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…
A: Given data:- The given frequency is, 13.2 Hz
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Q: A distance of 3.30 meters lies between two successive maxima of a transverse wave. Five wave crests…
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Q: a) If the period of oscillation of a given wave is 6.5 seconds and the wave is travelling at 19 m/s,…
A: Given that:- Time period=6.5sec And velocity of wave=19m/s
This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction. Assume that it is described by a frequency of 44.9 cycles per second, or hertz (Hz).
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- A distance of 3.30 meters lies between two successive maxima of a transverse wave. Four wave crests pass a stationary observer every 13.2 seconds. (a) Compute the wave's frequency (in Hz). (b) With what speed (in m/s) does the wave travel?The function y(x, t) = A cos(kx - wt) describes a traveling wave on a taut string with the x-axis parallel to the string. If the wavelength of the wave λ = 0.61 m and w = 18.9π/s, what is the speed of the traveling wave? Express your answer in m/s, to at least one digit after the decimal point.A harmonic wave travels in the positive xx direction at 9 m/s9 m/s along a taut string. A fixed point on the string oscillates as a function of time according to the equationy=0.039cos(1t)y=0.039cos(1t)where yy is the displacement in meters and the time tt is in seconds. What is the amplitude of the wave, in meters? What is the frequency of the wave, in hertz? What is the wavelength of the wave, in meters?
- Two sinusoidal waves, which are identical except for a phase shift, travel along in the same direction. The wave equation of the resultant wave is yR (x, t) = 0.35 cm sin (6.28 m−1 x − 1.57 s−1 (t) + π/4). What are the period, wavelength, amplitude, and phase shift of the individual waves?A wave travels along the x-axis in the direction of decreasing x along a cable having a linear mass density of Mu = 50.0 g/cm and under a tension of T = 60.0 N. The frequency of the wave is f = 20.0 Hz. a) Find the wavelength and period of this wave. b) If the amplitude of the wave is 1.5 cm, find the equation for the wave as a function of x and time, t. c) Determine the average power of the wave.Two waves are described by: yı(x, t) = 0.25 sin[T(15x – 2002)] y2(x, t) = 0.25 sin[T(15x – 200t) + T/3] where yı, y2, and x are in meters and t is in seconds. When these two waves are combined, a traveling wave is produced. What are the (a) amplitude, (b) wave speed, (c) wavelength, and (d) equation y'(x, t) = yı(x, t) + y2(x, t) of that traveling wave (be sure to simplify your final expression using trigonometric identities or an appropriate formula from class or the book)? and -
- A wave has an angular frequency of 178 rad/s and a wavelength of 2.41 m. Calculate (a) the angular wave number and (b) the speed of the wave.A wave is modeled with the function y(x,t) = (0.25m)cos(0.30m x-0.90s-1t+r/3). Find (0.5+ (a) the amplitude, (b) the wave speed, (c) the direction of the waveA wave has a speed of 20 m/s and a wavelength of 200 m. Find its frequency and period?
- The depth to an unusual layer of rock is to be determined at a particular place by bouncing an artificially generated seismic wave off it and receiving the echo at the surface. When this is done, the depth is given by the equation, h = (1/2) v t, in which h is the depth, v is the average velocity of the seismic wave, and t is the time that it takes for the wave to go down to the rock layer and return to the surface. If t = 0.350 +/- 0.10, and v = 2,000 +/- 10. meters per second, what is the possible error in the depth. (Show your work, and remember to express your results in the correct number of significant figures.)The displacement of a traveling wave as a function of position and time is given by; y(x,t) = 0.14 sin(25.4x-597t) where are values have proper SI Units. What is the wave speed of this wave?The displacement, y , of particles in a wave travelling along the x-axis is given by y(x, t) = 2xe-*-3t + 6te-x-3t for x and y measured in centimetres and t in seconds. (a) Use the one-dimensional wave equation to determine the phase speed of the wave. In what direction does the wave propagate? (b) Show that a particle at any position x along the wave obeys the equation of motion, a²y ду at? +6. + 9y = 0 at What kind of oscillation does this describe?