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The height of an ocean wave is described by the function
Determine the phase velocity and wavelength, and then sketch
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EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
- Two traveling sinusoidal waves are described by the wave functions Y, = 4.75 sin [a(3.75x – 1230t)] y, = 4.75 sin [¤(3.75x – 1230t – 0.250)] where x, y,, and y, are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y, + y,? 9.4 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. marrow_forwardThe equation of a standing wave is y(x.t) = 0.8 cos(0.05Ttx) sin(200rt) where x and y are in cm and tis in seconds. The separation distance between two consecutive nodes is: 40 cm 2.5 cm 5 cm 20 cm O 10 cmarrow_forwardi need the answer quicklyarrow_forward
- A travling wave with a wavelegnth of wavelength is 0.96 (m), detailed as y(x, t) = 77.98 sin( kx + 28.45 t+23.46o) Find the peed of the wave, v ? Notes: - Use 2 decimal and round the 3rd decimal. Example : 13.225 , your answer would be 13.23 - Do not add Unit in your answer - Don't do spaceing - Add the negative "-" sign only when it is in your answerarrow_forwardTwo sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x.t) = 8 cm sin(4ttx-60rtt-T/3). The amplitude of the individual waves generating this wave is: 4/13 cm 4 cm 8 ст 2/13 cm 2 cmarrow_forwardAn EM wave progating in a certain medium is described by E = 31 sin(3922.8 x 10°t - 9.2x)a₂ V/m Determine the phase velocity of the wave.arrow_forward
- Two harmonic waves are generated on the same rope, each wave has an amplitude of 3.0 cm and 2.0 cm respectively as shown in the figure. Nevertheless, the second wave has a lag of π / 2 in relation to the first. Knowing that both have the same frequency of 5.0 Hz, and the length wave of the first wave is 0.4 m: (a) Calculate the wave number and angular frequency of each of the waves; ps: for the two waves! (b) Express the wave function of each of the harmonic oscillations propagated in the string;arrow_forwardA travling wave with a wavelegnth of wavelength is 0.32 (m), detailed as y(x, t) = 28.13 sin( kx + 524.99 t+46.38o) Find the angular velocity , w? Notes: - Use 2 decimal and round the 3rd decimal. Example : 13.225 , your answer would be 13.23 - Do not add Unit in your answer - Don't do spaceing - Add the negative "-" sign only when it is in your answerarrow_forwardThe frequency(in Hz) of the power wave associated with an electromagnetic wave having an E field as Z Z 6 E = e cos cot 8 is given byarrow_forward
- answer quicklyarrow_forwardQuestion. The figure given below is a plot of a sinusoidal wave. From the plot, determine values for the amplitude (A), phase (p), and frequency (wo) needed in the representation: x(t) = Acos(wot + $) Give the answer as numerical values, including the units where applicable. 20 10 x(t) o -10 -20 -10 0 10 20 30 40 Time t (msec)arrow_forwardIf two waves ( Y1 and Y2 ) move in the same direction and superimpose with each other to create a resultant wave, What would happen to the amplitude of resultant wave if those waves are in phase with each other?( the amplitude of the resultant wave at x = 10 m) Consider: Y1 = 7 sin (2x - 3nt + 1/3) and Y2 = 7 sin (2x + 3nt)arrow_forward
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