How to create animation of wave pattern h(x,y,t) = Acos(2pit/T-2pix/L) with T=4s , L=12m, -300<=x<=300, -300<=y<=300 , 0<=t<=20

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Aagam Jain 2020-4-20

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评论： BALAJI KARTHEEK 2020-4-20

clc
clear all
A=1;
T=4;
L=12;
syms t
t=0:1:20;
x=-300:10:300;
H=A*cos(2*pi*t/(T)-2*pi*x/(L))
for k=1:length(t)
    plot(t(k),H(k),'+')
    axis([-0.5 20.5 -2 2])
    pause(0.25)
end

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Aagam Jain 2020-4-20

Wave Patterns In the open ocean under circumstances where the wind is blowing steadily in the direction of wave motion, successive wavefronts tend to be parallel. The height of the water at any point might be represented by the equation

h(x,y,t)= A cos (2pi*t/T - 2pi*x/L

where T is the period of the waves in seconds, L is the spacing between wave peaks, and t is current time. Assume that the wave period is 4 s and the spacing between wave peaks is 12 m. Create an animation of this wave pattern for a region of -300 m < x < 300 m and -300 m <y < 300 m over a time of 0 < t < 20 s using erase and redraw.

This is the full actual question and i too dint find y in the equation, so i tried solving it for x and t so if anyone could do that ...?

And this ques is from MATLAB for Engineers 5th edition (ques no. 13.10) and if there is any mistake in the ques above plz do comment so that i can solve this ques

BALAJI KARTHEEK 2020-4-20

where is y in h(x,y,t)= A cos (2pi*t/T - 2pi*x/L

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Answer 1

BALAJI KARTHEEK 2020-4-20

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/519239-how-to-create-animation-of-wave-pattern-h-x-y-t-acos-2-pi-t-t-2-pi-x-l-with-t-4s-l-12m-300#answer_427084

在 MATLAB Online 中打开

clc
clear all
A=1;
T=4;
L=12;
syms t
t=0:(((300-(-300))/10)^-1)*20:20;
x=-300:10:300;
H=A*cos(2*pi*t/(T)-2*pi*x/(L));
for k=1:length(t)
    plot(t(k),H(k),'*')
    axis([-0.5 20.5 -2 2])
    pause(0.25)
end

To evaluate H t and x array length must be same, and rest all wil be same... u will get the graph as a dynamic one, varying with respect to time thats it,,

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Aagam Jain 2020-4-20

how and why did u write the equation of time in that form.?

BALAJI KARTHEEK 2020-4-20

i just keeping the length of the time equal to the length of the x

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Answer 2

darova 2020-4-20

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https://ww2.mathworks.cn/matlabcentral/answers/519239-how-to-create-animation-of-wave-pattern-h-x-y-t-acos-2-pi-t-t-2-pi-x-l-with-t-4s-l-12m-300#answer_427082

Here is the solution

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How to create animation of wave pattern h(x,y,t) = Acos(2pit/T-2pix/L) with T=4s , L=12m, -300<=x<=300, -300<=y<=300 , 0<=t<=20

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How to create animation of wave pattern h(x,y,t) = Acos(2*pi*t/T-2*pi*x/L) with T=4s , L=12m, -300<=x<=300, -300<=y<=300 , 0<=t<=20

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How to create animation of wave pattern h(x,y,t) = Acos(2pit/T-2pix/L) with T=4s , L=12m, -300<=x<=300, -300<=y<=300 , 0<=t<=20

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