3D PLOT please help

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francis
francis 2013-7-6
移动：DGM 2023-12-29
x=0:0.1:1000;
y=70:0.1:320;
z=4*pi*((0.032./(2.*pi.*8.31.*y)).^(3./2)).*
(x.^2).*exp((-0.032.*x.^2)./(2*8.31.*y));
plot3(x,y,z)
xlabel('Molecules Speed(m/s)'); ylabel('Temperature(K)'); zlabel('Probability');
this is the problem: Make a 3d plot of P(v)as a function of v and T for 0<v<1000 and 70<T<320
Molecules of gas in a container are moving at different speeds. Maxwell speed distribution law gives a probability P(v)
P(v)=4pi(M/(2piRT))^(3/2) * v^2 *e^((-Mv^2)/(2RT))
M=0.032
R= 8.31
this is the error I get
??? Error using ==> times
Matrix dimensions must agree.
Thanks for the feedback and help

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the cyclist
the cyclist 2013-7-6
To plot over a range of (x,y), you need the complete grid of coordinates. You can use the command meshgrid() to do this:
[xx,yy] = meshgrid(x,y);
Calculate z from xx and yy instead of x and y.
You probably want to decrease the granularity of your grid, otherwise you have way too many points to plot. It looked pretty good when I did
x=0:10:1000;
y=70:1:320;

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