When I graph the plane on its own, it graphs all the way to 0.05, which is what I want. However, when the paraboloid is graphed, the plane stops at the intersection.
RPM = 25;R = .05;h0 = .15;%define constants and change units
omega = RPM*2*pi/60; %[rad/s]
g = 9.807; %[m/s^2]
r = linspace(0,R); %[m]
phi = linspace(0,2*pi); %[rad]
%PLOT
[r,phi] = meshgrid(r,phi);[X,Y] = meshgrid(linspace(0,R),linspace(0,R));%equation of surface
z = h0 - omega^2/(2*g)*(R^2/2 - r.^2); %[m]]
plane = h0*ones(100,100);surf(X,Y,plane);hold onsurf(r.*cos(phi),r.*sin(phi),z);
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