It is not perfectly clear to me what you want, but here is a parameterization that sounds close to what I think you mean:
t = 30:0.1:100;
az = 0.1;
z = az*t;
r0 = 10000;
ar = -1;
r = r0 + r0*t;
at = 0.05;
theta = at*t;
x = r .* cos(t);
y = r .* sin(t);
figure
plot3(x,y,z,'.-')
Best Answer