Graph of time against angle for multiple values of theta

The question is: Use MATLAB to display in one figure the effects of the angle ? on ? for h0 = 30 and h0 = 40. Assume ? /16<?<7?/16

? =((h0.^(5/2)).*2.*(tan((pi./2)-theta)).^2)./(5*a.^2.*sqrt(2*g)) where ? is time in seconds

h0(cm), a(cm) and g(cm/s^2) are constants, theta is on the x axis and tau is on the y axis. The range is pi/16 to 7pi/16 with increments of pi/16 (so 7 curves)

I would like to plot all 14 curves on the same figure (7 for when h0=30 and 7 for when h0=40) but I am unsure how to do this. Even for one value of h0, the graph is empty when I run the code.

Thank you.

h0=30;
a=1;
g=9.81*100;
    for theta=pi/16:pi/16:7.*pi/16
       tau=((h0.^(5/2)).*2.*(tan((pi./2)-theta)).^2)./(5*a.^2.*sqrt(2*g));   
    end
plot(theta,tau)

Answer 1

[darova]

You'll have only 2 curves:

a=1;
g=9.81*100;
theta = linspace(1,7,20)*pi/16;
hold on
for h0 = [30 40]
   tau = ((h0.^(5/2)).*2.*(tan((pi./2)-theta)).^2)./(5*a.^2.*sqrt(2*g));   
   plot(theta,tau)
end
hold off

[Aya Souleimani]

Thank you very much for your help

The 2 graphs above are for theta=pi/16 for when h0=30 and h0=40, right?

Do you know I could get more than 2?

[darova]

• Do you know I could get more than 2?

You can't

Answer 2

[Aya Souleimani]

Thank you for your help