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Graph of time against angle for multiple values of theta

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The question is: Use MATLAB to display in one figure the effects of the angle 𝜃 on 𝜏 for h0 = 30 and h0 = 40. Assume 𝜋 /16<𝜃<7𝜋/16
𝜏 =((h0.^(5/2)).*2.*(tan((pi./2)-theta)).^2)./(5*a.^2.*sqrt(2*g)) where 𝜏 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)

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Accepted Answer

darova
darova on 8 Jan 2020
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

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Aya Souleimani
Aya Souleimani on 8 Jan 2020
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?

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Aya Souleimani
Aya Souleimani on 8 Jan 2020
Thank you for your help

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