How to plug in algebraic equation and solution for it?

what would be the code for this equation and how do I solve for t in this case?

[Meet Koradia]

something like this

Answer 1

[Chunru]

It seems that the equation you give has no soltion.

f = @(t) 3.7 *( 1 + 4.1*.006/170*(3.7/180)^(2/3) * nthroot(t.^5, 3)).^-1.5;
fplot(f, [-1000 1000]); grid on

fsolve(f, 5000 )

No solution found.

fsolve stopped because the problem appears regular as measured by the gradient,
but the vector of function values is not near zero as measured by the
value of the function tolerance.

ans = 5.4062e+03

[Meet Koradia]

Thank for helping but I dont need to plot just want to solve for t and get an excat value for t

[Meet Koradia]

=z

[Chunru]

What is the value of z?

[Chunru]

z= 10;
f = @(t) 3.7 *( 1 + 4.1*.006/170*(3.7/180)^(2/3) * nthroot(t.^5, 3)).^-1.5 - z;
%fplot(f, [-1000 1000]); grid on
fsolve(f, -100 )

Equation solved.

fsolve completed because the vector of function values is near zero
as measured by the value of the function tolerance, and
the problem appears regular as measured by the gradient.

ans = -616.2730