Solution of radical equation

I am solving the function but the values are not correct. Is there any problem with the coding?

%% Calculation_of_speed_ratio

A = 16000; % N

B = 125.66; % mm^2

for cycles = 10:10

t=cycles*0.1

syms f

fn = (0.044*A/B)*2.5*pi/3*((6.75*f/sqrt(45.5+f^2))+(32*f/sqrt(64+f^2))+(9.25*f/sqrt(85.5+f^2))) == 1216.7*sin(62.838*t);

x= vpasolve(fn,f)

plot(t,x,"o")

hold on

end

I have tried to set an interval but it is not giving solution e.g. [5,180]. It is returning an empty solution.

Thank you for the help in advance.

Regards

Answer 1

[Walter Roberson]

We would not know if the code is correct as you did not show us the equations. We would, for example, not know whether the sin() term is meant to be dealing with degrees instead of radians.

If you

G=lhs(fn)-rhs(fn)
fplot(G, [0.01 180])

Then you will see that the equation is continuous monotonic and so has only one solution, which is around 0.08. it is therefore not a matter of vpasolve missing a root: vpasolve is giving back the only positive root.

Answer 2

[Santosh Fatale]

Hi Muhammad,

I tried out the code shared by you and it looks like you need to declare variable f as Symbolic variable. You can do it in the same line where you are declairing variable "n_b".

[Muhammad Hassaan Bin Tariq]

Hi @Santosh Fatale,

I missed the declaration while copying the code. I have declared the variable as I have edited the code in the question now.

Regards