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## Solving for distributed velocity based on system of equations

I have been searching so much for a simple formula to find the distributed velocity along a blade of helicopter but it seems that there are no other ways but to solve these equations which are all somehow related to each other.

Unfortunately I have never used MathCAD to calculate these kinda task and I don't even know if it can do it . Can someone please check the attached file and write me a way to calculate these complex equations and find the distribution of velocity ?

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## Re: Solving for distributed velocity based on system of equations

Thank you Valery Ochkov to taking your time and trying to help (Спасибо огромное) 😉

I already found the soultion for it

I just misunderstood the problem's initial conditions

There is only 1 unknown which is "fi" that can be solved based on system of equations and with a simple root command at the end ...

The solution is attached to this comment.

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## Re: Solving for distributed velocity based on system of equations

You have 6 equations with 6 unknowns?

We can solve this systen by the Solve block help of Mathcad Prime.

Can you write this system not of functions but of equations.

Some help for you (in Russian):

http://twt.mpei.ac.ru/ochkov/T-2012/chain.html

## Re: Solving for distributed velocity based on system of equations

I apology for not completing the MathCAD worksheet

the 4th equation equals to zero ( k*T(x,beta)-M*9.81 = 0 ) where M = 12000

and yes there are 1 variable (fi) and 5 unknowns functions (alpha , v , Cy , Cya , T )

yet it can't solve them , can you please check the attachement ? (rewrote in MathCAD 14)

for Cya - function

Cya - Constant.