Help with solving three equations with 3 unknowns

[mechie-diva]

I have the three following equations in the file attached:


1. 70000000=(((R1^3)*4/3)-((R2^3)*4/3 "))(100*cosα))/(2(R1 -R2)(pi/2)(R1^4-R2^4) + 100sinα/ ((pi/4)(R1^4-R2^4))

2. 120000000=((100*sinα))/(R1^2-R2^2)+ (100*cosα*R1 )/((pi/4)(R1^4-R2^4))

3. m=100(pi)(R1^2-R2^2 )(cosα)* R1

I know it looks like we have four unknowns with three equations, but I am going to assume the value of R1. Going forward, I will have the following unknowns:
α, R2, m

I tried solving this using Maple, but unfortunately all my values were 0. I am pretty sure I wrote it right. Otherwise, is there any other software I can use to solve this? Excel/Matlab?

If so, which functions should I use? Are there any constraints that I will have to define?

Thank you in advance!

PS - I attached a picture of the formulas!

 

[DrBwts]

Solve (1) & (2) independently as you have 2 equations with 2 unknowns then substitute into (3)

As you know R1 & as long as R1 does NOT = R2 then I'd try multiplying (1) & (2) through by (pi/4)(R1^4-R2^4)

 

[Lisa]

If you wrote it like here, you made mistake. For what you use double quotes?

 

[Lisa]

And you can use www.wolframalpha.com , if you want.

 

[CellCoree]

I would recommend using a mathematical software such as Maple or Mathematica to solve these equations. These software have built-in functions for solving systems of equations, and can handle more complex equations than Excel or Matlab. Additionally, they have the ability to provide numerical solutions and can handle constraints if needed.

In order to solve these equations, you will need to define the values of R1 and m. Once you have defined these values, you can use the built-in functions of Maple or Mathematica to solve for the remaining unknowns α and R2. The constraints, if any, will depend on the specific problem that you are trying to solve and should be carefully considered before defining them in the software.

It is also important to double-check your equations and make sure they are written correctly before attempting to solve them. If you are still having trouble getting accurate solutions, it may be helpful to consult with a colleague or seek assistance from a mathematics expert. Good luck with your equations!