Algebra Help for Bernoulli's Equation

[NRasmus1]

Solve for v1

P1 + (1/2)ρv1^2 = P2 + (1/2)(v1r1^s/r2^2)^2

I am attempting to solve this equation for v1, but I am getting stuck on some algebra. How do I solve for v1? I can't figure out how to do it without eliminating v1 altogether because I have a v1^2 on both sides of the equation.

 

[jedishrfu]

No on the left you have v1^s and on the right you v1^2 so you still have v1 around to solve for.

 

[NRasmus1]

I just caught that! I had intended v1^s on the left side to be v1^2

 

[jedishrfu]

so you're going to get something like

(P1 - P2)

= (1/2v1^2 * r1^2 / r2^2 - 1/2 * p * v1^2)

right?

so then factor out 1/2 and v1^2 then solve for v1

 

[NRasmus1]

I feel like a moron. Thank you very much.