Physics Help Forum Vav = 2v₁v₂ / (v₁ + v₂) Could you simplify it please?

 Kinematics and Dynamics Kinematics and Dynamics Physics Help Forum

 Jul 18th 2018, 09:17 PM #1 Junior Member   Join Date: Jul 2018 Posts: 14 Vav = 2v₁v₂ / (v₁ + v₂) Could you simplify it please? Vav = 2v₁v₂ / (v₁ + v₂) Could you simplify it please?
 Jul 19th 2018, 01:39 AM #2 Senior Member     Join Date: Jun 2016 Location: England Posts: 850 I don't think you have given enough information! What are v1 and v2? What is Vav? Is this a general mathematical expression? or is it representing a particular physical phenomena? __________________ ~\o/~
 Jul 19th 2018, 01:44 PM #3 Forum Admin     Join Date: Apr 2008 Location: On the dance floor, baby! Posts: 2,626 Are you perhaps trying to solve it for v2? $\displaystyle V_{ave} = \frac{2 v_1 v_2}{v_1 + v_2}$ $\displaystyle (v_1 + v_2) V_{ave} = 2 v_1 v_2$ $\displaystyle v_1 V_{ave} + v_2 V_{ave} = 2 v_1 v_2$ $\displaystyle v_2 V_{ave} - 2v_1 v_2 = - v_1 V_{ave}$ $\displaystyle v_2 ( V_{ave} - 2 v_1 ) = - v_1 V_{ave}$ $\displaystyle v_2 = \frac{- v_1 V_{ave} }{ V_{ave} - 2 v_1}$ or $\displaystyle v_2 = \frac{v_1 V_{ave} }{ 2 v_1 - V_{ave}}$ -Dan __________________ Do not meddle in the affairs of dragons for you are crunchy and taste good with ketchup. See the forum rules here.

 Tags 2v₁v₂, 2v₁v₂, simplify, v₁, v₂, v₁, v₂, vav

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