PPRuNe Forums - View Single Post - Dimensional Analysis on Lift Equation not working out?
Old 22nd Oct 2018, 19:13
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infrequentflyer789
 
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Originally Posted by aviationluver
Hello,

I am showing that the equation for lift on a wing is
L=1/2 Cl (air density) (Area of Wing) Velocity^2

However, the dimensions aren't working out.

L is kg ; Cl is dimensionless; Air density is kg/m^3; Area is m^2; Velocity is m/s

If you work the dimensions it does not work out. You get L in kg and kg m on the other side.

What am I missing?

Thanks.
First you are missing (1/s)^2 from the velocity term, this gives kg*m /s^2

Second, you are missing that lift is a force so it is in Newtons which is also (e.g. from F=ma) = kg*m/s^2

Sorry you didn't discover new physics, maybe next time
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