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At 2:06 Since the equation is Aerodynamic force= Constant xv^2 why is 100 divided in the constant?
Hi Steven, I'll see if I can clear up the math a little bit.
At the start of the video Kyle mentions the equation for Force: F=MA we will be using this equation rearranged at 2:06 and with the names tweaked to suit aerodynamics but the equation is essentially the same.
If we have a wing that we know makes 100N at 50m/s^2 we can rearrange the Force Equation to find the Mass or in this case we call it the Constant.
Force = 100N
Acceleration = 50m/s^2
Mass (Constant) = Unknown
So we rearrange the force equation to find M (Constant) of this known wing:
M = F/A
Constant = F/A
Constant = 100N/(50m/s*50m/s)
Constant = 0.04
Kyle then uses this constant in the equation at 2:06 to calculate what the Force would be at 150m/s
F=MA
Aerodynamic Force = Constant * Velocity^2
Aerodynamic Force = 0.04 * 150^2
Aerodynamic Force = 900N
We do breeze over the math and do it all in one go so I can understand how that was confusing, hopefully that makes it a little more clear and allows you to understand whats happening in the module.