Designing a Windmill for Maximum Power

AI Thread Summary
To design a windmill for maximum power output in a competition, focus on optimizing the blade design and orientation on the rotor, as all participants will use the same gears and dynamo. PVC pipes are being considered as a material for the blades due to their availability and lightweight properties. Researching modern wind turbine designs can provide valuable insights into effective blade shapes and angles. The windmill will be tested using a table fan to simulate wind conditions. Prioritizing aerodynamic efficiency and material strength will be crucial for achieving the best performance.
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Homework Statement


I need to design a windmill in a competition that can produce the maximum power given every participant has the same gears and dynamo. so basically we have to concentrate on the blade's design. What is the best design and its orientation on the rotor. Also what type of material should be useful to make such blade. the windmill will be tested with a table fan.


Homework Equations





The Attempt at a Solution


I m thinking of using PVC pipes to make the foil. For the shape and orientation I m quite blur.
 
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I would take a careful look at the design of modern wind turbines.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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