ceptimus
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alex caps said:Isn't the thrust equation $\pi$ r^2/t ?
if that is right, where does the 4 come from?
The area of a circle is \pi r^2 but \pi d^2/4 works out exactly the same (where d is the diameter, twice the radius).
The thrust formula for a propeller, if you assume that a pressure difference, p acts evenly over the area of the disc the propeller sweeps out is:
t = p * \pi d^2/4
We have been working in non-SI units of pounds (lb), inches and pounds per square inch (psi), so if we have a pressure difference of 1/50 psi and a propeller diameter of 5 inches, we get a thrust on the propeller disk of:
t = 0.02 * \pi * 5^2/4 \approx 0.393 lb
Remember the lifting force on the hovercraft is much more than this, as the pressure difference acts over the whole area of the hovercraft, not just the fan disk.