Thrust To Power
The power needed to generate thrust and the force of the thrust can be related in a non-linear way. In general, . The proportionality constant varies, and can be solved for a uniform flow:
Note that these calculations are only valid for when the incoming air is accelerated from a standstill - for example when hovering.
The inverse of the proportionality constant, the "efficiency" of an otherwise-perfect thruster, is proportional to the area of the cross section of the propelled volume of fluid and the density of the fluid . This helps to explain why moving through water is easier and why aircraft have much larger propellers than watercraft do.
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