Can anyone confirm this equation? Prop. Thrust

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The discussion centers on the confusion surrounding the calculation of propeller thrust, highlighting discrepancies between results obtained from a NASA-derived formula and various online calculators. The proposed thrust equation involves parameters like density, propeller radius, RPM, and an efficiency coefficient, yet users report significant variations in outcomes. A secondary equation is also suggested, relating thrust to engine power, density, and propeller area. Participants seek clarification on which formula yields accurate results for propeller thrust. The conversation underscores the need for reliable formulas and consistent calculations in propeller thrust assessments.
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can anyone confirm this equation?? Prop. Thrust

there are many websites that calculate propeller Thrust, and they never show any formulas for it... and i somehow manage to find the formula from NASA website, but when i compare the result with each other, i get totally different numbers...

Thrust = (density)(pi)(radius of prop)^2(2)[(2Vk(RPM) + k(RPM^2)]

where k is coefficient of efficiency of prop.
V = speed, V=0 when static

if i just work with the units only, i get the force unit no problem, but the result is way off from the number from websites..
anyone know which one is correct?
 
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You might want to try this one:

T=P_{io}^{2/3}(2 \rho A)^{1/3} where

T = thrust
P_{io} = (induced) power of the engine
\rho = density
A = propeller area
 
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