How Is Static Thrust Calculated for Quad Rotor UAVs?

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SUMMARY

The calculation of static thrust for quad rotor UAVs is defined by the equation T = (c_T/c_P) * (P/(nD)), where T represents thrust, P is power, D is propeller diameter, and n is rotation speed. The coefficients c_P and c_T are derived from the equations c_P = P/(ρn³D⁵) and c_T = T/(ρn²D⁴), respectively. In these equations, ρ denotes the fluid density in which the rotor operates. Understanding these parameters is crucial for accurately determining the performance of quad rotor UAVs.

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rubai
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I want to make a quad rotor UAV. i studied a lot but i did not find how static thrust is being calculated. In physics forum i have found an equation which is given below but i can not understand what is 'frac' and 'rho'.
Equation is:
T=\frac{c_T}{c_p}\frac{P}{nD}

Where:
P = power (ft-lb/s or kWW)
T = Thrust (lb or kN)
D = Prop Diameter (ft or m)
n = rotation speed (rev/s)
c_P = Power coefficient
c_T = Thrust coefficient

And:

c_P=\frac{P}{\rho n^3 D^5}

c_T = \frac{T}{\rho n^2 D^4}
 
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\frac is badly formed latex. If you provide a link to the earlier post, that may help someone interpret the formulas. rho is probably the density of the fluid in which the rotor or propeller is acting.
 

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