Air Resistance
Air resistance, abbreviated as F_{a}, also called drag coefficient, is a force that opposes an object as it moves through the air. This force is dependant on the velocity, area and the drag coefficient. As the velocity increases, the force increases by a square. So if velocity doubles, the resistance increases by four (2^{2}).
Air Resistance formula 

\(\large{ F_a = k\;v^2 }\)  
Symbol  English  Metric 
\(\large{ F_a }\) = force of air resistance or drag  \(\large{ lbf }\)  \(\large{N}\) 
\(\large{ k }\) = a constant that collects the effects of area, density, and drag  \(\large{\frac{lbm}{ft^3}}\)  \(\large{\frac{kg}{m^3}}\) 
\(\large{ v }\) = velocity of the moving object  \(\large{\frac{ft}{sec}}\)  \(\large{\frac{m}{s}}\) 
Air Resistance formula 

\(\large{ F_a = \frac{\rho \;C_d\; A}{2} \; v^2 }\)  
Symbol  English  Metric 
\(\large{ F_a }\) = force of air resistance or drag  \(\large{ lbf }\)  \(\large{N}\) 
\(\large{ A }\) = area crosssection of the object  \(\large{ ft }\)  \(\large{m}\) 
\(\large{ \rho }\) (Greek symbol rho) = atmospheric density  \(\large{\frac{lbm}{ft^3}}\)  \(\large{\frac{kg}{m^3}}\) 
\(\large{ C_d }\) = drag coefficient  \(\large{ dimensionless }\)  
\(\large{ v }\) = velocity of the moving object  \(\large{\frac{ft}{sec}}\)  \(\large{\frac{m}{s}}\) 
Air resistance calculator

Tags: Force Equations Air Equations