Calculations based on Air resistance formula

Air Resistance

Air resistance is a force that is caused by air. The force acts in the opposite direction to an object moving through the air. Air resistance is the frictional force air exerts against a moving object. As an object moves, air resistance slows it down.

Air Resistance Formula

Air resistance depends on the density of the air, the area of the object, the velocity it is moving, and a "drag coefficient" that accounts for other properties of the object like the surface roughness, and turbulence. Air resistance is also called "drag", and the unit for this force is Newtons (N).

\[F = kv^{2} = \frac{\rho C_{D}A}{2}v^{2} \]

F = force due to air resistance, or drag (N)

k = a constant that collects the effects of density, drag, and area (kg/m)

v = the velocity of the moving object (m/s)

ρ = the density of the air the object moves through (kg/m3)

CD = the drag coefficient, includes hard-to-measure effects (unitless)

A = the area of the object the air presses on (m2)

TO calculate Velocity of the object use formula

\[v=\sqrt{\frac{2F}{\rho C_{D}A}} \]

Let value of  and value of CD  = C

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