I've been trying to derive an equation for the work of air resistances. So far I've found the equation of force of air resistance (air) in terms of distance (d).
air(d)=(PACd(W-F))/(m+PACd)
where P,A,C,W,F,m are all constants; pressure of air, area, coefficient of drag, force of weight, force of friction, mass
To find area of the curve of this graphed equation (force of area resistance X distance) requires calculus and I've not been able to find the true equation of this area.
*Note: One complication is that the area should (or perhaps not?) be found from the origin to terminal velocity. Because the acceleration changes, the d at the first instance of terminal velocity (the upper limit) must be found using the previous equation. HOWEVER, solving for air resistance at terminal velocity is (W-F), which is the y-asymptote, so unless one wants to use a variable distance, which could work, in the integration, I'd allow subtracting .001 from (W-F), then to solve for the instantaneous distance for the upper limit.
Submitted January 06, 2016 at 01:20AM by kylebrain http://ift.tt/1PNwlVX
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