Question
Thu January 19, 2012 By:
 

please tell me about the derivation of terminal velocity of a liquid. please as soon as possible

Expert Reply
Fri January 20, 2012

A free-falling object achieves its terminal velocity when the downward force of gravity (FG) equals the upward force of drag (Fd). This causes the net force on the object to be zero, resulting in an acceleration of zero

Mathematically, defining down to be positive, the net force acting on an object falling near the surface of Earth is (according to the drag equation):

At equilibrium, the net force is zero (F = 0);

Solving for v yields

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