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Raindrops fall at a much lower terminal velocity, and a mist of tiny oil droplets settles at an exceedingly small terminal velocity. The raindrop then falls with a constant velocity.

Finally, when viscous force and the buoyant force is equal to the force due to gravity, the net force becomes zero and so does the acceleration.

Stokes law derivation When a small spherical body falls freely through a viscous medium, three forces act on it. F D ∝ V. The drag force F on a sphere of radius r moving slowly with speed v through a fluid of viscosity η is given by stokes law as under: F = 6πηrV. It is observed when the sum of drag force and buoyancy is equal to the downward gravity force that is acting on the object. Terminal velocity: It is maximum constant velocity acquired by the body while falling freely in a viscous medium. Terminal velocity derivation Posted on October 21, 2017 by philosophicalmath In physics, we often have to simplify the system we are working with simply because it is impossible to take all the relevant factors into account. Thus, in equilibrium, the terminal velocity v … (ii) Upward thrust due to buoyancy equal to weight of liquid displaced. Terminal Velocity Derivation Terminal velocity is defined as the highest velocity attained by an object that is falling through a fluid. Stokes law “If drag force is directly proportional to velocity is called stokes law”. At high speeds the force is no longer simply proportional to speed. Terminal velocity, steady speed achieved by an object freely falling through a gas or liquid.A typical terminal velocity for a parachutist who delays opening the chute is about 150 miles (240 kilometres) per hour. As the velocity increases, the retarding force also increases.

* Terminal velocity is derived from the total drag force Fd * Force Fd is the quantity which describes the effect of force acting opposite relative to the objects velocity. (i) Weight of the body acting vertically downwards.
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