The acceleration of a body when falling through viscousmedium is:
Correct answer: D. a = g - 6πηrV/m
- A. 0
- B. g
- C. 6πηrV - mg
- D. a = g - 6πηrV/m
Explanation
Net force = drag − weight = 6π η r V − m g; acceleration a = F = (6π η r V)/m − g. Thus option D expresses the net acceleration sign convention as given.
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Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.
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