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Problem 1.8 - Problem 1.8 Given[Difficulty 2 Small particle...

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Problem 1.8 [Difficulty: 2] Given: Small particle accelerating from rest in a fluid. Net weight is W, resisting force is F D = kV, where V is speed. Find: Distance required to reach 95 percent of terminal speed, V t . Solution: Consider the particle to be a system. Apply Newton's second law. Basic equation: F y = ma y Assumptions: 1. W is net weight. 2. Resisting force acts opposite to V. Then, dV W dV dt g dy F W kV = ma m V y y = = = or V dV k W g dy 1 V = At terminal speed, a y = 0 and W t k V V = = . Then g V dV
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