a small spherical ball is gently released from rest in a cylindrical tank comple

Question

a small spherical ball is gently released from rest in a cylindrical tank completely filled with glycerine. the ball begins to quickly move downward in a straight line under the influence of its own weight. The acceleration of the ball can be expressed as a=0.025g-0.01v. 1)How high should the tank be to ensure the ball reaches terminal velocity? 2)Use the number twice as big from the previous question for height and calculate how much time it takes for the ball to reach the bottom of the tank. Thanks!

Explanation / Answer

Drag Force = Cd ½?v²A Cd = drag coefficient ? = mass density v = velocity A = cross-sectional area Terminal velocity is reached when the drag force balances the weight... g = The acceleration of gravity = 9.81 m/s² Cd ½?v²A = mg A = pr²

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