Problem 1.12 - Problem 1.12 [Difficulty: 3] Given: Data on...

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Problem 1.12 [Difficulty: 3] mg kV t Given: Data on sphere and terminal speed. Find: Drag constant k , and time to reach 99% of terminal speed. Solution: Use given data; integrate equation of motion by separating variables. The data provided are: M11 0 13 × slug = V t 0.2 ft s = Newton's 2nd law for the general motion is (ignoring buoyancy effects) M dV dt Mg kV = (1) Newton's 2nd law for the steady state motion becomes (ignoring buoyancy effects) t = so k V t = k11 0 13 × slug 32.2 × ft s 2 s 0.2 ft × lbf s 2 slug ft × = k 1.61 10 11 × lbf s ft = dV g k M V dt = To find the time to reach 99% of
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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