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A spherical raindrop 2.7 mm in diameter falls through a vertical distance of 5000 m. Take...

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Physics

A spherical raindrop 2.7 mm in diameter falls through avertical distance of 5000 m. Take the cross-sectional area of araindrop = πr2, drag coefficient =0.45, density of water to be 1000 kg/m3,and density ofair to be 1.2 kg/m3.

(a) Calculate the speed a spherical raindrop wouldachieve falling from 5000 m in the absence of air drag.
313.04 m/s (correct)

(b) What would its speed be at the end of 5000 m when there is airdrag? (Note that the raindrop will reach terminal velocity afterfalling about 30 m.)
  
_______ m/s

Answer & Explanation Solved by verified expert
4.1 Ratings (868 Votes)
Diameter of spherical raindrop d 27 mm 27 x103 mRadius of spherical raindrop r d2 135 x 103mVertical distance of fall H 5000 mCross sectional area of raindrop A r2A 135x1032A 572 x 106    See Answer
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