A spherical raindrop 2.9 mm in diameter falls through a vertical distance of 3800 m. Take the cross-sectional area of a raindrop = r², drag coefficient = 0.45, density of water to be 1000 kg/m³, and density of air to be 1.2 kg/m³. (a) Calculate the speed a spherical raindrop would achieve falling from 3800 m in the absence of air drag. m/s (b) What would its speed be at the end of 3800 m when there is air drag? (Note that the raindrop will reach terminal velocity after falling about 30 m.) m/s 12 Tutorial TV +

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.63P
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A spherical raindrop 2.9 mm in diameter falls through a vertical distance of 3800 m. Take the cross-sectional area of a
raindrop = r², drag coefficient = 0.45, density of water to be 1000 kg/m³, and density of air to be 1.2 kg/m³.
(a) Calculate the speed a spherical raindrop would achieve falling from 3800 m in the absence of air drag.
m/s
(b) What would its speed be at the end of 3800 m when there is air drag? (Note that the raindrop will reach
terminal velocity after falling about 30 m.
m/s
129 Tutorial
TV
+
Transcribed Image Text:A spherical raindrop 2.9 mm in diameter falls through a vertical distance of 3800 m. Take the cross-sectional area of a raindrop = r², drag coefficient = 0.45, density of water to be 1000 kg/m³, and density of air to be 1.2 kg/m³. (a) Calculate the speed a spherical raindrop would achieve falling from 3800 m in the absence of air drag. m/s (b) What would its speed be at the end of 3800 m when there is air drag? (Note that the raindrop will reach terminal velocity after falling about 30 m. m/s 129 Tutorial TV +
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