Calculate the velocity a spherical rain drop would achieve falling from 5.00 km: (a) in the absence of air drag: Express to 3 significant figures. velocity of rain drop in the absence of air drag = 313 m/s

Elements Of Electromagnetics
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Drag Force on a Raindrop

1. Calculate the velocity a spherical rain drop would achieve falling from 5.00 km:
(a) in the absence of air drag:
Express to 3 significant figures.
velocity of rain drop in the absence of air drag
= 313
(b) with air drag. Assume that the drop has reached terminal velocity.
Express to 3 significant figures.
terminal velocity of rain drop = 9.78
m/s
m/s
Take the size across of the drop to be 4.00 mm, the density of water to be 1.00×10³ kg/m³, the cross-
sectional area of the drop to be tr² where r is the radius of the drop, and the drag coefficient C to be
0.45. Take the density of air to be 1.21 kg/m³.
Express to 3 significant figures.
(c) Compare the answer in (b) to the terminal velocity for a typical droplet in a cloud . Take the size of
the droplet to be 20.0 μm.
Terminal speed of a droplet in a cloud =
✔m/s.
Transcribed Image Text:1. Calculate the velocity a spherical rain drop would achieve falling from 5.00 km: (a) in the absence of air drag: Express to 3 significant figures. velocity of rain drop in the absence of air drag = 313 (b) with air drag. Assume that the drop has reached terminal velocity. Express to 3 significant figures. terminal velocity of rain drop = 9.78 m/s m/s Take the size across of the drop to be 4.00 mm, the density of water to be 1.00×10³ kg/m³, the cross- sectional area of the drop to be tr² where r is the radius of the drop, and the drag coefficient C to be 0.45. Take the density of air to be 1.21 kg/m³. Express to 3 significant figures. (c) Compare the answer in (b) to the terminal velocity for a typical droplet in a cloud . Take the size of the droplet to be 20.0 μm. Terminal speed of a droplet in a cloud = ✔m/s.
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