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 r² 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 = 2.41 x 10-20 m/s.

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Chapter2: Vectors
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Homework: 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
lich (Inited States)
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 r² 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 = 2.41 x 10
m/s
✔ m/s.
F FooHS
=
Transcribed Image Text:Homework: 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 lich (Inited States) 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 r² 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 = 2.41 x 10 m/s ✔ m/s. F FooHS =
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