Question

Calculate the speed (in m/s) a spherical rain drop would achieve
falling from 4.10 km in the absence of air drag and with air drag.
Take the size across of the drop to be 5 mm, the density to be 1.00
? 10^{3} kg/m^{3}, and the surface area to be
*?**r*^{2}. (Assume the density of air is
1.21 kg/m^{3}.)

(a)in the absence of air drag.

(b) with air drag.

Answer #1

Calculate the speed (in m/s) a spherical rain drop would achieve
falling from 2.10 km in the absence of air drag and with air drag.
Take the size across of the drop to be 9 mm, the density to be 1.00
✕ 103 kg/m3, and the surface area to be
πr2. (Assume the density of air is
1.21 kg/m3.)
(a)
in the absence of air drag
202.985 m/s (correct)
(b)
with air drag
9.8687 m/s (incorrect)

Calculate the speed a spherical rain drop would achieve falling
from 4.2 km (a) in the absence of air drag (b) with air drag. Take
the size across of the drop to be 4.2 mm, the density to be
1.00×103??/?3 , and the surface area to be ??2 . Additionaly: the
density of air is 1.21??/?3 , and the drag coefficient for the
spherical drop is 0.45.
a) In the absence of air drag
b) with air drag

Calculate the velocity a spherical rain drop would achieve
falling (taking downward as positive) from 4.2 km in the following
situations.
h = 4.2 km
l = 4.8 mm
d = 1.23 kg/m3
a Calculate the velocity in the absence of air drag
in m/s.
b Calculate the velocity with air drag in m/s. Take
the size across of the drop to be 4.8 mm, the density of air to be
1.23 kg/m3, the density of water to be 1000
kg/m3,...

A spherical raindrop 3.1 mm in diameter falls through a vertical
distance of 3550 m. Take the cross-sectional area of a raindrop =
πr2, 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 3550 m in the absence of air drag.
(b) What would its speed be at the end of 3550 m when there is
air drag?

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