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Terminal Velocity of a Raindrop · BPhO 2020 #7
Physics · fluid-mechanics · newtons-laws
Problem
A spherical raindrop of radius
r
=
1.0
mm
r = 1.0\;\text{mm}
r
=
1.0
mm
falls through air. Estimate its terminal velocity using the drag force
F
D
=
1
2
C
D
ρ
air
A
v
2
F_D = \frac{1}{2}C_D \rho_{\text{air}} A v^2
F
D
=
2
1
C
D
ρ
air
A
v
2
with
C
D
=
0.5
C_D = 0.5
C
D
=
0.5
,
ρ
air
=
1.2
kg/m
3
\rho_{\text{air}} = 1.2\;\text{kg/m}^3
ρ
air
=
1.2
kg/m
3
,
ρ
w
=
1000
kg/m
3
\rho_w = 1000\;\text{kg/m}^3
ρ
w
=
1000
kg/m
3
,
g
=
9.8
m/s
2
g = 9.8\;\text{m/s}^2
g
=
9.8
m/s
2
.
Related theory
fluid-mechanics
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