The sphere is dropped in gasoline at 20 ° C.Ignoring its acceleration phase, what will it's terminal (constant)fall velocity be, from Fig. ? 4Transition to turbulentboundary layer3Cylinder (two-dimensional)1Sphere10102103104105106107Reg =PUd(a)

Answered: 4 Transition to turbulent boundary…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The sphere is dropped in gasoline at 20 ° C.
Ignoring its acceleration phase, what will it's terminal (constant)
fall velocity be, from Fig. ?

4
Transition to turbulent
boundary layer
3
Cylinder (two-dimensional)
1
Sphere
10
102
103
104
105
106
107
Reg =
PUd
(a)

Expert Solution

Step 1

For gasoline at 20°C, take ρ ≈ 680 kg/m3 and μ ≈ 2.92E−4 kg/ms. For steel take ρ ≈ 7800 kg/m³. Then, in “terminal” velocity, the net weight equals the drag force:

$W_{n e t} = (ρ_{s t e e l} - ρ_{g a s o l i n e}) g \frac{π}{6} D^{3} = D r a g f o r c e$

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