Drag. To see why golf balls are rough, estimate the terminal speed of a golf ball falling through atmospheric air if D = 0.05 m, M = 0.05 kg, for two cases: (a) a normal golf ball; (b) a smooth ball; use drag data form fig 9.18. A bit of trial and error - guess CD & check. Verify your CD guess and iterate once if necessary. Show any iteration result clearly. State if the BL is laminar or turbulent for each case.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Assume Patm = 10^5, Pa = 14.7 psi ; ρwater ~ 1000 kg/m3 ; ρair ~ 1.2 kg/m3 ; μwater ~ 10^-3 N•s/m2 ; μair ~ 2 x 10^-5 N•s/m2 ; Vwater ~ 10^-6 m2 /s ; Vair ~ 1.67 x 10^-5 m2 /s ; g = 9.8 m/s^2 .; 1 m/s = 2.24 mph ; 1lbf = 4.45 N ; 1 m^3 = 264 gallons

5. Drag. To see why golf balls are rough, estimate the terminal speed of a golf ball falling through atmospheric
air if D = 0.05 m, M = 0.05 kg, for two cases: (a) a normal golf ball; (b) a smooth ball; use drag data form
fig 9.18. A bit of trial and error - guess CD & check. Verify your CD guess and iterate once if necessary.
Show any iteration result clearly. State if the BL is laminar or turbulent for each case.
Ans OM: (a) Vt = 10¹ m/s; (b) Vt = 10¹ m/s
Transcribed Image Text:5. Drag. To see why golf balls are rough, estimate the terminal speed of a golf ball falling through atmospheric air if D = 0.05 m, M = 0.05 kg, for two cases: (a) a normal golf ball; (b) a smooth ball; use drag data form fig 9.18. A bit of trial and error - guess CD & check. Verify your CD guess and iterate once if necessary. Show any iteration result clearly. State if the BL is laminar or turbulent for each case. Ans OM: (a) Vt = 10¹ m/s; (b) Vt = 10¹ m/s
Zend
CD=
0.6
0.5
0.4
0.3
0.2
0.1
0
Golf
ball
w|0
D
= 1.25 x 10-2.
E
D
4x104
= 5x10-3
D
=1.5 × 10-³
105
Re =
داس
D
= relative roughness
4 x 105
UD
V
E
D
= 0 (smooth)
106
FIGURE 9.18 The effect of surface roughness on the drag coefficient of a sphere
in the Reynolds number range for which the laminar boundary layer becomes turbulent (Ref. 4).
4 x 106
Transcribed Image Text:Zend CD= 0.6 0.5 0.4 0.3 0.2 0.1 0 Golf ball w|0 D = 1.25 x 10-2. E D 4x104 = 5x10-3 D =1.5 × 10-³ 105 Re = داس D = relative roughness 4 x 105 UD V E D = 0 (smooth) 106 FIGURE 9.18 The effect of surface roughness on the drag coefficient of a sphere in the Reynolds number range for which the laminar boundary layer becomes turbulent (Ref. 4). 4 x 106
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