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Material Type: Exam; Professor: Feng; Class: Fluid Mechanics; Subject: Mechanical and Energy Engineering; University: University of North Texas; Term: Unknown 1989;
Typology: Exams
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Shear Stress and Shear Force : ߬ߤ ൌ ௗ௨ ௗ௬
Hydrostatic Forces on Plane Surfaces
Center of Pressure CP [with respect to the Center of Gravity (CG)]:
h A
p A
y h A
p A
x CG
xx CG
xx CP CG
xy CG
xy
Physical Properties of Water and Air: Water at 20 o^ C: Density, ρ=1000 kg/m3 = 1.94 slug/ft^3 Viscosity, μ=0.001 kg/m.s=2.09x10-5^ slug/ft.s
Constant Standard acceleration of gravity: g = 32. 174 ft / s^2 = 9. 81 m / s^2 , 0 12
3 xx =^ Ixy^ =
bL I
Conversion factors 1 m =3.28 ft; 1ft =12 inch; inch = 0.00254 m 1 liter =10 -3^ m3; 1 gallon=0.1337 ft 3 1 Pstd =14.696 psi=2116.2 psf=1013 kPa= 1.013 bar 1 psi = 1 lbf/in 2 = 144 lbf/ft 2 =144 psf.=68.93 kPa 1 hp = 550 ft-lbf/s=746 W; 1 lbf=4.448 N=16 oz; 1 N = 1 kg. m/s^2 1 mph = 1.4667 ft/s = 0.447 m/s.
Part 1: Short answer questions (80 pts)
velocity V (its magnitude is V) is: ܨௗ ൌ ଵ ଶ ܸߩ^
ௗ. Here^ ρ^ is the fluid density; A is the cross section area perpendicular to the flow velocity. The constant Cd is the so-called drag coefficient. Determine the dimensions for constant C.