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categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-13
السؤال
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A spherical tank has a circular orifice in its bottom through which the liquid flows
out. The flow rate through the hole can be estimated as
QV/dt-CA/2g
where Qout outflow (m³/s), V-volume of the water
remaining in the tank (m³), C-an empirically
derived coefficient, A = the area of the orifice (m²), g = the gravitational constant
(9.81 m/s²), and H- depth of liquid in the tank. Euler method to determine the
amount (volume) left in the tank. When all the water is about to flow out of the tank, the flow
rate goes to zero and remains in that state forever. Consider the tank diameter, D (2r)-2
m, initial height (H)=1.5 m, diameter of the orifice - 2.8 cm and C=0.55. Use
the time step size of 30 s. Take #=3.1416.
1) Plot V vs t curve and sketch the exact on the paper.
Enter the determined volume at 660 s.
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