Question

a 10 m diameter cylindrical tank has two holes in it through which water drains out. one is a 13 cm diameter, sharp-edged circular orifice whose center is at 1.35 above the bottom of the tank, and the second is a 50 cm diameter sharp-edged circular orifice at 4.52 m. if the water level is the middle of the orifice, assume the flowrate of water through each orifice can be approximated as 0.61A2gh, where A is the cross-sectional area of the orifice, g is the acceleration due to gravity h is the height(head) of the liquid height above the center of the orifice and 0.61 is a dimensionless coefficient for flow out of a sharp-edged orifice. If the water level drops below the middle of the orifice, assume the flow rate of water through that hole is zero.Assume the tank is initially filled to h=20.0 m . the overall goal is to plot the water height vs. time over 3 hours of draining the tank. Complete the following elements to solve this problem.
write an equation for water height as a function of time h(t).

Answer 1

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