Consider the following cylindrical tank, open to ZA the atmosphere. The tank has

Question

Consider the following cylindrical tank, open to ZA the atmosphere. The tank has a diameter Da=2m and there is an orifice of diameter Db=14mm. The distance between the leak and free surface is H=2.5m. ^ First assume the orifice is closed by a cap of same diameter, what is the pressure force exerted by the water on the cap? Assume now that the cap is gone, what is the flow rate Q at the orifice? If we assume that this flow rate is constant over time, how long it would take to completely empty the tank? Is constant Q a realistic hypothesis?

Explanation / Answer

I think that it is this

assume that the liquid is water with a density of 1000 kg/m^3

first the preassure = P= density x heigth x gravity = 9.81 x 1000 x 2.5 = 24525 Pa

know the velocity is

V= (2gh) ^(1/2) = (2x9.81x2.5)^(1/2) = 7 m/s

the flow is know

Q=v A= 7 x (1/4) x pi x (14x10^-3)^2 = 0.001078 m^3/s

hope that this can help you, good luck!1

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