A water storage tank is 5.0 m deep, and has a radius of 2.0 m. It is filled to t

Question

A water storage tank is 5.0 m deep, and has a radius of 2.0 m. It is filled to the very top with water. (Assume normal atmospheric pressure)

What is the gauge pressure at the bottom of the tank?

What is the absolute pressure at the bottom of the tank?

From these last two questions what should the proper units be.

If a small hole (radius 2.0 mm) is punctured into the tank (described in question #4) at a distance of 0.75 m above its base, at what rate will water flow out of this hole? (In other words, what is the speed of the water as it leaves the hole? Do NOT calculate the volume rate of flow.

Explanation / Answer

(a)

P = rho g h

= (1000 kg / m3) (9.8 m / s2) (5.00)

= 49000 N/m^2 ~ Pascal if you want the answer in Pascals,

(b)

P - Po = rho g h

Po is the atmospheric pressure = 101325 Pa

P = Po + rho g h

= (101325) + (49000)

= ........... pa

Pabsolute = Patm + Pgauge

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