Water Tower
Consider a small city’s water tower has its storage tank open to the atmosphere with an attached 1 m^2 diameter connector pipe. What is the gauge pressure (kPa) at the outlet if the exit valve is closed? Assume the pipe and tank are completely full of water.
Expand Hint
Note the density of water is
$$1,000\:kg/m^3$$
.
Hint 2
The pressure field in a static liquid:
$$$P=\rho gh=\gamma h$$$
where
$$\rho$$
is the density,
$$g$$
is the acceleration due to gravity,
$$h$$
is the height, and
$$\gamma$$
is the fluid’s specific weight.
The pressure field in a static liquid:
$$$P=\rho gh=\gamma h$$$
where
$$\rho$$
is the density,
$$g$$
is the acceleration due to gravity,
$$h$$
is the height, and
$$\gamma$$
is the fluid’s specific weight. Since the density of water is
$$1,000\:kg/m^3$$
:
$$$P=(1,000\frac{kg}{m^3})(9.8\frac{m}{s^2})(18m)=176,400\frac{kg}{m\cdot s^2}=176.4\:kPa$$$
An alternative way to solve for pressure is by using the specific weight of water:
$$$P=(9,800\frac{kg}{m^2\cdot s^2})(18m)=176,400\frac{kg}{m\cdot s^2}=176.4\:kPa$$$
176.4 kPa
Time Analysis
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