## Water Tower

Consider a small city’s water tower has its storage tank open to the atmosphere, and a 1 m^2 diameter connector pipe is attached. What is the gauge pressure at the outlet if the exit valve is closed? Assume the pipe and tank are completely full of water.

##
__
__**Hint**

**Hint**

Note the density of water is
$$1,000\:kg/m^3$$
.

##
__
__**Hint 2**

**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
$$1,000\:kg/m^3$$
:

$$$P=(1,000\frac{kg}{m^3})(9.8\frac{m}{s^2})(18m)=176,400\frac{kg}{m\cdot s^2}=176.4\:kPa$$$

Alternatively, we could solve for pressure 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