Water Height
Consider a toilet has its water storage tank open to the atmosphere with an attached 0.25 m^2 diameter connector pipe. With a closed exit valve, the gauge pressure reads 7.5 kPa. What is the distance (meters) between the water line in the tank reservoir and the exit valve in the toilet bowl? 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
$$1,000\:kg/m^3$$
:
$$$7,500Pa=(1,000\frac{kg}{m^3})(9.8\frac{m}{s^2})(h)$$$
Solving for height:
$$$h=7,500\frac{kg}{m\cdot s^2}\times \frac{1(m^2)(s^2)}{9,800kg}=0.77\:m$$$
0.77 m
Time Analysis
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