## Fluid Flow

In the figure below, water is pumped through a 50 mm diameter pipe from a 8 m tall water tank that is opened to the atmosphere (Point A). The water leaves the pump at 3 m/s, and eventually exits the pipe into the atmosphere again at Point D. If the gauge pressure at Point B is 130 kPa, and 200 kPa at Point C, what is the pumping rate in m^3/min? Note the density of water is 1,000 kg/m^3.

##
__
__**Hint**

**Hint**

Flow rate:

$$$Q=Av$$$

where
$$A$$
is the cross sectional area of flow, and
$$v$$
is the average flow velocity.

##
__
__**Hint 2**

**Hint 2**

The cross sectional area of the pipe:

$$$A=\frac{\pi }{4}D^2$$$

where
$$D$$
is the pipe’s diameter.

The cross sectional area of the pipe:

$$$A=\frac{\pi }{4}D^2=\frac{\pi }{4}(0.05m)^2=0.00196m^2$$$

Flow rate:

$$$Q=Av$$$

where
$$A$$
is the cross sectional area of flow, and
$$v$$
is the average flow velocity.

$$$Q=(0.00196m^2)(3\frac{m}{s})(\frac{60s}{min})=0.35\:m^3/min$$$

$$$0.35\:m^3/min$$$