## Fluid Velocity

Consider a pipe with a 5 m^2 cross sectional area. If a fluid is traveling through the pipe at 100 cubic meters a second, what is the velocity of the fluid flow?

##
__
__**Hint**

**Hint**

$$$Q=v\times A$$$

where
$$Q$$
is the volumetric flow rate of a fluid through the pipe,
$$v$$
is the average fluid flow velocity, and
$$A$$
is the pipe's cross sectional area.

##
__
__**Hint 2**

**Hint 2**

Since Q and A are given in the problem statement, we can simply solve for v:

$$$v=\frac{Q}{A}$$$

For a fluid one dimensional flow:

$$$Q=v\times A$$$

where
$$Q$$
is the volumetric flow rate of a fluid through the pipe,
$$v$$
is the average fluid flow velocity, and
$$A$$
is the pipe's cross sectional area.

Since Q and A are given in the problem statement, we can simply solve for v:

$$$v=\frac{Q}{A}=\frac{100m^{3}}{5m^2\cdot sec}=20\:m/s$$$

20 m/s