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? Assume the flow is continuous.
Expand 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
Solve for velocity:
$$$v=\frac{Q}{A}$$$
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, the equation can be rearranged to solve for velocity:
$$$v=\frac{Q}{A}=\frac{100m^{3}}{5m^2\cdot sec}=20\:m/s$$$
20 m/s
Time Analysis
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