The flow velocity measured as in/min at the meter is 5924.13 in/min
<h3 /><h3>Volumetric flow rate</h3>
We know that the volume flow rate Q = Av where
- A = cross-sectional area of pipe and
- v = flow velocity
Now, Q = 18 gal/min
Converting this to in³/min, we have
Q = 18 gal/min = 18 × 1 gal/min = 18 × 231 in³/min = 4158 in³/min
A = πd²/4 where d = diameter of pipe = 1.0 in.
<h3 /><h3>Flow velocity, v</h3>
Since Q = Av, making v subject of the formula, we have
v = Q/A
v = 4Q/πd²
Substituting the values of the variables into the equation, we have
v = 4Q/πd²
v = 4 × 4158 in³/min ÷ π × (1.0 in)²
v = 16632 in/min ÷ π
v = 5924.13 in/min
So, the flow velocity measured as in/min at the meter is 5924.13 in/min
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