(Solved): Q3. In the figure below, an orifice meter is used to measure the flowrate in the pipe with \( d=1 \ ...

Q3. In the figure below, an orifice meter is used to measure the flowrate in the pipe with \( d=1 \) inch. Derive an expression for the velocity in the pipe (whose diameter is 2 inches) as a function of the other parameters and use it to calculate the volumetric flow rate in the pipe if \( h=1.5 \mathrm{ft} \). In your answer show a step-by-step procedure and state your assumptions.