Calculate the theoretical flow rate of water through a venturimeter given pipeline diameter, throat diameter, head difference in mercury, and density of water.

To calculate the theoretical flow rate of water through a venturimeter, we use the venturimeter equation.

Step 1: Convert given values to SI units.
The pipeline diameter $D = 250 \text{ mm} = 0.250 \text{ m}$.
The throat diameter $d = 80 \text{ mm} = 0.080 \text{ m}$.
The head difference in mercury $\Delta h_{Hg} = 350 \text{ mmHg} = 0.350 \text{ m}$.
The density of water $\rho_w = 1000 \text{ kg/m}^3$.