Question $12$

$5$ pts

Problem Solving: Input your final answer in the space provided.

Note: Use four $(4)$ decimal places and no need to indicate the unit.

A $6\mathrm{.}6$ cm diameter horizontal water pipe expands gradually to a $10\mathrm{.}7$ cm diameter pipe. The walls of the expansion section are angled $22\mathrm{.}5$ from the horizontal. The average velocity and pressure of water flowing before the expansion section are $7\frac{m}{s}$ and $150$ kPa $,$ respectively. Determine the pressure $(kPa)$ in the larger$-$diameter pipe. Assume the flow of water is turbulent.