A water filled pipe has water flowing at 5.70 m/s in a section of pipe where the diameter is 19.2 cm and the pressure is known to be 8.50×10^4 N/m^2 above atmospheric pressure.
1. If the pipe carries the water 3.5 meters up hill without any change in diameter, what is the new absolute pressure within the pipe?
2. If the pipe narrows to 80% of its original radius, what will be the new water velocity in the pipe?
3. What will be the absolute pressure in the smaller pipe?
4. What is the volume flow rate through the smaller pipe?