Let's begin by looking at a flow problem in which the diameter of a pipe changes along the flow path. We will need to use both the continuity equation and Bernoulli's equation for this problem. Water enters a house through a pipe with an inside diameter of 2.0 cm at a gauge pressure of 4.0 x 105 Pa (about 4 atm, or 60 lb/in.). The cold-water pipe leading to the second-floor bathroom 5.0 m above is 1.0 cm in diameter (Eigure 1). Find the flow speed and gauge pressure in the bathroom when the flow speed at the inlet pipe is 2.0 m/s. How much time would be required to fill a 100 L bathtub with cold water? Figure To second floor (1 cm pipe) Hot-water tank 5.0m www. From water supply (2 cm pipe) 1 of 1 Determine the gauge pressure for a 2.5-cm-diameter faucet located next to the washing machine in the basement, 2.4 m below where the pipe enters the house. Express your answer with the appropriate units.