Hot water at 120 F (48.9 °C) from a water heater is used to supply simultaneously a shower with 2.5 gal/ min, an automatic dishwasher with 6.5 gal/ min, and a washing machine with 9.4 gal/min. Cold water at 60 F (15.5 °C) is supplied to the water heater through a copper tube of 25-mm inner diameter. Determine the average velocity of the incoming water. Comment on any assumptions you made regarding the water density.