1. Water (ρ = 1000 kg/m 3 ) is accelerated from rest in a horizontal pipe that is 80 m long and 30 cm in diameter. If the acceleration rate (toward the downstream end) is 5 m/s 2 , what is the...

1. Water (ρ = 1000 kg/m³) is accelerated from rest in a horizontal pipe that is 80 m long and 30 cm in diameter. If the acceleration rate (toward the downstream end) is 5 m/s², what is the pressure at the upstream end if the pressure at the downstream end is 90 kPa gage?

2. If the velocity varies linearly with distance through this water nozzle, what is the pressure gradient, dp/dx, halfway through the nozzle? Assume ρ = 62.4 lbm/ft³.