1. The problem statement, all variables and given/known data Water is flowing through a nozzle with entrance data: P1 = 500 kPa V1 = 10 m/s A1 = π m2 ρ = 1000 kg/m3. Exit data: P2 = atmospheric pressure, assume 100 kPa to make numbers easy V2 = ? A2 = π (0.5)2 ρ = 1000 kg/m3 With what speed does the water exit the nozzle? 2. Relevant equations continuity equation: A1V1 = A2V2 Bernoulli's equation for horisontal flow: V12/2 + P1/ρ = V22/2 + Patm/ρ 3. The attempt at a solution I see that V2 = V1A1/A2 = 10 * π/(π*0.52) = 40 m/s But plugging this into Bernoulli's equation, you get: 102/2 + 500k/1000 = 402/2 +100k/1000 50 + 500 = 800 + 100 550 = 900 which isn't correct. My question is why doesn't it add up? If I were to use Bernoulli's equation to find the speed given the data above, I wouldn't need to know the area of the exit ... which is obviously fishy. Am I using Bernoulli's wrong? Why is it wrong?