1. A horizontal pipeline 30 mm internal diameter tapers to a nozzle of 15 mm diameter. If the initial velocity of the liquid in the pipeline is 1.2 m/s, calculate the exit velocity from the nozzle.

2. Water flows steadily through a horizontal pipe (diameter = 0.12 m) and exits into the atmosphere through a 6 cm diameter nozzle. If the pressure inside the pipe is 3 atm, calculate the exit velocity. Use alpha = 1.00, ignore friction effects.

Calculate the pressure term

Evaluate the potential energy term

Express the inlet velocity v1 as a function of exit velocity v2 in the form v1 = av2. What is the value of a?

Hence, calculate the exit velocity (in m/s)