Final answer:
To determine the diameter of the nozzle which would give a volumetric flow rate of 3.67 x 10^-3 m³/s, you can use the equation Q = Av, where Q is the volumetric flow rate, A is the cross-sectional area of the pipe/nozzle, and v is the velocity of the fluid. Using the given information, you can calculate the required nozzle diameter.
Step-by-step explanation:
Physics: Pipeline and Nozzle Flow Rate Calculation
To determine the diameter of the nozzle which would give a volumetric flow rate of 3.67 x 10^-3 m³/s, we need to use the equation:
Q = Av
where Q is the volumetric flow rate, A is the cross-sectional area of the pipe/nozzle, and v is the velocity of the fluid.
Given that the pipeline has a diameter of 50 mm and the water is supplied under a head of 16.5 m, we can calculate the flow velocity using the equation:
v = √(2gh)
where g is the acceleration due to gravity and h is the head. We can then plug this value into the equation for volumetric flow rate to find the required nozzle diameter.