Problem 1: Water flows through a 1 cm diameter pipe with a speed of 1 ms-1. What should be the diameter of the nozzle if the water is to emerge at 2.1 ms-1.
Given data Diameter of the pipe = D1 = 1 cm = 0.01 m
Speed of water in pipe = v1 = 1 ms-1
Speed at the nozzle of the pipe = v2 = 2.1 ms-1
Required Diameter of the nozzle = D2 =?
Equation of continuity. Now if A1 is the cross-sectional area of the pipe and A2 is the cross-sectional area of the nozzle, then
Put these values in the formula.