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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.

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