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Water flows at a speed of 5 m/s through a pipe of radius 1 meter. The pipe tapers to a smaller pipe of radius 0.45 meters. What is the speed (in m/s) of the water in the smaller pipe?



Answer :

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When water flows through a pipe, the principle of continuity in fluid dynamics states that the mass flow rate remains constant, assuming the fluid is incompressible and friction is ignored. This means that as the pipe tapers down, the speed of the water will increase to maintain a constant flow rate.