(Problem + Theory )Centrifugal pump/ Velocity diagram/ Fluid mechanics

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A centrifugal pump having outer diameter equal to two times the inner diameter and running at 1000 rpm works against a total head of 40 m. The velocity of flow through the impeller is constant and equal to 2.5 m/s. The vanes are set back at an angle of 40°at outlet. If the outer diameter of impeller is 500 mm and width at outlet is 50 mm, determine
1. vane angle at inlet
2. Workdone by impeller on water per second
3. Manometers efficiency

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