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Numericals · Q35

Q.40000 litre of oil of density 0.9 g/cc is pumped from an oil tanker ship into a storage tank at 10 m higher level than the ship, in half an hour. What should be the power of the pump?

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Volume of oil = 40000 litre = 40 m^3 (since 1000 litre = 1 m^3). Density = 0.9 g/cc = 900 kg/m^3. Mass m=density×volume=900×40=36000m=\text{density}\times\text{volume}=900\times 40=36000 kg. Height raised, h=10h=10 m; g=10g=10 m/s^2 (given, or standard). Work done against gravity =mgh=36000×10×10=3.6×106=mgh=36000\times10\times10=3.6\times10^6 J. Time taken == half an hour =1800=1800 s. Power $=\frac{\text{Work}}{\text{time}}=\frac{3.6\time …

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