An engine can pump 30000L of water to a vertical height of 45 m in 10 minutes. Calculate the work done by the machine and its power.

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Solution

Energy used = work done
Let's Find Mass!
We know,
Density = Mass/Volume
1000 = M/30m³
M = D × V = 30000 Kg
Now, Potential Energy = mgh
= 30000 × 9.8 × 45
= 13230000 J or 13230 kJ (Note: Energy=workdone )
We know,
Power(P) = work done/ time
Power(P) = 13230000/600 [10 × 60]
= 22050 W or 22.05KW

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An engine can pump 30000L of water to a vertical height of 45 m in 10 minutes. Calculate the work done by the machine and its power.

Energy used = work done Let's Find Mass! We know, Density = Mass/Volume 1000 = M/30m³ M = D × V = 30000 Kg Now, Potential Energy = mgh = 30000 × 9.8 × 45 = 13230000 J or 13230 kJ (Note: Energy=workdone ) We know, Power(P) = work done/ time Power(P) = 13230000/600 [10 × 60] = 22050 W or 22.05KW

Energy used = work done
Let's Find Mass!
We know,
Density = Mass/Volume
1000 = M/30m³
M = D × V = 30000 Kg
Now, Potential Energy = mgh
= 30000 × 9.8 × 45
= 13230000 J or 13230 kJ (Note: Energy=workdone )
We know,
Power(P) = work done/ time
Power(P) = 13230000/600 [10 × 60]
= 22050 W or 22.05KW