question_answer

An engine is employed to fill a tank of size \[\text{2m}\times \text{2m}\times \text{2m}\] with water in 5 minutes, lifting water from a well of depth 30 m. Find the power of the engine.

Answer:

Volume \[(v)=2m\times 2m\times 2m\] \[=8\,{{m}^{3}}\] density \[(d)=1000\,\,kg/{{m}^{3}}\] time \[(t)=5\times 60\,\,\sec \] depth \[(h)=30\,m\] power \[(P)=?\] \[P=\frac{w}{t}=\frac{mgh}{t}\frac{vdgh}{t}\] \[\Rightarrow P=\frac{8\times 1000\times 10\times 30}{5\times 60}\]                 \[=8000\,w\]                 \[=8\,kw\]