Ability of Pump

Classical Mechanics Level 3

The depth of a watery well is 10 m and the diameter is 1.5 m. A pump can empty the well in 25 minutes. What is the ability of the pump?

Details and assumptions:

  • Enter your answer to 2 decimal places.
  • Answer in Hp.


The answer is 0.77.

Nazmus Sakib by Nazmus sakib , 24, Bangladesh

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1 solution

Munem Shahriar
Sep 12, 2017

P = m g h t = π r 2 h × ρ w a t e r × g h t P = \dfrac{mgh}{t} = \dfrac{ \pi r^2h \times ρ_{water} \times gh}{t}

= [ π × ( 1.5 2 ) 2 × 10 × 1000 × 9.8 × 10 / 2 25 × 60 ] = \large \left[ \dfrac{ \pi \times (\frac{1.5}{2})^2 \times 10 \times 1000 \times 9.8 \times 10/2}{25 \times 60} \right] ~ ~~ ~ ~ ~~ ~ ~ ~ ~ ~ ; Average depth = 10 2 ; \text{Average depth} = \dfrac{10}{2}

≈ 577.26 W = 577.26 746 ≈ 0.77 H p \approx 577.26 W = \dfrac{577.26}{746} \approx 0.77 Hp

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