patmiller8768 patmiller8768
  • 12-08-2020
  • Physics
contestada

How much work is needed to pump all the water out of a cylindrical tank with a height of 10 m and a radius of 5 m

Respuesta :

Xema8 Xema8
  • 17-08-2020

Answer:

Explanation:

volume of water being lifted

= π r² h , where r is radius of cylinder and h is height of cylinder

= 3.14 x5² x 10

= 785 m³

mass of water = 785 x 10³ kg

mass of this much of water is lifted so that its centre of mass is lifted by height

10 / 2 = 5m .

So work done = mgh , m is mass of water , h is displacement of centre of mass and g is acceleration due to gravity

= 785 x 10³ x 9.8 x 5

= 38.465 x 10⁶ J  

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