A circular tank that has a diameter of 12 m and sides that are 8 m high contains water with a depth of 5 m. How much work (in Joules) is req

Question

A circular tank that has a diameter of 12 m and sides that are 8 m high contains water with a depth of 5 m. How much work (in Joules) is required to pump all of the water to a point that is 4 meters above the top of the tank

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Đan Thu 3 years 2021-08-28T10:47:31+00:00 1 Answers 4 views 0

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    2021-08-28T10:48:45+00:00

    Answer:

    = 58,189,950J

    Explanation:

    Work done in pumping all the water:

    Average height of the pool,

    h = \frac{H + D}{2}

    h = \frac{8 + 5}{2} \\= 6.5

    Volume of water

    V = \pi r^{2}h = \pi \times 6^{2}\times 5 \\= 565.5\ m^{3}

    Mass of water

    m_{w} = \rho_{w} \times V\\ = 1000  \times 565.5\\= 565,500kg

    Work done is given by the potential energy of the water as

    W = m_{w}gh \\= 565,500\times 9.8\times 6.5 \\\\= 58,189,950\ J

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