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A water tank has a capacity of 1000 lit...

A water tank has a capacity of 1000 litres. It is in the shape of a cylinder. The length of the cylinder is 1 metre. An electric motor pump set is used to fill the water in the tank. This pumpset lifts 120 litres of water per minute. What is the velocity in the shift of centre of gravity of the water tank?

Text Solution

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The values of the cylinder having 1000 litres capacity is 1 `m^(3)`.
Find the area of the cross section and the height of the cylinder.
If 120 litres of water is pumped into the cylinder for every one minute, then the level of water rises up by the rate of `(120)/(1000)`m.
Will the C.G. of the water tank rise by `(120)/(1000)` m in one minute?
Now, find the change in C.G. of the water tank in one second by dividing (2) by 60 seconds.
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Knowledge Check

  • One fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?

    A
    `2/5`
    B
    `2/3`
    C
    `1/3`
    D
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  • One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?

    A
    `(2)/(5)`
    B
    `(2)/(3)`
    C
    `(1)/(3)`
    D
    `(1)/(6)`

  • A tank has a leak which would empty the completely filled tank In 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank, the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?

    A
    2400
    B
    4500
    C
    1200
    D
    7200

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