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A water tank has a hole at a distance of...

A water tank has a hole at a distance of 7 m from free water surface. Find the velocity of water through the hole. If the radius of the hole is 2 mm what is the rate of flow of water?

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AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Calculate the velocity of water through the hole. We can use Torricelli's theorem, which states that the speed (v) of fluid flowing out of an orifice under the force of gravity is given by the formula: \[ v = \sqrt{2gh} \] Where: ...
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Knowledge Check

  • A tank filled with fresh water has a hole in its bottom and water is flowing out of it. If the size of the hole is increased, then

    A
    the volume of water flowing out per second will decrease
    B
    the velocity of outflow of water remains unchanged
    C
    the volume of water volume out per second remains zero
    D
    Both (b) and (c)

  • Water is poured into an empty cylindrical tank at a constant rate. In 10 minutes, the height of the water increased by 7 feet. The radius of the tank is 10 feet. What is the rate at which the water is poured?

    A
    `11pi//8` cubic feet per minute.
    B
    `11pi//3` cubic feet per minute.
    C
    `7pi//60` cubic feet per minute.
    D
    `70pi` cubic feet per minute.

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