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An empty cylindrical tank having diamete...

An empty cylindrical tank having diameter 5 m is filled with water through a hose pipe having radius 25 cm. If pressure at the bottom of the container increases at a rate of `10^(3)"Pa s"^(-1)`, calculate the speed of water flowing through the hose pipe.
`("Take g 10 m s"^(-2))`

Text Solution

Verified by Experts

`P=h_(1)dg`
Determine the height 'h' of the liquid column.
Volume of water collected = Volume of water flowing through the pipe.
`pir_(1)^(2)h_(1)=pir_(2)^(2)h_(2)` Where `r_(1)andr_(2)` are the radius of cross section of the container and the pipe, respectively.
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Knowledge Check

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