Home
Class 9
PHYSICS
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.
Promotional Banner

Topper's Solved these Questions

  • HYDROSTATICE

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|5 Videos

  • HYDROSTATICE

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3 UNDERSTANDING BASED QUESTION|5 Videos

  • HYDROSTATICE

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|13 Videos

  • HEAT

    PEARSON IIT JEE FOUNDATION|Exercise All Questions|115 Videos

  • LIGHT

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|10 Videos

Similar Questions

Explore conceptually related problems

An engineer was given a task to measure the rate of increase in pressure at the bottom of an empty cylindrical tank which is filled with water through hose pipe. If the speed of water coming out of the hose pipe is "10 m s"^(-1) , diameter and radius of the cylinder and hose pipe are 5 m and 25 cm, respectively, find the result shown by the engineer. (Take g = 10" m s"^(-2))

Water flows through a pipe of diameter 8.0 cm with a speed of 10.0 m/s . It then enters a smaller pipe of diameter 3.0 cm . What is the speed of the water as it flows through the smaller pipe ?

A cylindrical pipe has inner diameter of 7cm and water flows through it at 19.5 litres per minute.ind the rate of flow in km/hr

Cylindrical pipe has inner diameter of 7cm and water flow through it at 192.5 litres per minutes.Find the rate of flow in km/hr .

A cylindrical tank is filled with water to a level of 3m. A hole is opened at a height of 52.5 cm from bottom. The ratio of the area of the hole to that of cross-sectional area of the cylinder is 0.1. The square of the speed with which water is coming out from the orifice is (Take g= 10 m//s^(2) )

Water flows through a horizontal pipe of radius 1 cm at a speed of 8 cm s^(-1) . What will be the speed of flow of water under similar conditions, if the radius of the pipe is doubled ?

Water flows through a horizontal pipe of radius 1 cm at a speed of 2 ms^(-1) . What should be diameter of its nozzel if the water is to come out at a speed of 10 ms^(-1) ?

Water is flowing at a speed of 0.5 m/s through a horizontal pipe of internal diameter 3 cm. Determine the diameter of the nozzle if the water is to emerge at a speed of 3 m/s.

A cylindrical pipe has inner diameter of 4cm and water flows through it at the rate of 20 metre per minute.How long would it take to fill a conical tank of radius 40cm and depth 72cm?