Home
Class 12
PHYSICS
An open cubical tank completely filled w...

An open cubical tank completely filled with water is kept on a horizontal surface. Its acceleration is then slowly increasesd to `2m//s^(2)` as shown in the figure. The side of the tank is 1m. Find the mass of water that would spill out of the tank.

Text Solution

Verified by Experts

The correct Answer is:
100 kg

`tan theta = (a)/(g) implies tantheta = 0.2`
`0.2=(x)/(1)`
`x=0.2`
mass spill out `=Vrho`
mass spill out `=Axx1xx1000`
mass spill out `=(1)/(2)xx1xx0.2xx1000kg`
mass spill out `=100kg`
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    BANSAL|Exercise EXERCISE # II|18 Videos
  • FLUID MECHANICS

    BANSAL|Exercise EXERCISE # III|18 Videos
  • FLUID MECHANICS

    BANSAL|Exercise PYQS AIEEE|10 Videos
  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Additional topic|70 Videos

Similar Questions

Explore conceptually related problems

A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration towards the righ. Pressure is i. maximum and ii. minimum at

An open cubical tank was initially fully filled with water. When the tank was accelerated on a horizontal plane along one of its side it was found that one thrid of volume of water was spilled out. The acceleration was

A tank with base area L^2 is filled with a liquid to height H. The tank is acceleration horizontally with acceleration a as shown in figure. If a small hole is made at the point A. then it is observed that the liquid does not come out of the tank. The magnitude of acceleration should be

A vertical tank, open at the top, is filled with a liquid and rests on a smooth horizontal surface. A small hole is opened at the centre of one side of the tank. The area of cross-section of the tank is N times the area of the hole, where N is a large number. Neglect mass of the tank itself. The initial acceleration of the tank is

A spherical tank of 1.2 m radius is half filled with oil of relative density 0.8 . If the tank is given a horizontal acceleration of 10 m//s^(2) , the maximum pressure on the tank is sqrt(2P) pascal. Find the value of P .

A flat bottomed metal tank filled with water is dragged along a horizontal floor at the rate of 20 m//s The tank is of mass 100 kg and contains 900 kg of water and all the heat produced in the dragging is conducted to the water through the bottom plate of the tank. If the bottom plate has an effective area of conduction 1m^(2) and thickness 5 cm and the temperature of water in the tank remains constant at 50^(@) C, calculate the temperature of the bottom surface of the tank. Given the coefficient of friction between the tank and the floor is 0.5 and K for the material of the tank is 100 J//m sec K.

A large tank is filled with water to a depth of 15 m . A spout located 10.0 m above the bottom of the tank is then opened as shown in the figure . With what speed will water emerge from the spout ?

An open tank of cross sectional area A contains water up to height H. It is kept on a smooth horizontal surface. A small orifice of area A_(0) is punched at the bottom of the wall of the tank. Water begins to drainout. Mass of the empty tank may be neglected. (i) Prove that the tank will move with a constant acceleration till it is emptied. Find this acceleration. (iii) Find the find speed acquired by the tank when it is completely empty.

A storage tank is in the form of a cube.When it is full of water,the volume of the water is 15.625m^(3). If the present depth of the water is 1.3m, find the volume of water already used from the tank.

An open rectangular tank 1.5 m wide 2m deep ad 2 m long is half filled with water. It is accelerated horizontally at 3.27m//s^(2) in the direction of its length determine the depth of water at each end of tank.

BANSAL-FLUID MECHANICS-EXERCISE # I
  1. A soild ball of density half that of water falls freely under gravity ...

    Text Solution

    |

  2. For the system shown in the figure the cylinder on the left at L has a...

    Text Solution

    |

  3. (a) A spherical tank of 1.2m radius is half filled with oil of relaive...

    Text Solution

    |

  4. A test tube of thin walls has some lead shots in it at its bottom and ...

    Text Solution

    |

  5. An open cubical tank completely filled with water is kept on a horizon...

    Text Solution

    |

  6. Computer the work which must be performed to slowly pump the water out...

    Text Solution

    |

  7. A vertical uniform U tube open at both ends contains mercury. Water is...

    Text Solution

    |

  8. An expansible balloon filled with air floats on the surface of a lake ...

    Text Solution

    |

  9. In a sonometer wire, the tension is maintained by suspending a 50.7 kg...

    Text Solution

    |

  10. A large tank is filled with two liquids of specific gravities 2sigma a...

    Text Solution

    |

  11. A jet of water having veloctiy =10m//s and stream cross-section =2cm^(...

    Text Solution

    |

  12. A laminar stream is flowing vertically down from a tap of cross-sectio...

    Text Solution

    |

  13. A cylindrical vessel open at the top is 20cm high and 10 cm in diamete...

    Text Solution

    |

  14. Calculate the rate of flow of glycerine of density. 1.25xx10^(3) kg//m...

    Text Solution

    |

  15. A ball collides elastically with a massive wall moving towards it with...

    Text Solution

    |

  16. A spherical ball of radius 3xx10^(-4)m and density 10^(4)kg//m^(3) fal...

    Text Solution

    |

  17. A spherical ball of density rho and radius 0.003m is dropped into a tu...

    Text Solution

    |

  18. Two narrow bores of diameters 3.0mm and 6.0 mm are joined together to ...

    Text Solution

    |

  19. A soap bubble has radius R and thickness d(ltltR) as shown. It collaps...

    Text Solution

    |

  20. Prove that if two bubbles of radii r(1) and r(2)(r(1)ltr(2)) come in c...

    Text Solution

    |