Home
Class 11
PHYSICS
Water from the bottom of a dam of depth ...

Water from the bottom of a dam of depth `h` comes out through a narrow pipe and strikes continuousy the tips of the blades of a water turbine. The length of each blade is R. Calculate the most advantaneous speed of rotation of the turbine
[Hint : The most advantageous speed corresponds to the development of maximum power in the turbine]

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(2gh)//3R`
Promotional Banner

Topper's Solved these Questions

  • FRICTION, WORK POWER AND ENERGY

    NN GHOSH|Exercise Exercises (A)|15 Videos
  • FIRST LAW OF THERMODYNAMICS

    NN GHOSH|Exercise All Questions|39 Videos
  • GRAVITATION

    NN GHOSH|Exercise EXERCISE|29 Videos

Similar Questions

Explore conceptually related problems

Water flows through a tunnel from the reservior of a dam towards the turbine installed in its power plant . The power plant is situated h metre below the reservoir . If the ratio of the cross sectional areas of the tunnel at the resercoir and power station end is eta , find the speed of the water entering into the turbine .

A car windshield wiper blade sweeps the wet windshield rotating at a constant angular speed of omega . R is the radius of innermost arc swept by the blade. Length and width of the blade are l and b respectively. Coefficient of viscosity of water is eta . Calculate the torque delivered by the motor to rotate the blade assuming that there is a uniform layer of water of thickness t on the glass surface.

Water leaks out from an open tank through a hole of area 2mm^2 in the bottom. Suppose water is filled up to a height of 80 cm and the area of cross section of the tankis 0.4 m^2 . The pressure at the open surface and the hole are equal to the atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a. Find the initial speed of water coming out of the hole. b. Findteh speed of water coming out when half of water has leaked out. c. Find the volume of water leaked out during a time interval dt after the height remained is h. Thus find the decrease in height dh in term of h and dt. d. From the result of part c. find the time required for half of the water to leak out.

NN GHOSH-FRICTION, WORK POWER AND ENERGY-Exercises (B)
  1. M(A) = 3 kg ,M(B) = 4 kg ,M(C) = 8 kg. Coefficient of friction between...

    Text Solution

    |

  2. The total mass of an elevator with a 80 kg man in it is 1000 kg. This ...

    Text Solution

    |

  3. Two masses 1.65 kg and 3.30 kg are joined together by a massles rod pa...

    Text Solution

    |

  4. A body of mass m was slowly hauled up the hill as shown in the fig. by...

    Text Solution

    |

  5. Following are three equations of motion S=ut+(1)/(2)at^(2) v(s)=s...

    Text Solution

    |

  6. An escalator joins one floor with another 10 m above. The escalator is...

    Text Solution

    |

  7. A ball of mass m is projected horizontally with velocity v into the ba...

    Text Solution

    |

  8. A block of mass 2kg slides on a frictionless table with with a speed o...

    Text Solution

    |

  9. An ideal massless spring is compressed by 1 m by a force of 100 N. The...

    Text Solution

    |

  10. Masses M(1),M(2) and M(3) are connected by string of negligible mass w...

    Text Solution

    |

  11. The handles of a table-drawer are equidistant from the sides of the dr...

    Text Solution

    |

  12. A fixed pulley carries a weightless thread with masses m(2) and m(1) a...

    Text Solution

    |

  13. A block of mass m is placed on the rough incline of a wedge of mass M ...

    Text Solution

    |

  14. A car starts moving from rest along the circumference of a horizontal ...

    Text Solution

    |

  15. A block of mass m=37.5 kg is placed on a table of mass M = 12.25 kg wh...

    Text Solution

    |

  16. Water from the bottom of a dam of depth h comes out through a narrow p...

    Text Solution

    |

  17. A 60 kg man leaps vertically from a crouching position when his centre...

    Text Solution

    |

  18. What work should a man do to walk up a subway escalator moving down wi...

    Text Solution

    |

  19. An object of mass m slides down a hill of height h and of arbitrary sh...

    Text Solution

    |

  20. A skater standing on a perfectly floor holds on the nearby railing and...

    Text Solution

    |