Home
Class 11
PHYSICS
A ballot dancer is rotating about his ow...

A ballot dancer is rotating about his own vertical axis on smooth horizontal floor with a time period `0.5 sec`. The dancer flods himself close to his axis of rotation due to which his radius of gyration decreases by `20%`, then his new time period is

A

0.1 sec

B

0.25 sec

C

0.32 sec

D

0.4 sec

Text Solution

Verified by Experts

The correct Answer is:
C

` I_(1)omega_(1) = I_(2)omega_(2) , mK_(1)^(2)xx (2pi)/(T_(1)) = mK_(2)^(2) xx (2pi)/(T_(2))`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - III|43 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)|60 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos
  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos

Similar Questions

Explore conceptually related problems

A ballet dancer is rotating about his own vertical axis at an angular velocity 100 rpm on smooth horizontal floor. The ballet dancer folds himself close to his axis of rotation by which is moment of inertia decreases to half of initial moment of inertia then his final angular velocity is

A ballet dancer is rotating at angular velocity omega on smooth horizontal floor. The ballet dancer folds his body close to his axis of rotation by which his radius of gyration decreases by 1//4^(th) of his initial radius of gyration, his final angular velocity is

A ballet dancer is rotating about his own vertical axis. Without external torque if his angular velocity is doubled then his rotational kinetic energy is

A ballet dancer is rotating about his own vertical axis on smooth horizontal floor. I, omega, L, E are moment of inertia, angular velocity, angular momentum, rotational kinetic energy of ballet dancer respectively. If ballet dancer stretches himself away from his axis of rotation, then

A ballet dancer spins about a vertical axis at 120 rpm with arms out stretched. With her arms fold the moment of inertia about the axis of rotation decreases by 40% . What is new rate of revolution?

A dancer is rotating on smooth horizontal floor with an angular momentum L The dancer folds her hands so that her moment of inertia decreases by 25%. The new angular momentum is

A ballet dancer spins about vertical axis at 1.5pi rad//s with arms outstreched. With the arms folded, the moment on inertia about the same axis of rotation changes by 25%. The new frequency of roatation of is

A turn table is rotating in horizontal plane about its own axis at an angular velocity 90rpm while a person is on the turn table at its edge. If he gently walks to the centre of table by which moment of inertia of system decreases by 25% , then the time period of rotating of turn table is

A student sits on a stool that is free to rotate about a vertical axis. He holds out his arms horizontally, with a 4-kg weight in each hand. The stool is set in rotation with angular speed of 0.5 revolution per second. Calcualate the angular speed of the student is 90 cm and his rotational inertia is 7kg m^(2) . [Hint: Use conservation principle]

A ballet dancer spins about a vertical axis at 60 rpm with his arms closed. Now he stretches his arms such that M.I. Increases by 50% . The new speed of revolution is

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - II (H.W)
  1. Find moment of inertia of half disc of radius R(2) and mass M abou...

    Text Solution

    |

  2. Two circular loops A and B are made of the same wire and their radii a...

    Text Solution

    |

  3. A circular disc is rotating without friction about its natural axis wi...

    Text Solution

    |

  4. A ballot dancer is rotating about his own vertical axis on smooth hori...

    Text Solution

    |

  5. A uniform metal rod of length L and mass M is rotating about an axis p...

    Text Solution

    |

  6. A ball of mass 1 kg is projected with a velocity of 20sqrt(2) m/s ...

    Text Solution

    |

  7. A uniform sphere of mass m , radius r and moment of inertia I ab...

    Text Solution

    |

  8. When 200 J of work is done on a fly wheel its frequency of rotation in...

    Text Solution

    |

  9. A fly wheel of M.I. 6xx10^(-2) kgm^(2) is rotating with an angular vel...

    Text Solution

    |

  10. If the kinetic energy of a rotating body about an axis is decreased by...

    Text Solution

    |

  11. The moment of inertia of a wheel of radius 20 cm is 40 kgm^(2) if a ta...

    Text Solution

    |

  12. An initial momentum is imparted to a homogenous cylinder, as a results...

    Text Solution

    |

  13. A solid cylinder starts rolling down on an inclined plane from its top...

    Text Solution

    |

  14. A thin metal rod of length 0.5 m is vertically straight on horizontal ...

    Text Solution

    |

  15. A wheel of radius 0.2 m rolls without slip ping with a speed 10m/s...

    Text Solution

    |

  16. Show that a cylinder will slip on an inclined plane if the coefficient...

    Text Solution

    |

  17. A thin metal disc of radius 0.25m and mass 2kg starts from rest and ro...

    Text Solution

    |

  18. A ball rolls without slipping. The radius of gyration of the ball abou...

    Text Solution

    |

  19. A wheel is rolling uniformly along a level road without slipping...

    Text Solution

    |

  20. A uniform circular ring of radius R is first rotated about its h...

    Text Solution

    |