Home
Class 12
PHYSICS
A body of moment of inertia of 3kgm^(2) ...

A body of moment of inertia of `3kgm^(2)` rotating with an angular velocity or 2rad//s has the same kinetic energy as a mass of 12kg moving with a velocity of

A

`1m//s`

B

`2m//s`

C

`4m//s`

D

`8m//s`

Text Solution

Verified by Experts

The correct Answer is:
A

`KE_("rot")=KE_(L)`
`(1)/(2)I omega^(2)=(1)/(2) mv^(2)`
`3xx4=12 v^(2)`
`v^(2)=1`
`v = 1`.
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER - MH-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos
  • SEMICONDUCTORS

    NIKITA PUBLICATION|Exercise MCQS|350 Videos

Similar Questions

Explore conceptually related problems

A body of moment of inertia 5 kgm^(2) rotating with an angular velocity 6 rad/s has the same kinetic energy as a mass of 20 kg moving with a velocity of ……

A body of moment of inertia of 3 kg m^(2) rotating with an angular velocity of 2 rad/s has the same kinetic energy as that that of mass 12 kg moving with a velocity of

A body of moment of inertia about its axis of rotation is 3 kg m^(2) and angular velocity 3 rad/s. The kinetic energy of rotating body is same as that of body of mass 27 kg moving with a speed of

Calculate the kinetic energy of a body of mass 2 kg moving with a velocity of 0.1 meter per second.

Two disks are rotating about the same axis. Disk A has a moment of inertia of 3.4 kg-m^(2) and an angular velocity of +72 "rad"//s . Disk B is rotating with an angular velocity of -9.8 "rad"//s . The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.4 "rad"//s . The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B?

A body of mass 10 kg is moving in a circle of radian 1 m with an angular velocity of 2 rad//s the centripetal force is

NIKITA PUBLICATION-ROTATIONAL MOTION -MULTIPLE CHOICE QUESTIONS
  1. If all of a sudden the radius of the earth decreases, then

    Text Solution

    |

  2. The moment of inertia of a thin circular disc of mass M and radius R a...

    Text Solution

    |

  3. A body of moment of inertia of 3kgm^(2) rotating with an angular veloc...

    Text Solution

    |

  4. The radius of gyration of a disc of mass 100 g and radius 5 cm about a...

    Text Solution

    |

  5. Two circular discs A and B have equal masses and uniform thickness but...

    Text Solution

    |

  6. If momentum of an object is increased by 10%, then is kinetic energy w...

    Text Solution

    |

  7. M.I. of a thin uniform rod about the axis passing through its centre a...

    Text Solution

    |

  8. The moment of inertia of an electron in n^(th) orbit will be

    Text Solution

    |

  9. The moment of inertia of uniform circular disc about an axis passing t...

    Text Solution

    |

  10. What will be distance of centre of mass of the disc (See fig.) from it...

    Text Solution

    |

  11. Moment of inertia depends on

    Text Solution

    |

  12. Moment of inertia of a disc about its own axis is I. Its moment of ine...

    Text Solution

    |

  13. A sphere of mass 0.5 kg and diameter 1 m rolls without sliding with a ...

    Text Solution

    |

  14. Radius of gyration of disc rotating about an axis perpendicular to its...

    Text Solution

    |

  15. (L^(2))/(2I) represents

    Text Solution

    |

  16. A disc of moment of inertia 9.8//pi^(2)kg m^(2) is rotating at 600 rpm...

    Text Solution

    |

  17. The center of mass of a system of two particles divides the distance b...

    Text Solution

    |

  18. A particle moves in straight line in same direction for 20 seconds wit...

    Text Solution

    |

  19. Dimensions of angular momentum is

    Text Solution

    |

  20. The torque acting is 2000 Nm with an angular acceleration of 2rad//s^(...

    Text Solution

    |