Home
Class 12
PHYSICS
Rotational kinetic energy of a body is e...

Rotational kinetic energy of a body is expressed by the equation `E_K=1//2 Iw^2` where I is the moment of inertia and `omega` is the angular velocity. Establish dimensional formula of I with the help of the above equation.

Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MBD PUBLICATION|Exercise Question Bank|225 Videos
  • PROJECTILE MOTION

    MBD PUBLICATION|Exercise QUESTION BANK|188 Videos

Similar Questions

Explore conceptually related problems

The rotational KE of a body is given by 1/2Iw^2 Use the equation to obtain the dimension of I.

A body of moment of inertia 2kg-m^2 has a rotational kinetic energy 4J. What is the angular momentum of the body ?

Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc) I=0 where I is the 2 x 2 unit matrix.

The K.E. of a body is 3 Joule and moment of inertia is 6 Kgm^2 . What will be it's angular momentum ?

Check the correctness of the equation s=ut+1/2at^2 by dimensional analysis, where symbols carry their usual meanings.

MBD PUBLICATION-PHYSICAL WORLD AND MEASUREMENT-QUESTION BANK
  1. Express Velocity of 25000 miles per hour in kilometers per hour.

    Text Solution

    |

  2. In an experiment it is observed that the frequency of a vibrating stri...

    Text Solution

    |

  3. Rotational kinetic energy of a body is expressed by the equation EK=1/...

    Text Solution

    |

  4. The value of acceleration due to gravity is 980 cm//s^2. What will be ...

    Text Solution

    |

  5. A gas bubble from an explosion under water, oscillates with a period T...

    Text Solution

    |

  6. A body of mass m hung at one end of the spring executes SHM. The force...

    Text Solution

    |

  7. The refractive, index of water is found to be the values 1.29, 1.33,1....

    Text Solution

    |

  8. A rectangular lamina has a length =(6.9+-0.2)cm and a breadth b=2.3+-0...

    Text Solution

    |

  9. The Initial and final temperature of water as recorded by an observer ...

    Text Solution

    |

  10. We measure the period of a simple pendulum. Reading turn out 2.63s, 2....

    Text Solution

    |

  11. The temperature of two bodies measured in a thermometer are t1 = (20C ...

    Text Solution

    |

  12. The length and breadth of a rectangle are (5.7 +-0.1)cm and b=(3.4+-0....

    Text Solution

    |

  13. The period of oscillation of a simple pendulum is T=2pisqrt(L//g). Mea...

    Text Solution

    |

  14. Write the results of the following operations to the correct number of...

    Text Solution

    |

  15. Find the order of magnitude of the force F exerted by the Sun (mass M=...

    Text Solution

    |

  16. A rectangular plate of metal has length = 6.712 m, breadth = 2.13 m an...

    Text Solution

    |

  17. Astronomical unit is the unit of

    Text Solution

    |

  18. Which of the following is not a unit of distance ?

    Text Solution

    |

  19. One angstrom is equal to

    Text Solution

    |

  20. 1 parsec in the unit of

    Text Solution

    |