Home
Class 11
PHYSICS
A door of moment of inertia 4kgm^(2) is ...

A door of moment of inertia `4kgm^(2)` is at rest. When a torque of `2piNm^("acts")` on it find its angular acceleration. Find also its angular velocity after `1`s .

Text Solution

Verified by Experts

`alpha=(tau)/(I)=(2pi)/(4)=(pi)/(2)rad//s^(2)`
`omega_(2)-omega_(1)=alphat` `omega_(2)=(pi)/(2)xx1`
`omega_(2)=1.57rad//sec`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise Exercise-I|143 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise Exercise-II|109 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise PRACTICE EXERCISE (Rotational Dynamics )|17 Videos
  • SURFACE TENSION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS )|8 Videos
  • THERMAL PROPERTIES OF MATTER

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) PRACTICE SHEET (ADVANCED) Integer/Subjective Type Questions|2 Videos

Similar Questions

Explore conceptually related problems

A door of moment of inertia 4 kg m^(2) is at rest. When a torque of 2 pi Nm acts on it find its angular acceleration. Find also its angular velocity after 1 s.

A flywheel of mass 1 kg and radius vector (2hati _ hatj + 2 hatk) m is at rest. When a force (3hati + 2 hatj - 4 hatk) N acts on it tangentially, it can rotate freely. Then , its angular velocity after 4.5s is

A constant torque of 1000 N-m, turns á wheel of moment of inertia 200 kg-m^(2) about an axis through its centre. Its angular velocity after 3 s is, (in rad/s)

AAKASH SERIES-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Problems
  1. The angular momentum of rotating body is increased by 20%. What will b...

    Text Solution

    |

  2. A massless string is wrapped around a uniform solid cylinder of mass 3...

    Text Solution

    |

  3. A door of moment of inertia 4kgm^(2) is at rest. When a torque of 2piN...

    Text Solution

    |

  4. A ballet dancer spins about a vertical axis at 120 rpm with arms outst...

    Text Solution

    |

  5. A wheel is rotating with a speed of 500 rpm on a shaft. Second identic...

    Text Solution

    |

  6. The moment of inertia of a fly wheel making 300 revolutions per minute...

    Text Solution

    |

  7. A circular metal disc of mass 200g and radius 20cm makes 10 revolution...

    Text Solution

    |

  8. When 100 J of work is done on a fly wheel, its angular velocity is inc...

    Text Solution

    |

  9. A metal piece of mass 120g is stretched to form a plane rectangular sh...

    Text Solution

    |

  10. A uniform rod AB of mass 'm' length 2a is allowed to fall under gravit...

    Text Solution

    |

  11. A uniform rod of mass 'm' and length 'l' is on the smooth horizontal s...

    Text Solution

    |

  12. A uniform bar of length 6a and mass 8m lies on a smooth horizontal tab...

    Text Solution

    |

  13. A particle is projected at time t=0 from a point 'O' with a speed 'u' ...

    Text Solution

    |

  14. A circular platform is mounted on a vertical frictionless axle. Its ra...

    Text Solution

    |

  15. A uniform cylinder of height h and radius r is placed with its circula...

    Text Solution

    |

  16. A uniform cube of side a and mass m rests on a rough horizontal table....

    Text Solution

    |

  17. A force F is applied on the top of a cube as shown in figure. The coef...

    Text Solution

    |

  18. A uniform spherical shell rolls down a fixed inclined pla ne without s...

    Text Solution

    |

  19. A uniform solid sphere is rolled up a fixed rough inclined surface wit...

    Text Solution

    |

  20. A body of mass 'm' and radius 'r' rolling on a horizontal floor with v...

    Text Solution

    |