Home
Class 11
PHYSICS
A constant torque of 31.4 N-m id exterte...

A constant torque of `31.4 N-m` id exterted on a pivoted wheel. If the angular acceleration of the wheel is `4 pi rad//s^2`, then the moment of inertia will be.

A

`2.5 kg m^2`

B

`4.5 kg m^2`

C

`3.5 kg m^2`

D

`5.5 kg m^2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • System of particles & rotational Motion

    SL ARORA|Exercise EXERCISE|353 Videos

  • ROTATIONAL MOTION

    SL ARORA|Exercise Problem for self practice|90 Videos

  • Thermal Properties of Matter

    SL ARORA|Exercise Exercise|449 Videos

Similar Questions

Explore conceptually related problems

A constant torque of 31.4 Nm is applied to a pivoted wheel. If the angular acceleration of the wheel is 2pi" rad/s"^(2) , then its moment of inertia is

If a torque of magnitude 100 Nm acting on a rigid body produces an angular acceleration of 2 rad//s^(2) , then the moment of inertia of that body will be

A constant net torque equal to 20 N-m is exerted on a pivoted wheel for 8 sec, during which time the angular velocity of the wheel increases from zero to 100 re // min. The external torque is then removed and the wheel is brought to rest by friction in its bearings in 70 sec. Compute (a) the moment of inertia of the wheel about the rotation axis, (b) the friction torque(c)thetotal no. of revolutions made by the wheel in the70 sec time interval

The torque acting is 2000 Nm with an angular acceleration of 2rad//s^(2) . The moment of inertia of body is

A cord is wound around the circumference of a wheel of diameter 0.3 m. The axis of the wheel is horizontal. A mass of 0.5 kg is attached at the end of the cord and it is allowed to fall from rest. If the weight falls 1.5 m in 4s, what is the angular acceleration of the wheel ? Also find out the moment of inertia of the wheel.

A torque of 100 Nm acting on a wheel at rest, rotates it through 200 radians in 10 s. The angular acceleration of the wheel, in rad//s^(2) is

The torque needed to produce an angular acceleration of 18rad/ "sec"^2 in a body of moment of inertia 2.5kg- m^2 would be -

A torque of 2.0 xx 10^(-4) Nm is applied to produce an angular acceleration of 4 "rad s"^(-2) in a rotating body. What is the moment of inertia of the body ?

If a 42.0N*m torque on a wheel causes angular acceleration 25.0rad//s^(2) , what is the wheel's rotational inertia?

SL ARORA-System of particles & rotational Motion-EXERCISE
  1. The angular momentum of a body with mass (m) moment of inertia (I) and...

    Text Solution

    |

  2. Moment of inertia of a body is 1 kg m2. If the body makes 2 revolution...

    Text Solution

    |

  3. A constant torque of 31.4 N-m id exterted on a pivoted wheel. If the a...

    Text Solution

    |

  4. A particle performs uniform circular motion with an angular momentum L...

    Text Solution

    |

  5. Two bodies have their moments of inertia I and 2 I respectively about ...

    Text Solution

    |

  6. The angular momentum of a system of particles is conserved

    Text Solution

    |

  7. The motion of planets in the solar system is an exmaple of the conserv...

    Text Solution

    |

  8. A diver in a swimming pool bends his head before diving, because it

    Text Solution

    |

  9. If a person standing on a rotating disc stretches out his hands, the a...

    Text Solution

    |

  10. A dancer is rotating on smooth horizontal floor with an angular moment...

    Text Solution

    |

  11. A round disc of moment of inertia I2 about its axis perpendicular to i...

    Text Solution

    |

  12. A uniform disc of mass M and radius R is rotating in a horizontal plan...

    Text Solution

    |

  13. A thin circular ring of mass m and radius R is rotating about its axis...

    Text Solution

    |

  14. A loop of mass M and radius R is rolling on a smooth horizontal surfac...

    Text Solution

    |

  15. A sphere of moment of inertia 'I' and mass 'm' rolls down on an inclin...

    Text Solution

    |

  16. A disc is rolling without slipping. The ratio of its rotational kineti...

    Text Solution

    |

  17. A solid sphere is rolling without slipping on a horizontal plane. The ...

    Text Solution

    |

  18. A disc is rolling on the inclined plane. What is the ratio of its rota...

    Text Solution

    |

  19. A disc of mass 4.8 kg and radius 1 m is rolling on a horizontal surfac...

    Text Solution

    |

  20. A liquid is kept in a cylindrical jar, which is rotated about the cyli...

    Text Solution

    |