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

`3.5 kg-m^(2)`

C

`4.5 kg-m^(2)`

D

`5.5 kg-m^(2)`

Text Solution

Verified by Experts

`tau=I alphaimplies I=(tau)/(alpha)=(3.14)/(4pi)=2.5kg m^(2)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    CP SINGH|Exercise Exercise|172 Videos

  • RELATIVE MOTION

    CP SINGH|Exercise EXERCISE|33 Videos

  • SIMPLE HARMONIC MOTION

    CP SINGH|Exercise Exercises|125 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?

CP SINGH-ROTATIONAL MOTION-Exercise
  1. If a street light of mass M is suspended from the end of a uniform rod...

    Text Solution

    |

  2. The instantaneous angular position of a point on a rotating wheel is g...

    Text Solution

    |

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

    Text Solution

    |

  4. A string is wound round the rim of a mounted flywheel of mass 20 kg an...

    Text Solution

    |

  5. A wheel having moment of inertia 2 kg m^(2) about its vertical axis, r...

    Text Solution

    |

  6. A flywheel of moment of inertia I is rotating with uniform angular spe...

    Text Solution

    |

  7. The moment of inertia of a body about a given axis is 1.2 kg m^(2). In...

    Text Solution

    |

  8. A wheel of radius 0.4m can rotate freely about its axis as shown in th...

    Text Solution

    |

  9. A mas m hangs with help of a string wraped around a pulley on a fricti...

    Text Solution

    |

  10. In the previous problem, the tension in the string is

    Text Solution

    |

  11. A uniform rod of length l and mass m is free to rotate in a vertical p...

    Text Solution

    |

  12. Two men support a uniform horizontal beam at its two ends, if one of t...

    Text Solution

    |

  13. In first figure a meter stick, half of which is wood and the other hal...

    Text Solution

    |

  14. The density of as rod graduallly decreases from one end to the other. ...

    Text Solution

    |

  15. A circular disc A of radius r is made from an iron plate of thickness...

    Text Solution

    |

  16. A pulley os radius 2m is rotated about its axis by a force F= (20 t- ...

    Text Solution

    |

  17. O is the centre of an equilateral triangle ABC. F(1), F(2) and F(3) ar...

    Text Solution

    |

  18. For a system to be in equilibrium, the torques acting on it must balan...

    Text Solution

    |

  19. Two men A and B are carrying a uniform bar of length L on their should...

    Text Solution

    |

  20. A uniform horizontal meter scale of mass m is suspended by two vertica...

    Text Solution

    |