Home
Class 11
PHYSICS
A wheel of mass 8 kg has moment of inert...

A wheel of mass 8 kg has moment of inertia equals to `0.5 "kg-m"^(2)`. Determine its radius of gyration.

Text Solution

Verified by Experts

Given, mass , `M= 8 kg`
Moment of Inertia, `I=0.5 "kg-m^"(2)`
`because I=MK^(2)rArrK^(2)=(I)/(M)rArrK=sqrt((I)/(M))`
`rArr` Radius of gyration, `K=sqrt((0.5)/(8))rArr K=0.25 m or K=25` cm.
Promotional Banner

Topper's Solved these Questions

  • ROTATION

    DC PANDEY|Exercise Check point 9.1|20 Videos
  • ROTATION

    DC PANDEY|Exercise Check point 9.2|20 Videos
  • RAY OPTICS

    DC PANDEY|Exercise Integer type q.|15 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Subjective Questions|2 Videos

Similar Questions

Explore conceptually related problems

A wheel of mass 10 kg has a moment of inertia of 160 kg-m^(2) about its own axis, the radius of gyration will be

A fly wheel of mass 4 kg has moment of inertia 16 kg m^(2) , then radius of gyration about the central axis perpendicular to its plane is

A balance-wheel of a watch has a moment of inertia equal to 2 xx 10^(-8) kg m^(2) . When it is rotated by 30^(@) , a restoring torque of 5.13 xx 10^(-6) Nm is generated, calculate its frequency of oscillations.

A torque of 30 N-m is acting on a wheel of mass 5 kg and moment of inertia 2 kg-m​^(2) ​. If wheel starts rotating from rest then its angular displacement in 10 seconds will be-

The fly wheel of a motor has a moment of inertia of 90 kg-m^(2) . If the motor produces a constant torque of 270 N-m, then the angular acceleration produced in the fly wheel.

If the moment of inertia of a rigid body is numerically equal to its mass, radius of gyration is

Consider the situation as shown in the figure. The moment of inertia of wheel is 2 kg m^(2) and its radius is 0.25 m . Find the angular acceleration of the wheel, assuming no slipping.

A bicycle wheel of radius 0.3 m has a rim of mass 1.0 kg and 50 spokes, each of mass 0.01 kg. What is its moment of inertia about its axis of rotation ?

A 50 kg rider on a moped of mass 75 kg is traveling with a speed of 20 m/s. Each of the two wheels of the moped has a radius of 0.2 m and a moment of inertia of 0.2kg*m^(2) . What is the total rotational kinetic energy of the wheels?

DC PANDEY-ROTATION-(C) Chapter Exercises
  1. A wheel of mass 8 kg has moment of inertia equals to 0.5 "kg-m"^(2). D...

    Text Solution

    |

  2. A wheel of radius 10 cm can rotate freely about its centre as shown in...

    Text Solution

    |

  3. From a disc of radius R and mass M, a circular hole of diameter R, who...

    Text Solution

    |

  4. A disc and a solid sphere of same radius but different masses roll off...

    Text Solution

    |

  5. A uniform circular disc of radius 50 cm at rest is free to turn about ...

    Text Solution

    |

  6. A mass m moves in a circles on a smooth horizontal plane with velocity...

    Text Solution

    |

  7. Three identical spherical shells each of mass m and radius r are place...

    Text Solution

    |

  8. A uniform metallic rod rotates about its perpendicular bisector with ...

    Text Solution

    |

  9. A massless rod S having length 2l has equal point masses attached to i...

    Text Solution

    |

  10. A particle travels in a circle of radius 20 cm at a uniformly increasi...

    Text Solution

    |

  11. A solid sphere of radius r r is rolling on a horizontal surface. The r...

    Text Solution

    |

  12. If two circular discs A and B are of same mass but of radii r and 2r r...

    Text Solution

    |

  13. Choose the wrong statement.

    Text Solution

    |

  14. Two particle A and B are moving as shown in the figure Their tota...

    Text Solution

    |

  15. A rod of mass 5 kg is connected to the string at point B. The span of ...

    Text Solution

    |

  16. A particle moves with a constant velocity parallel to the X-axis. Its ...

    Text Solution

    |

  17. A ring of radius 0.5 m and mass 10 kg is rotating about its diameter w...

    Text Solution

    |

  18. A uniform sphere of mass 500 g rolls without slipping on a plane surfa...

    Text Solution

    |

  19. A rotating wheel changes angular speed from 1800 rpm to 3000 rpm in 20...

    Text Solution

    |

  20. The moment of inertia of ring about an axis passing through its diamet...

    Text Solution

    |

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

    Text Solution

    |