Home
Class 11
PHYSICS
The rotational K.E. of a body is given b...

The rotational K.E. of a body is given by `(1)/(2) I omega^2.` Use this equation to obtain the dimensions of I.

Text Solution

Verified by Experts

`I= [ML^2]`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CONCEPTUAL QUESTIONS|27 Videos
  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise TOUGH AND TRICKY PROBLEMS|6 Videos
  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos
  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos
  • WAVES

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

Moment of inertia of a body about a given axis is the rotational inertia of the body about that axis. It is respresented by I = MK^(2) , where M is mass of body and K is radius of gyration of the body about that axis. It is a scalar quantity, which is measured in kg m^(2) . when a body rotates about a given axis, and teh axis of rotates also moves, then total K.E. of body = K.E. of translation + K.E. of rotation E = (1)/(2)mv^(2) + (1)/(2)I omega^(2) Which the help of the compreshension given above, choose the most apporpriate altermative for each of the following questions : Kinetic energy of rotation of the flywheel in the above case is

Moment of inertia of a body about a given axis is the rotational inertia of the body about that axis. It is respresented by I = MK^(2) , where M is mass of body and K is radius of gyration of the body about that axis. It is a scalar quantity, which is measured in kg m^(2) . when a body rotates about a given axis, and teh axis of rotates also moves, then total K.E. of body = K.E. of translation + K.E. of rotation E = (1)/(2)mv^(2) + (1)/(2)I omega^(2) Which the help of the compreshension given above, choose the most apporpriate altermative for each of the following questions : Moment of inertia of a body depends on (i) mass of body (ii) size and shape of body (iii) axis of rotation of body (iv) all the above

Moment of inertia of a body about a given axis is the rotational inertia of the body about that axis. It is respresented by I = MK^(2) , where M is mass of body and K is radius of gyration of the body about that axis. It is a scalar quantity, which is measured in kg m^(2) . when a body rotates about a given axis, and teh axis of rotates also moves, then total K.E. of body = K.E. of translation + K.E. of rotation E = (1)/(2)mv^(2) + (1)/(2)I omega^(2) Which the help of the compreshension given above, choose the most apporpriate altermative for each of the following questions : A circular disc and a circular ring of same mass and same diameter have, about a given axis,

Moment of inertia of a body about a given axis is the rotational inertia of the body about that axis. It is respresented by I = MK^(2) , where M is mass of body and K is radius of gyration of the body about that axis. It is a scalar quantity, which is measured in kg m^(2) . when a body rotates about a given axis, and teh axis of rotates also moves, then total K.E. of body = K.E. of translation + K.E. of rotation E = (1)/(2)mv^(2) + (1)/(2)I omega^(2) Which the help of the compreshension given above, choose the most apporpriate altermative for each of the following questions : A 40 kg flywheel in the from of a unifrom circular disc of diameter 1 m is making 120 rpm . Its moment of inertia about a transverse axis through its centre is

The equation of a wave is given by Y = A sin omega((x)/(v) -k) where omega is the angular velocity and v is the linear velocity. The dimension of k is

The equation of a wave is given by Y = A sin omega ((x)/(v) - k) , where omega is the angular velocity and v is the linear velocity. Find the dimension of k .

The equation of a wave is given by y = a sin omega [(x)/v -k] where omega is angular velocity and v is the linear velocity . The dimensions of k will be

The linear velocity of a rotating body is given by vec(v)= vec(omega)xxvec(r ) , where vec(omega) is the angular velocity and vec(r ) is the radius vector. The angular velocity of a body is vec(omega)= hat(i)-2hat(j)+2hat(k) and the radius vector vec(r )= 4hat(j)-3hat(k) , then |vec(v)| is

The linear velocity of a rotating body is given by vec(v)=vec(omega)xxvec(r) , where vec(omega) is the angular velocity and vec(r) is the radius vector. The angular velocity of a body is vec(omega)=hat(i)-2hat(j)+2hat(k) and the radius vector vec(r)=4hat(j)-3hat(k) , then |vec(v)| is-

MODERN PUBLICATION-UNITS AND MEASUREMENT-PRACTICE PROBLEMS
  1. How will you convert SI unit of enregy (Joule) to CGS unit of energy (...

    Text Solution

    |

  2. It has been observed that velocity of ripple waves produced in water (...

    Text Solution

    |

  3. Find the units of mass and length if the unit of force is Mega Newton,...

    Text Solution

    |

  4. The depth x to which a bullet penetrates a human body depends on (i) c...

    Text Solution

    |

  5. Calculate the value of 1 J/sec in a system having 10g, 10cm and 1 min....

    Text Solution

    |

  6. Assume that the largest stone of mass 'm' that can be moved by a flowi...

    Text Solution

    |

  7. The frequency (V) of an oscillating drop may depends upon radius (r ) ...

    Text Solution

    |

  8. Check the accuracy of relation P=puv^(-3) P is linear momontum, p is d...

    Text Solution

    |

  9. Check the accuracy of the relation eta= (pi)/(8)(Pr^4)/(lV) Here, P ...

    Text Solution

    |

  10. Find the dimensions of resistance in terms of mass, length, time and c...

    Text Solution

    |

  11. Check by the method of dimensions, the formula v = (1)/(lambda)sqrt((...

    Text Solution

    |

  12. Assuming that the critical velocity of flow of a liquid through a narr...

    Text Solution

    |

  13. The rotational K.E. of a body is given by (1)/(2) I omega^2. Use this ...

    Text Solution

    |

  14. If force (F) velocity (V) and time (T) are taken as fundamental units,...

    Text Solution

    |

  15. Test if following equation is equation is dimensionally correct v=(1)/...

    Text Solution

    |

  16. The distance covered by a particle in time t is given by x=at+bt^(2)+...

    Text Solution

    |

  17. Find the value of p in the relation tau = (YL^(p))/(cos theta) where...

    Text Solution

    |

  18. Find the dimensions of V in the equation y= A sin omega((x)/(V)-k)

    Text Solution

    |

  19. A physical quantity X is defined by the formula X=(IFv^(2))/(WL^(3))...

    Text Solution

    |

  20. IF in0 is electric permittivity of free space and E is electric field...

    Text Solution

    |