हिंदी

Define Moment of Inertia. State Its Si Unit and Dimensions - Physics

Advertisements
Advertisements

प्रश्न

Define moment of inertia. State its SI unit and dimensions.

Define moment of inertia of a rotating rigid body. State its SI unit and dimensions.

संक्षेप में उत्तर
Advertisements

उत्तर

The moment of inertia of a rotating rigid body is the sum of the product of each point mass and square of its distance from the axis of rotations.

S.I unit = kg m2

Dimention = [M1 L2 T0]

shaalaa.com
Angular Momentum or Moment of Linear Momentum
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2021-2022 (March) Set 1

संबंधित प्रश्न

Obtain an expression for the torque acting on a rotating body with constant angular acceleration. Hence state the dimensions and SI unit of torque.


Obtain an expression for torque acting on a body rotating with uniform angular acceleration.


A stone is tied to one end of a string. Holding the other end, the string is whirled in a horizontal plane with progressively increasing speed. It breaks at some speed because ______ 


A 500 kg car takes a round turn of the radius of 50m with a velocity of 36 km/hr. The centripetal force is ______.


A flywheel is revolving with a constant angular velocity. A chip of its rim breaks and flies away. What will be the effect on its angular velocity?


A flywheel of mass 8 kg and radius 10 cm rotating with a uniform angular speed of 5 rad/sec about its axis of rotation, is subjected to an accelerating torque of 0.01 Nm for 10 seconds. Calculate the change in its angular momentum and change in its kinetic energy. 


A stone of mass 1 kg is rotated in a horizontal circle of radius 0.5 m. If it makes `100/pi` rps, then its angular momentum is ______


A charged particle (charge = q: mass = m) is rotating in a circle of radius 'R' with uniform speed 'v'. The ratio of its magnetic moment (M) to the angular momentum (L) is ______


If the angular momentum of a body increases by 50%, then its kinetic energy of rotation increases by ______ (M.I. remains constant)


A thin metal wire of length 'L' and uniform linear mass density 'ρ' is bent into a circular coil with 'O' as centre. The moment of inertia of a coil about the axis XX' is ______.


The angular momentum of electron in hydrogen atom is proportional to ____________.


If the kinetic energy of rotation of a body is doubled, then its angular momentum ____________.


The ratio of the dimensions of Planck's constant to that of moment of inertia is the dimensions of ______.


If the angular momentum of an electron is `vec"J"` then the magnitude of the magnetic moment will be ____________.


A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis (which is fixed) with an angular velocity of 4 radian/s. The linear momentum of the disc is ____________.


Earth revolves round the sun in a circular orbit of radius 'R'. The angular momentum of the revolving earth is directly proprtional to ______.


The direction of angular momentum of particle is ____________.


An electron of mass 'm' revolving around the nucleus in a circular orbit of radius 'r' has angular momentum 'L'. The magnetic field produced by the electron at the centre of the orbit is e = electric charge, µ0 = permeability of free space ____________.


An electron in an atom is revolving round the nucleus in a circular orbit of radius 5.3 × 10-11 m with a speed of 3 × 106 m/s. Find the angular momentum of electron.


A wheel of moment of inertia 2 kg m2 is rotating about an axis passing through centre and perpendicular to its plane at a speed 60 rad/s. Due to friction, it comes to rest in 5 minutes. The angular momentum of the wheel three minutes before it stops rotating is ______. 


A disc of moment of inertia 'I1' is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane with constant angular speed 'ω1'. Another disc of moment of inertia 'I2' having zero angular speed is placed co-axially on a rotating disc. Now, both the discs are rotating with constant angular speed 'ω2'. The energy lost by the initial rotating disc is ______.


A body is rotating about its own axis. Its rotational kinetic energy is x and its angular momentum is y, hence its moment of inertia about the axis is ______.


Define angular momentum.


Calculate the change in angular momentum of the electron when it jumps from third orbit to first orbit in hydrogen atom.
(Take h = 6.33 × 10−34 Js)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×