Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

Define moment of inertia in terms of kinetic energy of rotation.
Asked by Topperlearning User | 11 Aug, 2014, 02:44: PM
answered-by-expert Expert Answer

Let us find out an expression for the kinetic energy of a rotating body-

Consider a rigid body rotating in XY plane about Z-axis, with uniform angular velocity ω.

Let the body consist of particles of masses m1,m2,m3,..... mn at perpendicular distances r1,r2,r3,.......rn from the axis of rotation.As the body is rigid , all particles complete one revolution in same time. i.e ω is the same for all particles.

 
 
The K.E. of the ith particle due to rotation=
                                                                
The K.E. of the body =
or (K.E.)rot =
or (K.E.)rot =
If we put =1, in equation (1), then
 
  
Hence moment of inertia of a body is equal to twice the K.E. of rotation of body rotating with unit angular speed.
Answered by | 11 Aug, 2014, 04:44: PM
CBSE 11-science - Physics
Asked by devanshchauhan325 | 23 Dec, 2022, 07:34: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by Topperlearning User | 11 Aug, 2014, 01:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by Topperlearning User | 11 Aug, 2014, 01:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by Topperlearning User | 11 Aug, 2014, 02:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×