MOMENT OF INERTIA
2
ii
I
mr
=
∑
Moment of Inertia
The rotational KE can now be expressed in terms of the Moment of Inertia:
2
1
2
R
KI
ω
=
Rotational Kinetic Energy
a)
The SI unit of ‘I’ is the kg m
2
b)
‘I’ is the rotational analog of mass.
2
1
2
T
K
mV
=
Translational Kinetic Energy
mI
V
≈
≈
Just as mass is a measure of the tendency of resistance of an object to changes in its linear
motion, we can say that:
c)
Moment of Inertial is a measure of the tendency of resistance of an object to changes in its
rotational motion.
±
The larger ‘I’, the larger the tendency of resistance to changes in its rotational motion
±
The smaller ‘I’, the smaller the tendency of resistance to changes in its rotational motion
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This note was uploaded on 09/02/2011 for the course PHYS 2A taught by Professor Luna during the Fall '09 term at DeAnza College.
 Fall '09
 Luna
 Energy, Inertia, Kinetic Energy, Mass

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