obtain an expression for angular momentum of rotating body with constant angular velocity
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A system rotating with an angular momentum in presence of a torque suffers a change in the angular momentum and the rate of change of angular momentum is directly proportional to the torque acting on it.
If I be the moment of inertia of the system and ω be the angular velocity then angular momentum L=Iω
Rate of change of angular momentum provided the shape of system does not change is :
τ=
dt
d
(Iω)=I
dt
dω
=Iα
α is the angular acceleration and τ is the torque.
Dimension of Torque is [ML
2
T
−2
] and its unit is Newton- metre (N⋅m).
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