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Angular Momentum
In our comparison of linear and angular quantities we suggested that there might be a quantity "angular momentum", (symbol L) equivalent to linear momentum.  
   
"Translating" from the linear equation gave us  
 
We might also expect to find a "principle of conservation of angular momentum".  
   
Consider the ice skater shown below.  
 
With arms and leg outstretched, the skater's initial moment of inertia, is relatively large.  
Suppose the skater starts rotating with a low initial angular velocity ωinitial.  
The skater then gradually decreases her moment of inertia by bringing arms and leg nearer to the axis of rotation.  
Her angular velocity is observed to increase.  
This is easily explained if we consider that the personís angular momentum does not change.  
So, we will suggest that  
 
This relation is confirmed by experiment.  
   
Therefore, we can state the principle of conservation of angular momentum  
The total angular momentum of a system remains constant as long as no external torque acts on the system.  
   
Click here for two other examples of the principle of conservation of angular momentum.  
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