Rotational Disks
Classical Mechanics
Level
1
Assume there are 2 identical disks with angular velocity of "W" and "O" respectively.The disks are then combined into one disk.What will be the angular velocity "L" ?
2W+2O
W +O ×1/2
W+O
2WO
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1 solution
The moment of inertia of both disk is the same :"I" Angular momentum of each disk =I×O & I×W Disks are combined into one,therefore the moment of inertia is equal to 2I.Angular momentum is conserved therfore: I×W+I×O = 2I×L W+O/2=L