Three disks are spinning independently on the same axle without friction. their respective rotational inertias and angular speeds are i,ω (clockwise); 2i,3ω (counterclockwise); and 4i,ω/2 (clockwise). the disks then slide together and stick together, forming one piece with a single angular velocity. what will be the direction and the rate of rotation ωnet of the single piece? express your answer in terms of one or both of the variables i and ω and appropriate constants. use a minus sign for clockwise rotation.

3/7 ω

Explanation:

Initial momentum = final momentum

I(-ω) + (2I)(3ω) + (4I)(-ω/2) = (I + 2I + 4I) ωnet

-Iω + 6Iω - 2Iω = 7I ωnet

3Iω = 7I ωnet

ωnet = 3/7 ω

The final angular velocity will be 3/7 ω counterclockwise.

32: from largest to smallest, this hierarchy includes eons, eras, periods, epochs, and ages.

33: answer is c

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