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3. find the relation between the angular velocities i and f...

# Question: find the relation between the angular velocities i and f...

###### Question details

Find the relation between the angular velocities ωi and ωf as a function of the moment of inertia of disk “A”, disk “B” and the moment of inertia of the 3-step pulley? If we assume that the disks A and B are the same and for the purpose of this exercise the moment of inertia of the 3-step pulley is neglected, then what is the ratio of ωf/ωi? (express the value with one decimal place)

There iss no diagram given for is .however we are supposed to read this thing below.

Activity 2 is all about Conservation of Angular Momentum, which is a consequence of the fact that the net torque applied on an object in rotation is zero. The net torque is defined as: change in L /change in teime, where L is defined as the total Angular Momentum. This implies that the change in the total angular momentum L is zero (∆ L = 0). In this activity, you will rotate an aluminum disk “A” placed on the 3-step pulley of the Vernier rotary sensor, by applying a torque to the disk and then let it go. The disk “A” will rotate at almost a constant angular speed called Wi. It is understood that after letting the disk “A” go, the net sum of the torques applied on the disk is zero. Then, it happens that we decided to add another disk (“B”) on top of the first disk. Hence, the whole system (disk “A” + disk “B”) will rotate with a different angular speed called Wf. Therefore, it is possible to use conservation of the angular momentum to find the relation between the two angular velocities (see pre-lab question #5).