Mood:

Im thinking at least more than half of us wanna switch class/recitation or lab sections for Physics Two, so please post your requests here and hopfully someone else's needs will match what you have/want
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Im thinking at least more than half of us wanna switch class/recitation or lab sections for Physics Two, so please post your requests here and hopfully someone else's needs will match what you have/want
for the first part,
rotational kinetic energy=.5*moment of inertia*(omega^2)
moment of inertia = .5mr^2 because u r dealing with a solid cylinder.
therefore, KE=.5*(.5mr^2)*(omega^2)
Find the tangental acceleration of circle A, because that will be the acceleration of the belt. tan acceleration = r*angular acceleration
then take this number, and find the angular acceleration of circle C by plugging in to the exact same equation, but use the radius of C and solve for alpha.
Once u have alpha for C, then the equation is just alpha=omega/t, and solve for t
For the "Torque on a merry go round," for the first part: the total torque(t)=the sum of all of the moments of inertia * the angular acceleration.
Find the acceleration by dividing your angular velocity ( remember to change to rad/s) by your time.
Then just add up the moments of inertia: for each child it's mr^2, but since the merry go round is a solid cylinder, it's moment of inertia is .5mr^2.
Hope that helps