Calculating Torque: Angular Moment of Inertia, CoF & Shaft Dia

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To calculate the torque required to achieve an angular velocity of pi radians/second for a rectangular marble slab, one must first determine the angular acceleration using the formula τ = Iα, where I is the angular moment of inertia. The slab's angular moment of inertia is given as 200 kg-m², and the coefficient of friction from the bearings is 0.2. The frictional torque must be accounted for by subtracting it from the applied torque to maintain the desired angular velocity. The distance between supports and the shaft diameter also play a role in the overall torque calculation. Understanding these factors is essential for accurate torque computation.
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Calculating Torque??

i wonder how would i calculate the amount of torque required to give a rectangular piece of marble, an angular velocity of pi radians/second given the angular moment of inertia of that slab.

The bearing supports holds a coefficient of friction of 0.2 and the shaft diameter is 20mm. the angular moment of inertia of the slab about the rotation axis is 200 kg-m2. The distance between supports is 1 meter and the slab is in the center of the shaft.

Regards
 
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hi mawais15! :smile:
mawais15 said:
i wonder how would i calculate the amount of torque required to give a rectangular piece of marble, an angular velocity of pi radians/second given the angular moment of inertia of that slab.

torque gives you angular acceleration (τ = Iα), not angular velocity …

once you find the angular acceleration, you can get the angular velocity using the standard constant acceleration equations :wink:
 


tiny-tim said:
hi mawais15! :smile:


torque gives you angular acceleration (τ = Iα), not angular velocity …

once you find the angular acceleration, you can get the angular velocity using the standard constant acceleration equations :wink:

how about incorporating the bearing friction to maintain the desired angular velocity?
 
the friction with the bearings is a torque also, so you just subtract it from the applied torque
 


but i the question is that how much torque do i have to apply..
 
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