Angular velocity of object after being subjected to torque

AI Thread Summary
The discussion focuses on calculating the angular velocity of an object subjected to torque, specifically through integration of torque over time. A participant suggests using the relationship τ = Iα, where torque is related to angular acceleration. They express confusion about the mathematical process needed to integrate torque and find the change in angular velocity. Another participant emphasizes the need to define torque as a function of angular position (θ) for proper analysis. The conversation highlights the complexities of applying infinitesimal calculus to this physics problem.
serverxeon
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In particular I am only looking at part c.

I know the simpler approach is to use energy.

But I am thinking if i can do an integration of all the torque throughout the process, and hence find the integration of the net angular acceleration and find the resultant change in angular velocity.

But I have no idea how to do the mathematics. Can anyone show me how the mathematics is done?
 
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hi serverxeon! :smile:
serverxeon said:
… if i can do an integration of all the torque throughout the process, and hence find the integration of the net angular acceleration and find the resultant change in angular velocity.

But I have no idea how to do the mathematics. Can anyone show me how the mathematics is done?

τ = Iα …

torque (of the weight) = 1/3 ML2 d2θ/dt2 :wink:​
 
tiny-tim said:
hi serverxeon! :smile:


τ = Iα …

torque (of the weight) = 1/3 ML2 d2θ/dt2 :wink:​

hey thanks for the help.

sorry but I still don't know how to go on from here!

could you elaborate a bit further!

In particular I was looking at using the 'infinitesimal' dτ or dα approach.
 
serverxeon said:
In particular I was looking at using the 'infinitesimal' dτ or dα approach.

there is no dτ or dα in this situation :confused:

use torque (of the weight) = 1/3 ML2 d2θ/dt2 …

what is the torque? (as a function of θ)​
 

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