Cannot understand dL/dt (angular momentum changes)

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Understanding the rate of change of angular momentum, particularly when a torque is applied to a rotating disk, can be complex. When torque is applied in a direction different from the angular momentum vector, it can cause the disk to change orientation rather than just its rotational speed. This phenomenon is related to gyroscopic precession, where the direction of angular momentum changes without a corresponding change in the rate of rotation. The discussion highlights that a given angular momentum does not uniquely determine the rotation vector, as multiple rotations can yield the same angular momentum. Clarifying these concepts is essential for grasping the dynamics of rotating bodies under torque.
  • #31
Thanks, got it! :)
 
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  • #32
TonyEsposito said:
Thanks, got it! :)
@TonyEsposito We'd be interested in the result that you computed. Does the computed rotation that occurs in the time of ## t=1.0 ## seconds now agree reasonably well with the experimental observation? ## \\ ## With calculations by hand, without a calculator, I got an answer in the ballpark of ## 370^o ##.
 
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  • #33
yes, everything in agreement
 
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  • #34
TonyEsposito said:
Sorry guys, one last question...we are doing a very simple lab experiment, we have a disk rotating around is axis with a weight acting on it (the very basic experiment)...the disk have a mass of 0.1 Kg, the radius is 0.3 so the Inertia is 0.5*0.1*0.3^2=0.0045 the torque acting is 0.1 so the angular acceleration is:
acc=0.1/0.0045=22.22

Ok so far (you should state your units though).

so in one second the rotation done is: 0.5*0.22*1^2*(180/Pi)=636 Degrees...but this result is nosense, too large...what I'm doing wrong?

The angular displacement is indeed 0.5*α*t2 = 11.11 Radians= 636 degrees.

Are you sure the torque is 0.1Nm ? Remember the weight isn't just hanging on the rope it's falling.

Edit: Sorry I seem to have missed some replies.
 
  • #35
Sorry guysi will be honest...i have posted the question trying to extrapolate an information...al the data was made up on the spot, thanks anyway
 
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