Cannot understand dL/dt (angular momentum changes)

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Discussion Overview

The discussion revolves around the rate of change of angular momentum, particularly in the context of a rotating disk and the effects of applied torque. Participants explore the implications of torque on the orientation and behavior of the disk, questioning how changes in angular momentum relate to changes in rotation and orientation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant describes the relationship between angular momentum (L), torque (M), and angular velocity (w), expressing confusion about why the disk changes orientation when torque is applied.
  • Another participant explains that if torque is in the same direction as angular momentum, the disk will speed up or slow down without changing its axis of rotation.
  • Concerns are raised about the stability of rotation axes and how not all axes of rotation are stable, leading to potential changes in orientation.
  • Some participants suggest that the original poster (OP) may be confused by the gyroscopic phenomenon, particularly precession, where the axis of rotation behaves unexpectedly under torque.
  • There is a discussion about whether a given angular momentum uniquely determines the rotation vector, with some participants arguing that inherent angular momentum affects how a body responds to applied torque.
  • One participant emphasizes that the change in angular momentum involves both the change in direction and magnitude, suggesting that the inherent angular momentum complicates the relationship between torque and rotation.

Areas of Agreement / Disagreement

Participants express various interpretations of how torque affects rotation and orientation, indicating that multiple competing views remain. There is no consensus on the specifics of how angular momentum changes relate to the observed behavior of the disk.

Contextual Notes

Some participants reference the concept of precession and the stability of rotation axes, suggesting that these factors may influence the discussion but do not resolve the underlying questions about angular momentum and 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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