Measuring Angular Momentum Changes in a Rotational Inertia Experiment

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SUMMARY

The discussion centers on measuring angular momentum changes in a rotational inertia experiment, specifically using the formula L = Iw, where L is angular momentum, I is moment of inertia, and w is angular velocity. Participants emphasize that directly measuring angular momentum can be challenging without knowing the moment of inertia. Instead of counting rotations per second, which may yield inaccurate average values, it is suggested to calculate angular momentum as a function of time by knowing both L and w at specific instances during the experiment.

PREREQUISITES
  • Understanding of angular momentum (L = Iw)
  • Knowledge of moment of inertia and its calculation
  • Familiarity with angular velocity and its measurement
  • Basic principles of rotational dynamics
NEXT STEPS
  • Research methods for accurately measuring moment of inertia in experiments
  • Learn about angular momentum conservation principles in rotational systems
  • Explore techniques for real-time measurement of angular velocity
  • Investigate the use of reference bodies for angular momentum transfer
USEFUL FOR

Physics students, experimental physicists, and educators interested in rotational dynamics and angular momentum measurement techniques.

massb
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In my experiment based on the inertia the angular velocity or speed goes either up or down with the angular momentum remaining the same. I understand that when a person is rotating to change the inertia you would either extend or detract the arms and legs (think dancer). I understand this concept and even somewhat how the calculate it except my angular momentum.

L=Iw since my inertia is changing how do I find the changing w(angular momentum) if I don't know the value of the L(angular momentum) yet. Would I just physically count the number of rotations per second in radians for each time the inertia is changed?
 
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Hi welcome to phy forum(everyone does that so i did it too for your first post)
Well you don't know the L now but i hope that you know the speed at which the dancer is expanding her/his arms(& her mass and her arms mass...etc). So you will calculate L(t) as a function output of time and you must know both L & w at some instant (maybe before after she moves her arms)simultaneously, this way you will know w(t).

NOOOOOOOO! don't count the number of rotation per second, I have no grudge over counting but it will give an average w over a time of 1 sec, which will be hazardous if w is not constant.
 
welcome to pf!

himassb! welcome to pf! :smile:
massb said:
In my experiment … I understand this concept and even somewhat how the calculate it except my angular momentum.

L=Iw since my inertia is changing how do I find the changing w(angular momentum) if I don't know the value of the L(angular momentum) yet. Would I just physically count the number of rotations per second in radians for each time the inertia is changed?

angular momentum is difficult to measure directly (if you don't know the moment of inertia)

the only convenient way i can think of is to transfer all the angular momentum to a "reference" body

what exactly is your experimental set-up?​
 

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