Measuring Angular Momentum Changes in a Rotational Inertia Experiment

AI Thread Summary
In the discussion on measuring angular momentum changes in a rotational inertia experiment, participants explore the relationship between angular momentum (L), moment of inertia (I), and angular velocity (w). The initial query centers on how to calculate changing angular velocity when inertia varies and the value of angular momentum is unknown. Suggestions include calculating L as a function of time using known parameters like mass and speed during changes in arm position, rather than counting rotations per second, which could yield misleading averages. The conversation emphasizes the complexity of directly measuring angular momentum without knowing the moment of inertia and suggests using a reference body for more accurate measurements. Overall, the discussion highlights the challenges and methods for analyzing angular momentum in dynamic systems.
massb
Messages
1
Reaction score
0
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?
 
Physics news on Phys.org
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?​
 
Hi there, im studying nanoscience at the university in Basel. Today I looked at the topic of intertial and non-inertial reference frames and the existence of fictitious forces. I understand that you call forces real in physics if they appear in interplay. Meaning that a force is real when there is the "actio" partner to the "reactio" partner. If this condition is not satisfied the force is not real. I also understand that if you specifically look at non-inertial reference frames you can...
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
Back
Top