Understand Angular Momentum - Help from a Teacher for Eraniamayomii

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SUMMARY

The discussion centers on the concept of angular momentum, defined as a vector quantity that equals the mass of a particle multiplied by the cross product of its position vector and velocity vector. Key examples include the behavior of a figure skater, where pulling in arms increases spin speed due to conservation of angular momentum. The conversation emphasizes the importance of understanding angular momentum in practical scenarios, such as the effects of internal work and external forces like friction on rotational motion.

PREREQUISITES
  • Understanding of vector quantities in physics
  • Basic knowledge of cross products and their applications
  • Familiarity with the concept of conservation of angular momentum
  • Awareness of external forces and torques affecting motion
NEXT STEPS
  • Study the mathematical formulation of angular momentum in classical mechanics
  • Explore the relationship between angular momentum and rotational kinetic energy
  • Learn about the effects of external torques on angular momentum
  • Investigate real-world applications of angular momentum in astrophysics and engineering
USEFUL FOR

Students of physics, educators seeking to explain angular momentum, and anyone interested in the principles of rotational motion and its applications in real-world scenarios.

Eraniamayomii
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"In physics, the angular momentum of a particle about an origin is a vector quantity equal to the mass of the particle multiplied by the cross product of the position vector of the particle with its velocity vector. The angular momentum of a system of particles is the sum of that of the particles within it."

This is the basic Wiki definition of angular momentum. I was wondering if someone "perhapse a teacher" could put this into words I understand. I know that this can be translated into a more understandable words.

I firmly ask that you do not tell me to wait until I go to college to study this. I know that I can learn it if I try, and ask enough questions.

Lastly, I'm sorry for my spelling errors. I usually use my cell phone which has spell check. I currently am on my computer though. Please excuse my spelling.


Love,

Eraniamayomii



EDIT:

I'm sorry. Please let me explain what I know about angular momentum.

I know that angular momentum is what makes a ice scater spin faster as she brings her arms in and gets lower to the ground. I know that as a star or planetoid becomes more dense, it gains speed, and as it explands, it loses speed. I also know that the our solar system has slowed down the rotation of the sun due to angular momentum.
 
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The example of a figure skater is conservation of angular momentum. If an object or system of objects is not acted upon by an external force, then angular momentum is conserved. As mentioned in the wiki article, angular momentum is the product of radius times speed. If only internal work is done, then any change in radius requires an inverse change in speed. For example, if the radius is decreased to 1/2 of it's original length, then speed is increased to twice the original speed. This change requires internal work to be done, because angular kinetic energy changes even though angular momentum remains the same. In the figure skater example, internal work is done when the skater pull in her arms, and the amount of work done determines the increase in angular kinetic energy (rotational energy).

Note that the figure skate example only works in the idealized case where there is no friction from the ice. In real life, the rate of rotation decreases over time because friction in the ice applies an external torque to the skate.
 
How about this? In the passage you quoted from Wikipedia, tell us the first word you don't understand, and someone can try to explain it, or at least point you to places where you can read about it. Then we can move on to the next word you don't understand, etc.

It's kind of hard to put things in understandable terms (for you) if we don't have any idea of what, specifically, you don't understand, and what you're capable of understanding with your current background.
 

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