Calculate angular velocity of a ball

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SUMMARY

The discussion focuses on calculating the angular velocity of a 3D ball subjected to an external force 'F' applied at a specific point 'P'. The key takeaway is that the distance from the center of the ball to the point of force application, denoted as radius 'R', significantly influences the angular velocity across the X, Y, and Z axes. The user references the formula for angular velocity from Wikipedia and seeks guidance on calculating the necessary vector information for real-time simulation. Additionally, a recommendation is made to consult "Modern Quantum Mechanics" by J.J. Sakurai for further understanding of rotations in three-dimensional space.

PREREQUISITES
  • Understanding of angular velocity and its mathematical representation
  • Familiarity with vector calculations in three-dimensional space
  • Basic knowledge of physics principles related to force and motion
  • Experience with real-time simulation concepts
NEXT STEPS
  • Study the mathematical derivation of angular velocity formulas
  • Learn about vector cross products and their application in physics
  • Explore real-time physics simulation techniques in game development
  • Read "Modern Quantum Mechanics" by J.J. Sakurai, focusing on Chapter 3 for insights on rotations
USEFUL FOR

This discussion is beneficial for physics students, game developers, and anyone involved in real-time simulations requiring accurate calculations of angular motion and forces applied to objects.

G15
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Hey everyone,
I have a 3D ball that is hit with a force 'F' at a particular position on the ball 'P'. How can I approximate (for real time simulation) the angular velocity of the X,Y and Z axis?
Intuitively, the further the impulse is from the centre of the ball, the faster the ball will spin. Therefore, I assume the radius of the ball is important (R).

I've tried to read up on it and I think this is the formula I need (http://en.wikipedia.org/wiki/Angular_velocity" ):

8cc878307b2d1791f0c9b72c43a5e516.png


But I'm not quite sure how to calculate the vector information.
Thanks for any suggestions (as you've probably guessed, I'm not an expert in Maths/Physics :D)
 
Last edited by a moderator:
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Hi, G15
You look " Modern Quantum Mechanics J.J Sakurai " Chapter 3
First section rotations in IR^3
 

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