Calculate angular velocity of a ball

AI Thread Summary
To calculate the angular velocity of a ball when a force is applied at a specific point, the distance from the center of the ball to the point of application is crucial, as it influences the spin rate. The formula for angular velocity can be derived from the relationship between torque and angular momentum, considering the radius of the ball. Understanding vector calculations is essential for determining the angular velocity components along the X, Y, and Z axes. Resources like "Modern Quantum Mechanics" by J.J. Sakurai can provide further insights into rotational dynamics. Accurate calculations will enhance real-time simulation of the ball's motion.
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)
 
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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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