Calculate angular velocity of a ball

In summary, the conversation is about how to approximate the angular velocity of a 3D ball based on the force and position of the hit. The person is not an expert in math or physics and is seeking suggestions for calculating the vector information. They suggest looking into a specific formula and recommend reading a chapter from a book on quantum mechanics.
  • #1
G15
2
0
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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  • #2
Hi, G15
You look " Modern Quantum Mechanics J.J Sakurai " Chapter 3
First section rotations in IR^3
 

FAQ: Calculate angular velocity of a ball

What is angular velocity?

Angular velocity is a measure of the rate at which an object rotates or spins around a fixed point. It is usually expressed in radians per second (rad/s) or degrees per second (deg/s).

How do you calculate angular velocity?

Angular velocity can be calculated by dividing the change in angular displacement by the change in time. The formula for angular velocity is: ω = Δθ/Δt where ω is angular velocity, Δθ is change in angular displacement, and Δt is change in time.

What is the unit of measurement for angular velocity?

The unit of measurement for angular velocity is typically radians per second (rad/s) or degrees per second (deg/s). However, some other commonly used units include revolutions per minute (rpm) and revolutions per second (rps).

What factors affect the angular velocity of a ball?

The angular velocity of a ball can be affected by several factors, including the force applied to the ball, the mass of the ball, the distance from the axis of rotation, and any external forces acting on the ball (such as friction or air resistance).

How is angular velocity related to linear velocity?

Angular velocity and linear velocity are related through the formula v = rω, where v is linear velocity, r is the distance from the axis of rotation to the object, and ω is angular velocity. This relationship shows that as the distance from the axis of rotation increases, the linear velocity also increases for a given angular velocity.

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