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Loren Booda
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For a thrown ball of constant density, what is the maximum possible rotational/linear velocity ratio?
Probably not. Because when spinning the ball by a single force, you will always have a tangential component of the accelerating force, thus making the ball move.Originally posted by Loren Booda
First, is it possible to spin an otherwise freely "thrown" ball (released at one point on its surface) without causing it to move linearly,
Can you prove the latter assertion?There is a theoretical minimum spin:velocity ratio, but not a theoretical maximum for this case.
Yeah, but frankly it would take me more effort than I feel like right now. If you've already looked at the equations though, you can easily figure it out for yourself. I'll get you started:Originally posted by Loren Booda
russ_watters Can you prove the latter assertion?
Yes sure, but in the initial post, Loren said 'ball of constant density'.Originally posted by russ_watters
How much spin and how much forward motion you get can still vary infinitely
Oops. In that case, there is only ONE ratio I think.Originally posted by arcnets
Yes sure, but in the initial post, Loren said 'ball of constant density'.
Rotational velocity refers to the speed at which an object is rotating around an axis, while linear velocity is the speed at which an object is moving in a straight line.
Both rotational and linear velocity contribute to the overall movement of a thrown ball. Rotational velocity helps to create spin and stability, while linear velocity determines the speed and direction of the ball's movement.
The maximum rotational velocity that a human can achieve when throwing a ball varies depending on factors such as strength, technique, and the weight and size of the ball. On average, a professional baseball pitcher can achieve rotational velocities of 2000-3000 rotations per minute (rpm).
Yes, a higher rotational velocity can contribute to a faster thrown ball. This is because the spin created by rotational velocity can help to reduce air resistance and increase the stability of the ball's flight, allowing it to maintain its speed for longer.
The maximum linear velocity of a thrown ball is typically higher than the maximum rotational velocity. This is because the linear velocity is directly affected by the force and speed of the throw, while rotational velocity is influenced by other factors such as the release point and spin rate.