Aerodynamics: bullets, footballs, arrows?

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A spinning projectile, such as a bullet, maintains a stable flight path due to high angular momentum, which prevents it from tumbling and enhances accuracy. In contrast, non-spinning long objects, like sticks, can easily become unstable and turn broadside when angled to the wind due to their center of pressure being ahead of their center of mass. To ensure straight flight, strategies include adding tail feathers, making the object nose-heavy, or spinning it around its axis, which helps maintain a forward point and reduce drag. While spinning is crucial for projectiles like bullets and artillery shells, it does not benefit spherical objects like balls, as tumbling does not affect their drag or aim. Understanding these principles is essential for optimizing the aerodynamics of various projectiles.
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In layman's terms why does a projectile that spins axially travel "true"?
 
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A spinning mass has got high angular momentum, which takes a lot of force to change. The effect is the same as what makes gyroscopes work.
This means that a spinning bullet is less likely to tumble as it flies through the air, which improves accuracy.
 
The real issue is, what happens if not spinning? Long objects like sticks, if slightly angled to the wind, will tend to turn broadside. They are unstable going straight because the center of pressure on a tilted bar is well in front of the centerpoint.

If you want a long slender object to go straight, here are three strategies:
1. give it tail feathers, so if it tilts, the center of pressure is behind the cm
2. make it nose heavy, for the same reason
3. spin it about its axis, so that if air pressure tries to turn it broadside, instead it precesses around a skinny cone, still generally pointing in the direction of travel.

These are all done to keep the point forward, and keep drag low and travel path precise.

A ball is not helped by spinning, since tumbling is not created by the air, and tumbling does not increase drag nor spoil aim. But if you have an artillery shell, or rifle bullet, I guess the spinning is helpful or essential to keep it straight
 
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