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Ammo AR-15 Ballistics

AR-15 Bullet Stability

by Scott E. Mayer   |  May 24th, 2011 2

Q: I’ve just jumped into the AR-15 game and I don’t have a clear idea of how to select the optimum bullet weight and bullet bearing length for a certain twist rate barrel. I’ve been told that the faster twist rates (1:7-inch) require a heavier bullet (75 grains) with longer bearing surfaces, but that a slower twist (1:9- or 1:10-inch) will shoot the lighter, shorter 50-gr.,52-gr., and 55gr. bullets. Why is this? Paul O.

A: Your combinations of bullet weights and rifling twists are correct for the .223 Rem. cartridge, though it’s the bullet that requires the right twist, not the twist that requires the right bullet. The most common formula for estimating twist/bullet compatibility is known as the “Greenhill Formula.” That formula, TxL=150 (where T is the twist rate in calibers and L is the length of the bullet in calibers) applies specifically to lead bullets, but can also be used for jacketed lead bullets. Its simplicity does not do gyroscopic stability or Sir George Greenhill’s work justice. As indicated by the formula, it’s the bullet’s length, not bearing surface or weight that’s the key to compatibility. Long, skinny bullets have minimal moment of inertia about their longitudinal axis and maximum moment of inertia about an axis through their center of gravity perpendicular to their longitudinal axis requiring a faster twist to prevent them from turning over in flight. While many will disagree, I don’t think that you can “over stabilize” a bullet to its detriment by using too fast a twist unless using a very fragile bullet at a very high velocity. In that case, the centrifugal force may exceed the yield strength of the bullet causing it to fly apart in flight.–sem

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