Air Density Calculator
Calculate air density from pressure, temperature, and humidity using the ideal gas law. Includes altitude reference table and moist air corrections.
Calculate rifle barrel twist rate stability using Greenhill and Miller formulas. Includes bullet RPM, stability factor, and twist comparison table.
| Twist | SG | RPM | Stable? |
|---|---|---|---|
| 1:5" | 20.72 | 7,402 | ✓ Yes |
| 1:6" | 14.39 | 6,168 | ✓ Yes |
| 1:7" | 10.57 | 5,287 | ✓ Yes |
| 1:8" | 8.10 | 4,626 | ✓ Yes |
| 1:9" | 6.40 | 4,112 | ✓ Yes |
| 1:10" | 5.18 | 3,701 | ✓ Yes |
| 1:11" | 4.28 | 3,365 | ✓ Yes |
| 1:12" | 3.60 | 3,084 | ✓ Yes |
| 1:14" | 2.64 | 2,644 | ✓ Yes |
| 1:16" | 2.02 | 2,313 | ✓ Yes |
| 1:18" | 1.60 | 2,056 | ✓ Yes |
| 1:20" | 1.30 | 1,850 | ✗ No |
Rifle barrel twist rate describes how quickly the rifling spins a bullet as it leaves the muzzle. That spin helps keep the projectile point-forward in flight, and the right twist depends on bullet length, weight, diameter, and velocity.
This calculator uses the Greenhill approximation and the Miller stability formula to estimate whether a bullet is likely to be stable in a given barrel. It also reports bullet RPM so you can see how much spin the twist rate produces.
Use it when comparing factory barrels, choosing a twist for handloads, or checking whether a specific bullet length is a good match for the barrel you already have.
Use this calculator to compare twist rates before choosing a barrel or loading a bullet that is longer than what your current twist was designed for. It is most useful when you want a quick stability check without working through Greenhill or Miller by hand.
Greenhill: T = C×d²/L (C=150 subsonic, 180 supersonic). Miller SG = 30×W/(T²×d³×L×(1+L²)) where T, d, L in calibers. RPM = (velocity×12)/twist.Result: SG = 1.82, RPM = 316,000
A 5.56mm M855 round at 940 m/s from a 1:7" barrel spins at about 316,000 revolutions per minute. SG = 1.82, which is comfortably above the 1.3 minimum and indicates good stability.
Use the stability factor as a screening tool, not a guarantee, because bullet construction, air density, and muzzle velocity all affect the real result.
The usual mistakes are mixing bullet length and weight, entering the twist backwards, or assuming a stable result at one velocity will hold at every temperature and altitude.
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The distance the bullet travels down the barrel for one complete revolution of the rifling. A 1:7" twist means one turn every 7 inches. Lower numbers = faster spin.
A dimensionless number (SG) predicting gyroscopic stability. SG < 1.0 = unstable (tumbling). SG 1.0-1.3 = marginal. SG ≥ 1.3 = stable. SG ≥ 1.5 = well-stabilized.
The original M193 ball (55gr, short) was stable at 1:12. The M855 (62gr with steel penetrator, longer) needed 1:7 for adequate stability, especially in cold weather.
Yes — excessive spin can split bullet jackets ("spin failure"), magnify bullet imbalances, and slightly increase drag. But for most commercial bullets, this only happens at extreme twist rates.
Yes. An over-stabilized bullet (very high SG) will not "sleep" (precess to align with flight path) as quickly. Marginal stability (SG 1.0-1.3) causes yaw-induced dispersion.
Push a tight-fitting cleaning rod with a jag and patch through the barrel while watching the rod handle rotate. Mark the rod at the muzzle; the distance traveled for one handle rotation is the twist rate.
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