Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp73 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{7740}{30}\cdot\dfrac{8-0.5}{1000} + 0.5\right)\cdot 30 = 73\,\text{m}$
Max Vert Disp43.8 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 73 \cdot 0.6 = 43.8\,\text{m}$
Med Horiz Disp23.3 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 73 \cdot 0.319\;(\sigma = 2) = 23.3\,\text{m}$
Med Vert Disp14 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 43.8 \cdot 0.32\;(\sigma = 2) = 14\,\text{m}$
AP Pen Close134.1 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 1870 \cdot 18.2^{0.69} \cdot 0.105^{-1.07} \cdot 715^{1.38} = 134.1\,\text{mm}$. Matches the in-game spec card.
AP Pen Far31.7 mm
Same formula at the ship's max firing range (9.7 km), where the shell has slowed to 251.1 m/s: $P = 10^{-7}\cdot 1870 \cdot 18.2^{0.69} \cdot 0.105^{-1.07} \cdot 251.1^{1.38} = 31.7\,\text{mm}$.
HE penetration18 mm
18 mm ≈ 105 mm caliber / 6 (standard HE penetration ratio).
AP overmatch7 mm
floor(105 mm caliber / 14.3) = 7 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius3
AP shell over-penetration splash radius; scales with shell mass. Wickes 102mm = 3, standard 152mm CL ~ 20, Iowa 406mm ~ 270, Yamato 460mm = 400, Incomparable 650mm = 550 (max). Larger value = bigger splash damage area when AP over-pens.
Broadside guns used for alpha3
All 3 barrels bear on the broadside.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha3,600
1,200 HE damage x 3 broadside guns = 3,600.
AP full-salvo alpha6,900
2,300 AP damage x 3 broadside guns = 6,900.
Base HE DPM54,000
3,600 HE full-salvo alpha x 60 / 4 s base reload = 54,000.
Base AP DPM103,500
6,900 AP full-salvo alpha x 60 / 4 s base reload = 103,500.
Base shells/min45
3 broadside guns x 60 / 4 s base reload = 45.
Base fires/min2.25
3 HE shells x 60 / 4 s reload x 5% fire chance = 2.25.
Torpedoes
Torpedo detectability1.1 km
Estimated torpedo reaction time8.6 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed49 kt
Travel time to max range65.9 s
range / (speed kt x 2.6 community game-speed factor).
Tube count4
2 launchers x 2 tubes.
Per-side salvo4 torpedoes
4 (centerline launchers train across - full salvo to either side).
Full-salvo damage33,732
All tubes hitting one target: tubes x per-torpedo simulated damage = 4 x 8,433 = 33,732.
Per-side salvo damage33,732
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 4 x 8,433 = 33,732.
Damage Control Party
Smoke Generator
Engine Boost