Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp120.3 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{14038}{30}\cdot\dfrac{8-0.5}{1000} + 0.5\right)\cdot 30 = 120.3\,\text{m}$
Max Vert Disp72.2 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 120.3 \cdot 0.6 = 72.2\,\text{m}$
Med Horiz Disp38.4 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 120.3 \cdot 0.319\;(\sigma = 2) = 38.4\,\text{m}$
Med Vert Disp23.1 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 72.2 \cdot 0.32\;(\sigma = 2) = 23.1\,\text{m}$
Dispersion familyDD Disp.
Standard destroyer dispersion baseline.
AP Pen Close348.8 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2692 \cdot 59^{0.69} \cdot 0.152^{-1.07} \cdot 812^{1.38} = 348.8\,\text{mm}$. Matches the in-game spec card.
AP Pen Far122.2 mm
Same formula at the ship's max firing range (19.3 km), where the shell has slowed to 379.8 m/s: $P = 10^{-7}\cdot 2692 \cdot 59^{0.69} \cdot 0.152^{-1.07} \cdot 379.8^{1.38} = 122.2\,\text{mm}$.
HE penetration30 mm
In-game data: 30 mm = 152 mm caliber / 5.07 (non-standard HE penetration ratio).
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius20
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 alpha8
All 8 barrels bear on the broadside.
Turret turn time7.2 s
180 degrees / 25 deg/s traverse speed = 7.2 s.
HE full-salvo alpha17,600
2,200 HE damage x 8 broadside guns = 17,600.
AP full-salvo alpha27,200
3,400 AP damage x 8 broadside guns = 27,200.
Base HE DPM150,857
17,600 HE full-salvo alpha x 60 / 7 s base reload = 150,857.
Base AP DPM233,143
27,200 AP full-salvo alpha x 60 / 7 s base reload = 233,143.
Installed HE DPM167,619
17,600 HE full-salvo alpha x 60 / 6.3 s installed reload (Main Battery Mod. 3 = -10%) = 167,619.
Installed AP DPM259,048
27,200 AP full-salvo alpha x 60 / 6.3 s installed reload (Main Battery Mod. 3 = -10%) = 259,048.
Base shells/min68.6
8 broadside guns x 60 / 7 s base reload = 68.6.
Installed shells/min76.2
8 broadside guns x 60 / 6.3 s installed Artillery reload = 76.2.
Base fires/min5.14
8 HE shells x 60 / 7 s reload x 7.5% fire chance = 5.14.
Installed fires/min5.71
8 HE shells x 60 / 6.3 s installed reload x 7.5% fire chance = 5.71.
Torpedoes
Torpedo detectability1.1 km
Estimated torpedo reaction time6.8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed62 kt
Travel time to max range49.6 s
range / (speed kt x 2.6 community game-speed factor).
Tube count8
2 launchers x 4 tubes.
Per-side salvo4 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage124,264
All tubes hitting one target: tubes x per-torpedo simulated damage = 8 x 15,533 = 124,264.
Per-side salvo damage62,132
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 4 x 15,533 = 62,132.
Damage Control Party
High-Frequency Sonar
Smoke Generator
Repair Party
Catapult Fighter
Defensive AA Fire