Physical calculations§2

Torque, forces, angles

Section 2

Physical calculations — the technical "why"

Required torque by angle for a 120 mm L/44 cannon (mass ≈ 1,800 kg, lever arm ≈ 1.8 m from trunnion).

Law of Moments

T = m · g · d · cos(θ)

T: torque (N·m) — m: mass (kg) — g: 9.81 m/s² — d: lever arm (m) — θ: elevation angle.

Realistic counterweight

T_residual = T × (1 − 92%)

A good counterweight reduces torque by ~92%, but it remains substantial (~2,500 N·m at horizontal).

AngleGross torque requiredResidual torque (92% counterweight)
0° (horizontal)31 784 N·m2 543 N·m
45°22 475 N·m1 798 N·m
90° (vertical)0 N·m0 N·m

➡️ The critical point is always horizontal (0°): that is where the required torque is maximum.

Interactive torque calculator

Cannon mass

1 800 kg
800 kg2 500 kg
1,8 m
0,8 m3 m
92 %
0 %98 %
0°
0°90°

Gross torque (0°)

31 784 N·m

Gross

Residual torque (0°)

2 543 N·m

Counterweight efficiency 92%

Torque curve by angle

Animation — cannon elevation

Cannon elevation 0° → 90°

Angle0°

Residual torque

2 543 N·m

Load state

Critical