Torque Calculator

Torque, Rotational Dynamics & Drivetrain Calculator

Compute moment of force, size rotary inertia and angular acceleration, and model electric motor/gearbox torque multiplication

Applied Effort / Force (F)

Angle of Application (θ°) 90° = Pure perpendicular

Lever Arm / Distance from Pivot (r)

Standard Tool Preset

Delivered Torque (τ = r · F · sin θ)

81.00 N·m

59.74 lbf·ft • 716.9 lbf·in • 8.26 kgf·m

Perpendicular Force Component 180.0 N F_perp = F · sin(90.0°)

Effective Lever Arm (Perpendicular) 0.450 m 17.72 inches moment arm

Radial Non-Torque Load 0.0 N Tensile/compressive pivot force

Nut Clamp Preload Estimation (M12) 33.75 kN F_clamp ≈ τ / (0.2 · D_bolt)

Rotating Body Geometry (Moment of Inertia)

Body Mass (m)

Radius (r)

Rotational Kinematics Ramp

Target Angular Speed (RPM) Accelerated from zero rest

Ramp / Spin-Up Time (t in seconds) Time to reach target RPM

Required Accelerating Torque (τ = I · α)

58.90 N·m

43.44 lbf·ft • Angular Accel (α): 157.08 rad/s²

Mass Moment of Inertia (I) 0.3750 kg·m² 8.90 lb·ft²

Peak Shaft Power at Target RPM 18.51 kW 24.81 Mechanical HP

Stored Kinetic Energy (E_rot = ½Iω²) 18.51 kJ Rotary flywheel capacity

Angular Momentum (L = I · ω) 117.81 J·s kg·m²/s gyroscopic stability

Motor Shaft Power (P)

Motor Speed (RPM) e.g., 4-pole 50Hz induction ~1450 RPM

Drivetrain & Gearbox Reduction

Gearbox Reduction Ratio (G : 1) Speed divider / torque multiplier

Transmission Efficiency (η %) Spur/helical mesh loss

Final Drive Sprocket / Wheel Dia (mm)

Final Output Shaft Torque (After Gearbox)

234.66 N·m

173.08 lbf·ft • Output Speed: 290.0 RPM (4.83 rev/s)

Motor Raw Shaft Torque 49.40 N·m 36.44 lbf·ft at 1,450 RPM

Linear Drive Tangential Force 2,347 N (2.35 kN) 527.5 lbf tractive push

Angular Shaft Velocity (ω) 151.84 rad/s Output: 30.37 rad/s

Transmission Mechanical Power 7.13 kW Loss: 375.0 W (95.0% efficiency)