Torque Calculator

Mechanical Engineering

Torque Calculator

Compute torque from force or power, then derive output power, equivalent force, and gear-stage results.

Torque Source

Choose how the input torque is derived

Applied Force

Force applied at the end of the lever arm

Lever Arm / Radius

Distance from pivot to point of applied force

Angle (Force vs Lever Arm)

90° = force fully perpendicular, gives maximum torque

⚙️ Application Parameters

Rotational Speed

RPM

Used to compute output power (and torque, in Power & Speed mode)

Gear Ratio (out:in)

>1 multiplies torque (reduction gearing); <1 reduces it

Gear-Stage Efficiency

Mechanical losses through the gear stage

Gear-Stage
Efficiency 0%

Output Torque

0 N·m

after gear ratio & losses

Input Torque (before gearing) 0 N·m

Output Power (at set RPM) 0 W

Equivalent Force (at radius) 0 N

Angular Velocity (ω) 0 rad/s

📊 Calculation Breakdown

Quantity	Value	Note

Governing equations

τ = F·r·sinθ | τ = P/ω | P = τ·ω | ω = 2πN/60 | τ_out = τ_in·G·η

Force & Lever Arm: τ = F · r · sin(θ) — maximum at θ = 90°, zero when force is parallel to the arm
Power & Speed: τ = P ÷ ω, where ω = 2πN/60 converts RPM to rad/s
Output Power: P = τ_out · ω — always computed at the Rotational Speed you set
Gear Stage: τ_out = τ_in · Gear Ratio · Efficiency — reduction gearing (ratio > 1) trades speed for torque
Equivalent Force: F = τ_out ÷ r, using the Lever Arm / Radius value

⚠️ This is an idealized rigid-body calculation. Real systems have friction, backlash, shaft flex, and load-dependent efficiency not captured here — verify against manufacturer specs for design-critical or safety-critical work.