Mechanical Torque & ForceEngineering

Mechanical Torque, Force & Lever Arm Physics Calculator (τ = F × r × sin(θ))

Calculate rotational torque (τ) in Newton-meters (N·m) and Foot-Pounds (ft-lb), applied force, lever arm distance, and mechanical horsepower (HP) from RPM.

Calculator Inputs

Live Real-Time
N
Quick select:
m
Quick select:
RPM
Quick select:
Calculated ResultMechanical Torque & Force

Calculated Torque (N·m)

60N·m

Torque in Foot-Pounds (ft·lb)

44.25 ft·lb

Mechanical Horsepower (HP)

16.85 HP

Power in Kilowatts (kW)

12.57 kW

Mechanical Principle: Doubling the lever arm length doubles generated torque by 100% with the exact same applied force.

Torque & Horsepower Breakdown

Generated Rotational Torque
60 N·m(50%)
Torque in Foot-Pounds (ft·lb)
44.25 ft·lb(37%)
Mechanical Horsepower (HP)
16.85 HP(14%)

Detailed Calculation Breakdown

Perpendicular Applied Force
150 N
Radius from Pivot Point
0.4 m
Generated Rotational Torque
60 N·m

Calculation Methodology

Torque: τ = F * r * sin(θ). At perpendicular 90°: τ = F * r. Mechanical Power (W) = (Torque * 2π * RPM) / 60. Horsepower (HP) = Power (W) / 745.7.

Important Legal & Educational Disclaimer

This engineering tool computes rotational mechanics, torque generation, and shaft horsepower.

This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.

Frequently Asked Questions

Torque (τ) = Force (F) * Lever Arm Distance (r) * sin(θ), measured in Newton-meters (N·m).
Related Calculators

Related Calculators

Recommended tools and calculators tailored to your current calculation

Explore all tools
Kinetic & Potential EnergyGlobal / Universal

Kinetic & Gravitational Potential Energy Calculator (KE = ½mv² & PE = mgh)

Calculate kinetic energy, gravitational potential energy, and total mechanical energy in Joules (J) and Kilojoules (kJ) based on mass, velocity, and elevation height.

Physics & Classical MechanicsMechanical Engineering & Machines
Open Calculator
Braking & Stopping DistanceGlobal / Universal

Vehicle Braking Distance, Reaction Time & Total Stopping Calculator

Calculate total stopping distance in meters and feet, human perception-reaction distance, and mechanical tire braking distance across dry, wet, and icy road conditions.

Automotive & Engine DynamicsMechanical Engineering & Machines
Open Calculator
Engine Horsepower & TorqueGlobal / Universal

Engine Horsepower, Torque & RPM Physics Calculator (HP = Torque*RPM / 5252)

Calculate mechanical brake horsepower (HP), metric horsepower (PS), power in kilowatts (kW), and convert between N·m and lb-ft torque across dynamometer power curves.

Automotive & Engine DynamicsMechanical Engineering & Machines
Open Calculator
Tire Size & Speedometer OffsetGlobal / Universal

Tire Size, Rolling Diameter & Speedometer Error Offset Calculator

Calculate total tire rolling diameter (mm & inches), sidewall height, rolling circumference, revs per kilometer, and speedometer offset when upsizing wheel rims.

Automotive & Engine DynamicsMechanical Engineering & Machines
Open Calculator
Towing Capacity & PayloadGlobal / Universal

Truck Towing Capacity, Payload & Tongue Weight Calculator (GVWR & GCWR)

Calculate maximum safe trailer towing capacity (kg & lbs), remaining truck bed payload, and recommended 10-15% hitch tongue weight based on manufacturer GVWR and GCWR ratings.

Automotive & Engine DynamicsMechanical Engineering & Machines
Open Calculator
Gear Ratio & Torque MultiplierGlobal / Universal

Mechanical Gear Ratio, Output RPM & Torque Multiplier Calculator

Calculate mechanical gear ratio (GR), output rotational speed (RPM), and multiplied output torque (N·m) with 95% transmission efficiency for powertrains and gearboxes.

Mechanical Engineering & MachinesAutomotive & Engine Dynamics
Open Calculator
Engine Displacement (CC & Liters)Global / Universal

Engine Displacement, Cylinder Bore & Stroke Calculator (CC, Liters, CID)

Calculate total engine displacement in Cubic Centimeters (CC), Liters, and Cubic Inches (CID), individual cylinder volume, and Bore-to-Stroke geometry ratio.

Automotive & Engine DynamicsMechanical Engineering & Machines
Open Calculator
Belt & Pulley Drive SpeedGlobal / Universal

Belt & Pulley Drive Speed Ratio & Linear Velocity Calculator

Calculate driven pulley rotational speed (RPM), linear belt velocity (m/s & ft/min), and pulley diameter transmission ratio (D1*N1 = D2*N2) for industrial machine drives.

Mechanical Engineering & MachinesAutomotive & Engine Dynamics
Open Calculator