Quadratic Equation Solver (ax² + bx + c = 0)
About Torque Calculator
The Rotational Torque ($\tau = r \cdot F \cdot \sin\theta$) & Moment of Force Calculator computes rotational turning force, lever arm mechanical advantage, bolt tightening torque conversions (lb-ft, N·m, in-lb), engine shaft torque from horsepower ($\tau = \frac{5252 \times \text{HP}}{\text{RPM}}$), and gear ratio torque multiplication.
How to Use Torque Calculator
Step 1
Select Torque Formula (Lever Arm, Engine HP/RPM, or Gearbox Multiplier).
Step 2
Enter Force, Lever Length, and Angle (or Horsepower and RPM).
Step 3
Review computed torque across all automotive and metric units.
Step 4
Click "Copy Torque Value".
Practical Use Cases for Torque Calculator
Automotive Wheel Lug Nut & Engine Cylinder Head Torque Specs
Convert manufacturer bolt tightening specs between Newton-meters (N·m), foot-pounds (lb-ft), and inch-pounds (in-lb) with wrench lever extensions.
Electric Motor & Gearbox Reduction Torque Multiplication
Calculate output shaft stall torque and speed reduction for planetary and worm gearboxes ($\tau_{out} = \tau_{in} \times \text{Ratio} \times \eta$).
Input & Output Examples
Calculating Torque with 50N Force on 0.4m Wrench at 90°
Force ($F$): `50.0 N`, Lever Arm ($r$): `0.40 m (40 cm)`, Angle ($ heta$): `90.0°`
Torque ($\tau$): `20.0 N·m` | Imperial: `14.75 lb-ft (177.0 in-lb)` | Dyne-cm: `2.0 × 10⁸ dyn·cm`
Key Features & Performance
- ✓Modes: Lever Arm Torque ($r F \sin\theta$), Engine Torque from HP/RPM, Gearbox Torque Multiplier, Wrench Torque Adapter Length Offset.
- ✓Unit conversions: Newton-meters (N·m), Foot-pounds (lb-ft / ft-lbs), Inch-pounds (in-lb), Kilogram-force meters (kgf·m), Dyne-centimeters.
- ✓Wrench Adapter Offset Compensation: calculates adjusted torque wrench dial setting when using crowfoot extensions.
- ✓100% Client-Side mechanical engine.
- ✓1-Click Copy torque specifications.
Key Terminology & Definitions
Torque ($\tau$)
A rotational force that causes an object to rotate around an axis or pivot point, defined as the vector cross product $\vec{\tau} = \vec{r} \times \vec{F}$.
Newton-Meter (N·m)
The SI unit of torque equal to the turning moment generated by one Newton of force applied perpendicularly at the end of a one-meter lever arm.