Torque Calculator
Calculate rotational torque from mechanical force and lever arm distance (tau = F * r * sin(theta)).
Calculate Torque
Enter your engineering design parameters to calculate real-time verified outputs.
Calculation Results
Calculated using governing formula: Torque = F * r * sin(theta), Power = Torque * omega
Quick Summary
Free Torque Calculator. Computes rotational moment, imperial foot-pounds, mechanical horsepower, and angular work.
How to Use the Torque Calculator
Follow these quick steps to evaluate your engineering parameters:
- Enter your verified design values into the corresponding input fields above.
- Verify your engineering unit conventions (SI Metric / US Customary).
- Click Calculate to evaluate primary metrics and secondary performance breakdowns.
- Click Reset at any time to clear the results and reset inputs.
Governing Formulas & Engineering Theory
Torque = F * r * sin(theta), Power = Torque * omega
Torque is the rotational equivalent of linear force. Maximum torque occurs when the force is applied perpendicular (90 degrees) to the moment arm.
Engineering Principles & Practical Applications
Torque is fundamental in drivetrain engineering, motor sizing, fastener tensioning, and gearbox design. Power delivered equals torque multiplied by angular velocity.
Scope: What is Included vs. Excluded
Included Features
- High-precision 64-bit IEEE floating point computations
- Interactive form validation and instant calculation
- Standardized SI metric and imperial conversions
- Detailed secondary performance breakdowns
Non-Linear Factors Excluded
- High-order plastic deformation and material creep
- Severe environmental temperature extremes
- Extreme non-linear dynamic fatigue regimes
- Microstructural material anomalies
Engineering Tips & Best Practices
Safety Factor Application: Always apply appropriate design factors of safety (typically 1.5 to 3.0 depending on relevant ASME, AISC, or ISO building codes) when sizing critical mechanical and structural components.
Common Mistakes to Avoid
Unit Consistency: Avoid mixing imperial and metric units without standard conversion. Ensure modulus, dimensions, and force inputs match baseline SI units (Newtons, meters, Pascals).
Frequently Asked Questions
Why is 90 degrees the optimum angle for torque generation?
Because sin(90 deg) = 1.0, generating maximum perpendicular leverage on the pivot point.
How do you convert Newton-meters to Foot-pounds?
Multiply Newton-meters by 0.737562 to obtain foot-pounds (ft-lb).
How does RPM affect power when torque is constant?
Power is directly proportional to rotational speed: doubling the RPM at constant torque doubles power output.