Torque Calculator (τ=F·r·sinθ)
Compute the moment about an axis via τ = F·r·sinθ: enter force, lever arm and angle to get N·m and the effective lever arm.
Key points
Torque Calculator (τ=F·r·sinθ): Compute the moment about an axis via τ = F·r·sinθ: enter force, lever arm and angle to get N·m and the effective lever arm. Formula: τ = F·r·sinθ. Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. τ = F·r·sinθ: torque equals force times lever arm times the sine of the angle; it peaks at θ = 90° (force perpendicular to the arm). Wrenches and bolts use N·m; a longer lever arm gives more torque for the same force — the principle of a longer wrench.
Inputs
τ = F·r·sinθCalculation model (updates with parameters)
| Torque τ | 50 N·m | τ = F·r·sinθ |
| Effective lever arm r·sinθ | 500 mm | Perpendicular distance from the force to the axis |
| Perpendicular lever-arm component | 100% | 100% effective at θ = 90° |
Engineering notes
- τ = F·r·sinθ: torque equals force times lever arm times the sine of the angle; it peaks at θ = 90° (force perpendicular to the arm).
- Wrenches and bolts use N·m; a longer lever arm gives more torque for the same force — the principle of a longer wrench.
- With multiple forces, torque is the algebraic sum of individual moments (add same rotation, subtract opposite); equilibrium means zero net torque.
FAQ
- What is Torque Calculator (τ=F·r·sinθ) for?
- Compute the moment about an axis via τ = F·r·sinθ: enter force, lever arm and angle to get N·m and the effective lever arm.
- What is the formula for Torque Calculator (τ=F·r·sinθ)?
- Core formula: τ = F·r·sinθ. The tool returns results instantly using this formula and the selected parameters.
- What engineering notes should I keep in mind when using Torque Calculator (τ=F·r·sinθ)?
- τ = F·r·sinθ: torque equals force times lever arm times the sine of the angle; it peaks at θ = 90° (force perpendicular to the arm). Wrenches and bolts use N·m; a longer lever arm gives more torque for the same force — the principle of a longer wrench. With multiple forces, torque is the algebraic sum of individual moments (add same rotation, subtract opposite); equilibrium means zero net torque.