Torque Calculator
Calculate turning moment from force, lever arm and force angle.
Use the Torque Calculator
Calculate turning moment from force, lever arm and force angle.
Calculations happen locally in your browser. ToolLott does not send these inputs to a server for this tool.
Preliminary planning or arithmetic calculation only. Confirm project inputs, units, operating assumptions and applicable requirements before procurement, construction or operational decisions.
How to use it
Replace the worked-example values with actual project data. Review the intermediate quantities and visible assumptions before using the result elsewhere.
How the Torque Calculator works
Calculate turning moment from force, lever arm and force angle. The methodology below exposes the production equation, a QA-verified worked example and the boundary between this screen and detailed design.
Calculation breakdown
ToolLott will explain the current inputs and displayed result here.
Torque from force and lever arm
The production engine evaluates T = F r sin(theta). It begins by validate force, lever arm and the force angle., then resolve the force component perpendicular to the lever arm using sin(theta)., and finally multiply by lever arm to obtain torque. This keeps the calculation auditable instead of hiding design assumptions behind a single number.
T = F r sin(theta)ToolLott evaluates the relationship using the entered units and full numeric precision before display rounding.
| Symbol / input | Meaning | Unit |
|---|---|---|
force | Applied force (N) | user input |
radius | Lever arm (m) | user input |
angle | Angle between force and lever (degrees) | user input |
Step-by-step method
- Validate force, lever arm and the force angle.
- Resolve the force component perpendicular to the lever arm using sin(theta).
- Multiply by lever arm to obtain torque.
Worked example
Grace, a project engineer, applies a 250 N force at the end of a 0.40 m lever and wants the ideal turning moment.
Example inputs
- Applied force (N): 250
- Lever arm (m): 0.4
- Angle between force and lever (degrees): 90
Calculation / processing
At 90°, sin(theta) = 1.T = 250 x 0.4 x 1.Torque = 100 N.m.
Use the result as a screening or quantity-planning value and compare it with the project criteria, manufacturer data and applicable engineering requirements before making a design or procurement decision.
Assumptions
- The entered values are representative of the condition being screened and use the units shown on the page.
- The equation models only the stated relationship; omitted system effects are not silently estimated.
Limitations
- This page is not engineering certification and does not replace applicable standards, design loads, manufacturer data, site investigation or competent professional review.
- Results can change materially when real geometry, losses, transients, material properties, duty cycles, safety factors or regulatory criteria differ from the simplified inputs.
Common questions
Is this a final engineering design?
No. It is a transparent screening calculation using the entered assumptions and the stated equation.
Why does the page show assumptions and limitations?
Engineering formulas are only valid within their modelling assumptions; exposing them helps users decide what additional design checks are required.
Should I use the rounded displayed value in later design work?
Use suitable calculation precision and the governing project/standard requirements rather than relying on display rounding alone.
Methodology sources
Related ToolLott tools
A realistic way Grace could use this tool
Grace is a project engineer.
Grace applies a 250 N force at the end of a 0.40 m lever and wants the ideal turning moment.
The worked data is explicit: force = 250; radius = 0.4; angle = 90. From that input set the tool returns Torque: 100 N.m, so Grace can change one assumption at a time and see what actually drives the output.
The case ends with a measurable/checkable result—Torque: 100 N.m. That is the evidence Grace can use to calculate turning moment from force, lever arm and force angle, rather than simply being told the tool was helpful. The page also keeps this limitation explicit: Preliminary screening/planning calculation only.
Fictional scenario using realistic example data. For Ready tools, the worked result is tied to the tested example shown in the tool. Replace the figures with your own inputs and independently verify important professional, financial, legal, health or safety decisions.
What this calculator is for
Use it to calculate turning moment from force, lever arm and force angle.
It sits within ToolLott’s Mechanical collection, where you can also calculate bearing life, belt length, gear ratio, power transmission, shaft checks, thermal expansion and torque.