Enter Torque and Lever Details
Example Data Table
| Torque | Lever Arm | Angle | Approx Force | Approx Mass |
|---|---|---|---|---|
| 100 N·m | 0.5 m | 90° | 200 N | 20.39 kg |
| 75 lb·ft | 18 in | 90° | 222.42 N | 22.68 kg |
| 25 lb·in | 8 in | 60° | 16.05 N | 1.64 kg |
Formula Used
Torque formula: T = F × r × sin(θ)
Force formula: F = T ÷ (r × sin(θ))
Mass formula: m = F ÷ g
Adjusted usable mass: usable mass = mass × efficiency ÷ safety factor
Here, T is torque, F is force, r is lever arm length, θ is load angle, and g is gravity.
How to Use This Calculator
- Enter the torque value from your tool, motor, shaft, or lever system.
- Select the torque unit that matches your input value.
- Enter the lever arm distance from pivot center to force line.
- Set the load angle. Use 90 degrees for a perpendicular force.
- Select or enter the gravity value for your situation.
- Add efficiency and safety factor for a conservative adjusted load.
- Press the calculate button and review the result above the form.
- Download the result as CSV or PDF for your records.
Torque to Weight Guide
Why This Conversion Matters
A torque to weight calculator helps connect rotation with lifting force. Torque shows how strongly a load twists around a pivot. Weight shows the force created by mass under gravity. When a lever, wrench, arm, pulley, or bracket is involved, these two ideas meet.
What the Calculator Checks
This calculator uses torque, lever length, load angle, gravity, efficiency, and safety factor. It first converts the selected units into standard values. Then it finds the perpendicular lever arm. A ninety degree angle gives the full lever length. A smaller angle reduces the useful arm length. That can greatly increase the required force.
Understanding the Result
The main result is force. It is shown in newtons, pound-force, and kilogram-force. The tool also estimates mass in kilograms and pounds. This helps users compare engineering force with common weight values. The adjusted load result includes efficiency and safety factor. Use it when planning a conservative working load.
Practical Example
A simple example is a 100 N·m torque applied at a 0.5 m arm. At ninety degrees, the force is 200 N. Under standard gravity, that equals about 20.39 kg of mass. If the safety factor is two, the recommended load becomes about 10.19 kg before other real world limits.
Best Use Cases
This calculator is useful for mechanics, builders, students, and equipment planners. It can estimate the weight supported by a lever. It can also compare different arm lengths. Longer arms usually support more weight for the same torque. Short arms need higher force.
Important Safety Notes
Still, the result is an estimate. Real systems have friction, shock loading, bending, wear, and material limits. Fast movement can increase loads beyond static values. Mounting points can fail before the calculated force is reached. Always check manufacturer ratings, local rules, and qualified engineering guidance for critical lifting work.
Better Input Habits
Use the example table to learn the pattern. Change one value at a time. Watch how angle, length, and safety factor affect the answer. This makes the calculation clearer and reduces mistakes. For accurate input, measure the distance from the pivot center to the force line. Do not measure to a nearby edge. Select matching units before submitting. Keep records by saving the result as CSV or PDF for review.
FAQs
What does torque to weight mean?
It means estimating the force or mass that relates to a given torque through a lever arm. Torque alone cannot give weight. The lever length and force angle are also required.
What is the main formula?
The main formula is F = T ÷ (r × sin θ). Force is then divided by gravity to estimate mass. This gives a weight style result.
Why is lever arm length important?
Lever length controls mechanical advantage. A longer arm needs less force for the same torque. A shorter arm needs more force and can increase stress.
Should I use 90 degrees?
Use 90 degrees when the load acts perpendicular to the lever arm. This gives the strongest turning effect. Smaller angles reduce the effective lever arm.
What does efficiency mean here?
Efficiency reduces the ideal result for losses. Friction, flex, bearing drag, and imperfect alignment can lower usable output. Use a lower value for cautious planning.
What is a safety factor?
A safety factor lowers the recommended usable load. It helps account for uncertainty, shock, wear, and measurement errors. Critical lifting needs expert review.
Can this calculator be used for lifting design?
It can support early estimates. Do not use it as the only design check. Real lifting systems need rated parts, inspections, and qualified engineering approval.
Why are results shown in several units?
Different industries use different units. Newtons help engineering work. Pound-force and kilogram-force help comparison. Kilograms and pounds show mass equivalents.