Torque to Lift a Weight Calculator

Calculate lifting torque from weight, radius, and angle. Adjust efficiency, gear ratios, and safety factors. Download results and compare examples for better design checks.

Calculator Input

degrees
Use 90 for tangent pulling.
Example: 20 means 20:1 reduction.
%
m/s²
m/s²
m/s

Formula Used

The calculator first converts all values into base units. Radius becomes meters. Load becomes newtons. Friction also becomes newtons.

Load force:

Fload = mass × (g + a)

Total line force:

Ftotal = Fload + Ffriction

Load shaft torque:

Tload = (Ftotal × radius) ÷ sin(angle)

Required motor torque:

Tmotor = (Tload × safety factor) ÷ (gear ratio × efficiency)

Power estimate:

Power = (Ftotal × lift speed) ÷ efficiency

How to Use This Calculator

  1. Enter the load as mass or force.
  2. Select the correct load unit.
  3. Enter the drum, pulley, crank, or lever radius.
  4. Use 90 degrees when the pulling force is tangent.
  5. Add gear ratio, system efficiency, and safety factor.
  6. Add acceleration and friction when required.
  7. Press the calculate button.
  8. Download the result as CSV or PDF for records.

Example Data Table

Load Radius Angle Gear Ratio Efficiency Safety Factor Approx Motor Torque
100 kg 0.25 m 90° 10:1 85% 1.5 43.26 N·m
500 N 0.30 m 90° 5:1 80% 2.0 75.00 N·m
250 lb 8 in 75° 20:1 90% 1.8 25.72 N·m

Torque Planning for Safe Lifting

Torque tells how much turning effort a drum, shaft, crank, or motor must deliver to raise a load. A weight may look small, yet a long drum radius can demand high torque. This calculator joins common lifting details in one place, so early design checks become faster and clearer.

Why Radius and Angle Matter

The main force is the load force. It acts at the selected radius. A perpendicular pull gives the best turning effect. A shallow angle wastes leverage, so the tool divides by the sine of the angle. This helps compare handles, pulleys, winches, capstans, and rotating arms.

Efficiency and Gear Effects

Real systems lose energy through bearings, belts, gears, seals, and cable wrap. Efficiency lowers the useful torque that reaches the lifting point. Gear ratio can multiply output torque, but losses still remain. The calculator applies both values, then adds a safety factor for shock, wear, and uncertain load data.

Using the Result

Start with measured mass or force. Enter the drum radius where the rope or chain acts. Use ninety degrees when the force is tangent to the drum. Add friction when guides or sliding parts resist motion. Add upward acceleration when the load must start quickly, not just move steadily. Review required motor torque and load torque separately. Load torque describes the lifting shaft. Motor torque reflects gearing and efficiency.

Design Notes

Do not select parts using calculated torque alone. Check shaft stress, brake capacity, keyways, fasteners, rope ratings, motor duty cycle, and heat. Dynamic loads can rise during starts, stops, impacts, and uneven winding. Use a larger safety factor for people, valuable equipment, or unknown field conditions.

This calculator is useful for concept work, quotations, classroom examples, and maintenance checks. It gives transparent equations and repeatable results. Export the result when you need a record for later comparison.

For best accuracy, measure the effective radius under load, not the empty drum radius. Cable layers change radius as they build. Confirm the entered gear ratio means output turns slower than the motor. Keep units consistent when comparing several designs, and save each result before changing assumptions during final audit review.

FAQs

What does torque mean in lifting?

Torque is the turning effort needed at a shaft, drum, crank, or lever. It depends on load force, radius, angle, efficiency, gear ratio, and safety factor.

Why is radius important?

A larger radius increases torque demand because the load acts farther from the shaft center. Small radius values usually need less shaft torque.

Should I use mass or force?

You can use either. Mass units are converted into force using gravity and acceleration. Force units are treated as direct lifting force.

What angle should I enter?

Use 90 degrees when the rope, chain, or force is tangent to the drum. Lower angles reduce effective turning force and increase torque demand.

What is system efficiency?

Efficiency represents losses in gears, bearings, belts, seals, and other parts. Lower efficiency means the motor must provide more torque.

How does gear ratio affect motor torque?

A reduction gear multiplies output torque. A higher gear ratio can reduce motor torque demand, but real losses still apply through efficiency.

Why add a safety factor?

A safety factor allows for shock loads, wear, measurement errors, and changing field conditions. Critical lifting systems need conservative checks.

Can this replace engineering design?

No. It supports early estimates only. Always check brakes, shafts, motors, mounts, ropes, duty cycle, standards, and professional requirements before use.

Related Calculators

Paver Sand Bedding Calculator (depth-based)Paver Edge Restraint Length & Cost CalculatorPaver Sealer Quantity & Cost CalculatorExcavation Hauling Loads Calculator (truck loads)Soil Disposal Fee CalculatorSite Leveling Cost CalculatorCompaction Passes Time & Cost CalculatorPlate Compactor Rental Cost CalculatorGravel Volume Calculator (yards/tons)Gravel Weight Calculator (by material type)

Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.