Torque Calculator – Free Online Tool

This tool calculates the torque based on the lever arm length and the applied force.

How to Use the Torque Calculator

To use this torque calculator, simply enter the force applied in Newtons, the distance from the fulcrum in meters, and the angle between the force vector and the lever arm in degrees. Hit the “Calculate” button to find the torque.

Example Input

  • Force: 10 N
  • Distance: 2 m
  • Angle: 90 degrees

The result would display as 20.00 Nm.

Calculation Explanation

The formula used to calculate torque (τ) is:

τ = F × d × sin(θ)

Where:

  • F is the force applied (in Newtons)
  • d is the distance from the fulcrum or pivot point (in meters)
  • θ is the angle between the force vector and the lever arm (in degrees)

Limitations

This calculator assumes that the input values follow the correct units strictly and the angle is measured in degrees which is then internally converted to radians for the trigonometric calculations. The result is rounded to two decimal points for simplicity. Please ensure that the angle is correctly input, as incorrect angles may result in inaccurate torque calculations.

Use Cases for This Calculator

Calculate Torque based on Force and Distance

Input the force applied and the distance from the pivot point where the force is applied to calculate the torque produced. Torque is the measure of how much a force acting on an object causes that object to rotate.

Convert Torque Units

Convert torque units between Newton-meters (Nm), foot-pounds (ft-lb), and inch-pounds (in-lb) easily. This feature helps you work with torque measurements in various units without manual conversions.

Determine Force from Torque and Distance

Specify the distance from the pivot point and the torque applied to find out the force required to produce that torque. This calculation is useful in understanding how much force is needed to rotate an object.

Estimate Distance from Torque and Force

Input the torque and force values to estimate the distance from the pivot point where the force is applied. Knowing the distance is crucial in mechanical applications to ensure the desired torque is achieved.

Calculate Power from Torque and Angular Speed

By entering the torque and angular speed (in radians per second), you can calculate the power generated. This helps in determining how much work can be done in a given time with the torque provided.

Determine Torque for Rotational Motion

Use this feature to calculate the torque required for an object to achieve rotational motion. Input the moment of inertia and the angular acceleration to find the torque needed to overcome the rotational inertia.

Compare Torque Values for Different Objects

Input torque values for multiple objects to compare which one requires more torque for rotation. This can help in selecting the right motor or mechanism based on torque requirements.

Analyze Torque Ratio in Mechanical Systems

Input torque values for different components in a mechanical system to analyze the torque distribution and balance. Understanding torque ratios is crucial for ensuring proper functioning of gears, pulleys, or levers.

Calculate Angular Acceleration from Torque and Moment of Inertia

By inputting the torque applied and the moment of inertia of an object, you can calculate the resulting angular acceleration. This helps in understanding how quickly an object can change its rotational speed.

Check Torque Limitations for Bolts and Fasteners

Input the torque values specified for bolts or fasteners and compare them with the calculated torque. This helps in ensuring that the applied torque does not exceed the limits to avoid damaging the components.