Torque τ=rFsinθ
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The torque calculator is an online tool that allows you to calculate the torque, also known as moment of force, at a given point. Torque is a measure of the rotational force that causes an object to rotate around an axis. It is calculated using the formula τ = rFsinθ, where τ is the torque, r is the distance from the axis of rotation to the point of application of the force, F is the applied force, and θ is the angle between the force and the lever arm.
The formula τ = rFsinθ is essential to understanding how torque works. The lever arm, represented by r, is the perpendicular distance between the axis of rotation and the line of action of the force. The applied force F and the angle θ between the force and the lever arm are also crucial for calculating the torque. With these values, it is possible to determine the magnitude of the torque, which is expressed in units of force times distance, such as Newton-meters (N·m).
Torque is an important quantity in various fields, such as mechanical engineering, physics, and construction. It is used to analyze the stability of structures, design systems for transmitting motion, and calculate the force required to rotate an object. For example, when tightening a screw, the applied torque is crucial to ensure that the screw is properly secured without damaging the surrounding material.
When using the torque calculator, it is important to be careful with the units of measurement used and ensure that the input values are accurate. Additionally, it is essential to consider the context in which the torque is being applied, as different materials and situations may require specific calculations and special care.
Frequently asked questions
What is torque and what is it used for?
Torque is the measure of the rotational force that causes an object to rotate around an axis. It is used in various fields, such as mechanical engineering and physics, to analyze the stability of structures and design systems for transmitting motion.
What are the units of measurement for torque?
The units of measurement for torque are units of force times distance, such as Newton-meters (N·m) or pound-feet (lb·ft).
How do I calculate torque using the formula τ = rFsinθ?
To calculate torque, you need to know the distance from the axis of rotation to the point of application of the force (r), the applied force (F), and the angle between the force and the lever arm (θ). Then, simply substitute these values into the formula τ = rFsinθ.
What precautions should I take when using the torque calculator?
When using the torque calculator, it is essential to be careful with the units of measurement used and ensure that the input values are accurate. Additionally, consider the context in which the torque is being applied.