# Moment of force calculator

## Mechanics

## Moment of force

Moment of force, also known as torque, is a measure of the rotational force applied to an object around an axis. It is a crucial concept in physics and engineering, used to understand the behavior of objects in rotation, such as gears, wheels, and levers. **The formula for calculating the moment of force is:** M = F * r * sin(\alpha)

where M is the torque, F is the force, r is the distance from the axis of rotation, and α is the angle between the force and the distance.

To use the moment of force calculator, one must input the values for force, distance from the axis of rotation, and the angle of the force. Once these values are entered, the calculator will then determine the torque.

For example, if a force of 10 N is applied to a wrench that is 0.5 meters away from the axis of rotation at a 30-degree angle, **the torque would be:** M = (10 N) * (0.5 m) * sin(30°) = 2.5 N*m

It's important to note that torque is a vector quantity, and thus has both magnitude and direction. The direction of the torque is determined by the right-hand rule. If you curl the fingers of your right hand in the direction of rotation, your thumb will point in the direction of the torque.

Torque plays a crucial role in many fields, including mechanics, robotics, and aerospace engineering. It is used to design and optimize machines, such as gears and motors, and to understand the behavior of objects in rotation. Understanding how to calculate torque and the factors that affect it can help engineers and scientists design more efficient and effective machines and structures.

- Mechanics
- Thermodynamics
- Oscillations and waves
- Optics
- Electrodynamics
- Atomic physics
- Quantum mechanics