# Torque Formula

## Torque Formula

Torque is the rotational equivalent of force in Physics and mechanics. Depending on the field of study, it is also known as the moment, moment of force, rotational force, or turning effect. It illustrates how a force can cause a change in the body’s rotational motion. A torque can be thought of as a twist to an object around a particular axis, just as a linear force is a push or a pull. The definition of torque is the product of the force’s strength and the angle at which the force’s line of action is perpendicular to the axis of rotation. Torque can also be understood in terms of the law of conservation of energy.

### What is Torque

The force that can cause an object to rotate around an axis is measured in torque. In linear kinematics, force is what drives an object’s acceleration. Similar to this, angular acceleration is brought on by torque. As a result, torque can be thought of as the rotational counterpart to force. The axis of rotation is a straight line about which an object rotates. Torque in physics is merely a force’s propensity to turn or twist. Torque is referred to using a variety of terms, including moment and moment of force. The moment arm or lever arm is the measurement of the separation between the point of application of force and the axis of rotation.

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### Torque Formula

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### The Formula Derivation

Finding the lever arm and multiplying it by the applied force is a straightforward method for calculating the torque’s size. Now, based on the aforementioned observation, we can deduce that the torque generated is influenced by the force’s strength and the angle of perpendicularity between the torque calculation point and the force application point.

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### Solved Example on Torque Formula

Q1. A car mechanic applies a force of 800 N to a wrench for the purpose of loosening a bolt. He applies the force which is perpendicular to the arm of the wrench. The distance from the bolt to the mechanic’s hand is 0.40 m. Find out the magnitude of the torque applied?

Answer: The angle between the moment the arm of the wrench and the force is without a doubt 90°, and sin 90° θ = 1. The torque is:

T = F × r × sinθ

Therefore, magnitude of the torque = (800N) (0.4m) = 320 N∙m

Hence, the magnitude of the torque is 320 N∙m.