# Work done by tension force – formula and derivation

In another article, we discussed the tension of a string or rope. We found that the tension of a string is a kind of force. Again, we know that a body can move due to the application of external force. So, the work done on a body depends on the force acting on it. Then, it seems like the tension may be responsible for any mechanical work on an object. In this article, we are going to discuss exactly that. Here we are to discuss the work done by tension force in a string or rope and the formula for the work done by tension.

## Formula for work done by the tension force

In another article, we became to know that tension appears in a string only if an external force is applied at one of the ends of the string. This tension force acts in the opposite direction of the external force. Clearly, the tension force has no intention to move the object attached to the string. Actually, the tension force cannot move an object. It just tries to hold the system at a fixed position. This is why the work done by the tension force of a string is zero.

Thus, the formula for work done by tension force is W = 0.

This is all from this article on the reason why is the work done by the tension of a string zero. If you have any doubt about this fact you can ask me in the comment section.

Thank you!

Related posts:

1. Tension in a string – all facts and concepts
2. Work done by applied force – formula and calculation