Work done by tension force – formula and derivation

In another article, we have discussed the tension of a string or rope. We found that tension of 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 by a body depends on the force on it. Then, it seems like that the tension may be the 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 tension force

In another article, we became to know that the tension appears in a string only if an external force is applied at one of the ends on the string. This tension force acts in the opposite direction of the external force. Clearly, the tension force has no intension to move the object attached with 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 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 is zero. If you have any doubt on this fact you can ask me in the comment section.

Thank you!

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

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