eli5: why is it easier to use a longer tool for bolts, or any leverage need?

Question

for example it’s easier to use a long breaker bar than a shorter cresent wrench on lugnuts.

I don’t understand the torque and *why* it’s easier and why distance has to do with it.

In: 0

Answer 1

You have more torque when you apply the force because it lets you apply the force over a larger distance. [Here’s a crude pic](https://i.imgur.com/SxoTa2i.png), but the point is: the longer the wrench, the bigger the difference between how far the wrench moves and how far the bolt moves. By compressing a long inch wrench turn into a short bolt turn, it multiplies the force.

(Less ELI5: work = force x distance. The work is constant and cannot disappear, so the bolt moving a shorter distance than the wrench handle where you’re pushing *must* experience a higher force)