Can you tell why the torque is greater when the level arm is longer?

Question

You can simply answer it by stating the familliar equation torque=Fr.
But it is just a mathematical expression.
I expect a more intuitional answer.
Thx in advance.

Answer 1

The mathematical expression is sufficient, but if you want something more....

Torque is work per angle.

Force is work per distance.

So take a little wrench and a big wrench. You turn them by the same angle to do enough work to unstick a nut. They have to exert the same torque to do the job. But with the little wrench, your hand covered a smaller distance, so you needed to push harder. With the big wrench, you pushed with less force over more distance to do the same job. So that's why the big wrench gives you more torque for the same force.

Answer 2

I assume your referring to a lever and fulcrum. It's called Torsion, the internal torque created as a force is applied on for example a metal bar. As it bends there is a certian amount of force created from the bars attempt to return to it's original angle. that internal torque is multiplied depending on the material, length of the lever and position of the fulcrum.

Answer 3

Think of a See-Saw. One child on one side and one child on the other. They weigh the same. So, it sit level. Another child comes and sits on the other side and it will go down from the extra weight added.
So, the longer you make your arm the more weight it has to raise the other side.