Why does a spanner have a long handle?
A spanner works on the principle of moment.
The diagram is shown below:

It is most effective when a small force creates a large moment. For this to happen, the perpendicular distance between the point of application and point of action of the force, r(in this case, the length of the handle) must be increased, since moment of a force ‘F’ = r × F. That’s why a spanner has a long handle.
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