A mechanic can exert 113Nm of torque on his wrench. What is the torque exerted if the wrench were 7 times shorter AND the man could exert 5 times more force?
It is a matter of
Let Force be f
Let distance be d
Consider the question parts:
Wrench were 7 times shorter
The man could exert 5 times more force
Consider equation (1)
By applying these changes to the left the equation becomes unbalanced. To maintain balance we have to change the right hand side in the same manor.
By the new conditions we have for the LHS
To make the LHS of (1) the same as this we apply
We have to do the same to the right hand side (RHS)
Combining (2) and (3) gives