A technician uses a standard torque wrench to tighten a critical bolt on an aircraft's landing gear. The technician applies a perpendicular force of 45.0 N45.0\text{ N}45.0 N to the handle of the wrench at a distance of 0.40 m0.40\text{ m}0.40 m from the pivot (the centre of the bolt).
State the equation linking moment, force and perpendicular distance from the pivot.
Calculate the moment of the force applied by the technician on the bolt and give the unit.
Due to tight space constraints, the technician has to switch to a more compact wrench. On this compact wrench, the force is applied at a distance of only 0.25 m0.25\text{ m}0.25 m from the pivot. Explain why the minimum force required to tighten the bolt to the same level using this compact wrench is greater than 45.0 N45.0\text{ N}45.0 N.
