Final answer:
A posthole digger is a complex machine made up of levers and wedges. The handles act as levers and the blades as wedges. IMA can be found using formulas related to the dimensions and forces involved in these simple machines.
Step-by-step explanation:
A posthole digger is a complex machine that combines two pairs of simple machines to perform its task. These simple machines are levers and wedges. The handles of the digger act as levers when they are squeezed together to thrust the blades into the ground and again when they are pulled apart to grab and lift the soil. The blades of the digger function as wedges, cutting into the soil to separate it so it can be lifted out. To find the Ideal Mechanical Advantage (IMA) of each type of simple machine, one would typically use formulas that consider the dimensions and input versus output forces of the levers and the angle of the wedge's edge.
For example, the IMA of a lever is calculated by dividing the distance from the fulcrum to the point where the input force is applied (input arm) by the distance from the fulcrum to the point where the output force is exerted (output arm). The sharper the wedge, the greater the IMA, as less force is needed to push it through a material, which relates to the wedge's angle and thickness. These principles illustrate how simple machines make work easier by allowing us to exert less force over greater distances or to multiply the input force.