What is the formula used to calculate mechanical advantage in a simple machine?

The formula for calculating mechanical advantage in a simple machine is defined as the ratio of the output force produced by the machine to the input force applied to it. By using this formula—output force divided by input force—one can determine how much the machine amplifies the input force. A mechanical advantage greater than one indicates that the machine is effectively increasing the force, making it easier to perform work.

This concept is critical in understanding how different machines are designed to assist in tasks that require lifting, moving, or applying force to an object. It emphasizes the efficiency of the machine in transforming applied force into useful work. In practical terms, this reflects how a lever, pulley, or gearbox can provide a gain in force, helping to accomplish tasks that would otherwise be difficult or impossible with the input force alone.

The other options present formulas or concepts that do not relate to the specific calculation of mechanical advantage. For example, some may describe efficiency or relationships in different contexts but do not apply directly to the mechanical advantage derived from simple machines.