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The formula that represents the efficiency of a mechanism is defined as the ratio of mechanical advantage to velocity ratio, multiplied by 100 to express it as a percentage. This means that efficiency measures how well a machine converts input energy into output energy. When mechanical advantage, which indicates how much a machine amplifies the force, is divided by the velocity ratio, which indicates how much the speed of movement is increased or decreased, you gain insight into how effective the mechanism is in performing its intended function.

In this context, mechanical advantage refers to the ratio of the output force to the input force, while the velocity ratio is the ratio of the distance moved by the input to the distance moved by the output. Therefore, calculating efficiency using this formula allows one to assess whether the mechanism is operating optimally, taking into account the compromises between force and speed.

This approach to understanding efficiency is crucial in design technology because it helps engineers and designers evaluate performance, identify areas for improvement, and make informed decisions about materials and design choices in the creation of mechanical systems.