A gear is a wheel with teeth around its circumference, the purpose of the teeth being to mesh with similar teeth on another mechanical device -- possibly another gear wheel -- so that force can be transmitted between the two devices in a direction tangential to their surfaces. A non-toothed wheel can transmit some tangential force but will slip if the force is large; teeth prevent slippage and allow the transmission of large forces.
A gear can mesh with any device having teeth compatible with the gear's teeth. Such devices include racks and other non-rotating devices; however, the most common situation is for a gear to be in mesh with another gear. In this case rotation of one of the gears necessarily causes the other gear to rotate. In this way, rotational motion can be transferred from one location to another (that is, from one shaft to another). While gears are sometimes used simply for this reason -- to transmit rotation to another shaft -- perhaps their most important feature is that, if the gears are of unequal sizes (diameters), a mechanical advantage is also achieved, so that the rotational speed, and torque (rotational force), of the second gear are different from that of the first. In this way, gears provide a means of increasing or decreasing a rotational speed, or a torque. This is a highly useful property.
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