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Rack & Pinion:
A single gear, the pinion, meshes with a sliding toothed rack. This combination converts rotary motion to linear motion. A rack can be considered as a gear of infinite radius. The device is reversible, which means it can be used for converting linear motion to rotaty motion. If the pinion turns by an angle , the rack will move a distance of .
Machines
Worm gear drive is commonly used to obtain higher velocity ratio when compared with other forms of gearing. Here, the shafts are non-intersecting and nearly make an angle of 90 degree with each other. The worm, which is usually the driver, is a special form of helical gear, in which the helix angle is such that the tooth becomes a thread. The driven member is also a helical gear in which the helix angle is the complement of that of the worm. Worm and worm gear system can provide very high-speed reduction (usually from 30 to 300). However, the efficiency is very poor (usually from 50% to 85%). Often this drive is self locking, which means rotation of worm gear will not cause worm to rotate.