it is used to change directions
yes you can reverse worm and gear. A worm gear can rotate the worm, its based on the lead angle, pressure angle and co.efficient of friction between the pairs.
A crown gear has teeth that engage with other bevel gears. The teeth stick out at right angles to the face of the wheel. A worm gear is a screw that attaches to a wheel by engaging teeth along the wheel. As the screw turns, the wheel also moves and the drive reduces rotational speed and allows for higher torque. Worm gears are used when a project requires large gear reductions.
A worm gear can be found in a windscreen wiper and a windmill. It is a mechanical arrangement has a toothed wheel that is worked by a short revolving cylinder or worm that bears a screw thread.
gear box or speed reducer.
A bevel gear is cone shaped with the gear teeth placed vertically along the periphery. A worm gear is barrel shaped with the teeth spiraling along the length like a screw.
The general answer applies to this and other equipment or tools with similar drives. It goes like this. The worm gear is often machined onto the end of the rotor in the motor. The gear it drives, the worm wheel, is made of material that is not as hard and can fail more easily. If the tool jams up, it is better in the long run (read easier and cheaper) to replace the worm wheel rather than the worm itself. A similar tool with this drive setup is one of the high end Oster barber clippers.
A worm drive.
Even slower
Probably the simplest example in the bathroom would be the gear attached to the faucet handle. It consists of a worm gear which opens and closes a valve, restricting or blocking water flow from the spigot.
A worm or machine can be geared with worm gear to give it higher torque or to reduce rotational speed in the machine.
linear distance moved by the gear(worm,screw jack) for one rotation of the gear(worm,screw jack)