In rotational motion the formulas are identical, we just have some different terms. Rotational force is called Torque and rotational distance is measured in radians or degrees. For a fixed power, if you need more torque the speed must go down or if more speed is needed then the torque available will decrease. A bicycle is another perfect example of how gearing controls toque and speed. Shifting gears on a bicycle is done to make the rider as efficient as possible.
Low gear is for going up hills, high gear is used to go fast on smooth flat land.
A pinion or spur gear is a simple gear used to mesh with another gear in the same plane. This type of drive is used to change the axis of rotation. Rack and Pinion A pinion turns and moves a rack in order to convert rotational motion into linear motion. Rack and pinion steering is just one of many applications of this gear set. A worm gear is used for high ratio speed reduction.