What is the relationship between the size of the gears and the resulting output speed of the system? For example, is the resulting output speed faster, slower, or the same as the input speed?
The relationship between the size of the gears and the resulting output speed of the system depends on the gear ratio. A gear ratio is defined as the ratio of the number of teeth on one gear to the number of teeth on another gear it is meshed with.
If the gear attached to the input shaft has more teeth than the gear attached to the output shaft, the resulting output speed will be slower than the input speed. This is because the gear ratio is less than 1, meaning that for one full revolution of the input gear, the output gear will not complete a full revolution.
Conversely, if the gear attached to the input shaft has fewer teeth than the gear attached to the output shaft, the resulting output speed will be faster than the input speed. This is because the gear ratio is greater than 1, meaning that for one full revolution of the input gear, the output gear will complete more than one full revolution.
In summary, the resulting output speed of the system can be faster, slower, or the same as the input speed depending on the relative sizes of the gears and the gear ratio.