What is the mathematical relationship
between efficiency, input work, and
useful output work?
The mathematical relationship between efficiency, input work, and useful output work can be expressed using the formula for efficiency. Efficiency is defined as the ratio of useful output work to input work, and it is typically denoted by the Greek letter eta (η).
Mathematically, the formula for efficiency is:
η = (Useful output work) / (Input work)
This equation represents how efficiently a system or process converts input work into useful output work. The efficiency value is always between 0 and 1 (or expressed as a percentage, between 0% and 100%). A higher efficiency value indicates a more efficient conversion process, where a larger proportion of the input work is converted into useful output work. Conversely, a lower efficiency value signifies a less efficient conversion process, where a smaller proportion of the input work is converted into useful output work.