The following mathematical models are foundational for this

The following mathematical models are foundational for this class. For each model: (i) give the correct governing equation, (ii) explain the concept/principle represented by the model/equation, (iii) explain the quantity represented by each variable in the governing equation, (iv) supply the SI units of all variables in each equation, and (v) based on your review of the course webpage/textbook table of contents, outline a problem/calculation where it would be useful to apply this model in this course. Ideal Gas Law on a molar basis Ideal Gas Law on a mass basis Caloric Equation of State (for an Ideal Gas) First Law of Thermodynamics for a closed system First Law of Thermodynamics for an open system Heat Transfer for a reversible process Work Transfer for a reversible process Fourier\'s Law of Conduction Newton\'s Law of Cooling Steady State Continuity Equation First Law Efficiency (do this for an engine, for a heat pump, and for a refrigerator)

Solution

design a two stage compound reverted gearbox to be used in a small power drill. To meet the requirement of low-torque and high torque setting, design the gearbox for two velocity ratios 8 and 40. the gear box is connected to a 2500 rpm. 10 hp electric motor and must be designed to work at an elavated temprature 400 F. The gears are to be made of 4140 Nitrided Steel