Mechanical Control Systems: Calculations

Understand the basic formulas for force, which is the product of mass and acceleration (F=ma).
In calculations related to pulleys and gears, you’ll use ratios to find mechanical advantage, speed, and torque.
Have a clear understanding of velocity ratios, calculated as the velocity of the effort or input to the velocity of the load or output.
Remember the relationship between force and pressure with the formula P=F/A, which might be useful when dealing with hydraulic systems.

Pneumatic Control Systems: Calculations

Boyle’s Law (P1V1=P2V2) is a key principle in understanding how pneumatic systems function.
Standard calculations in pneumatic systems revolve around the interaction of pressure, volume, and temperature (PV=nRT).
Understanding and calculating flow rates (Q=A*v) can be essential.
Always remember, pneumatic systems work on the principle of compressing gases, thus equations relating to gas laws are often used.

Understand how to apply these calculations to real-world problems to predict system behaviour, design control systems, and troubleshoot issues.
Always check your calculations and ensure they are in the correct units.
Using mathematical models can aid in understanding the dynamics of control systems.
Remember that while you may not always be doing calculations manually in practice, understanding the underlying principles is key to making effective system adjustments.