Eric, from your linked website you don't look so lost, actually look like you are very happy there in Thailand, I especially liked the pictures I presume of you in 70's
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The calculation is basically a ratio. Pressure is weight divided by area, normally measured in Pascals, kPa (kiloPascals or 1000's of Pascals), or MPa (MegaPascals or million Pascals) or in old imperial system mostly only used in US, psi, pounds per square inch. It is pressure that most people use to measure how much load they are putting on their cheese when pressing:
Step #1 - Basic FormulaPressure On Cheese = [Pressure Pneumatic] x [Area Pneumatic Cylinder] / [Area Cheese]
- Area Pneumatic is area inside your air cylinder.
Step #2 - Convert Area to FormulaPressure On Cheese = [Pressure Pneumatic] x [π x radius of Pneumatic Cylinder squared] / [π x radius of Cheese squared].
- π is pronounced pi and it's symbol looks more like a double capital t, ie TT.
Step #3 - Simplify FormulaThe π's cancel out so we are left with:
Pressure On Cheese = [Pressure Pneumatic] x [radius of Pneumatic Cylinder squared] / [radius of Cheese squared].
- This formula works whether you are using Pa, kPa, MPa, psi or tons, but you have to use the same radius units, don't mix inches and cm.
- Notice that height of cheese hoop or length of Pneumatic cylinder does not enter into the above equation.
Example CalculationsFor your example above we are missing the internal radius of the Pneumatic piston, for example calculations, lets assume it is 3 cm internal diameter, thus 1.5 cm internal radius. Therefore:
- Your low Pressure On Cheese was = 20 psi x 1.5 cm x 1.5 cm / 10 cm x 10 cm = 0.45 psi.
- Your high Pressure On Cheese was = 40 psi x 1.5 cm x 1.5 cm / 10 cm x 10 cm = 0.90 psi.
Or if like metric:
- Your low Pressure On Cheese was = [20 psi x 6.895 kpa/psi] x [1.5 cm x 1.5 cm] / [10 cm x 10 cm] = 3.10 kPa.
- Your high Pressure On Cheese was = [40 psi x 6.895 kpa/psi] x [1.5 cm x 1.5 cm] / [10 cm x 10 cm] = 6.20 kPa.
Lastly, instead of finding out the internal radius of your pneumatic cylinder and using the above formula, you could just stick bathroom scales between the granite slab and the follower, apply air pressure and see what reading you get
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