analyzing the pneumatic reservoir building a mathematical model of the interior volume of the...
TRANSCRIPT
Analyzing the Pneumatic Reservoir
Building a Mathematical Model of The Interior Volume of the Reservoir
Steps to Determine the Interior Volume of the Pneumatic Cylinder
•Measure and Record Reservoir Component Dimensions
•Calculate The Component Volumes
•Research The Component Material Density
•Calculate the Weight of Each Component
•Calculate The Interior Volume of the Reservoir
•Verify the Answer
Download and Complete the Work Sheet Supplied With This Lesson.
The Pneumatic Reservoir Analysis Work Sheet
Can be Found in the Learning Tools Section of this Lesson
Maintain a Notebook That Documents All Your Work
Component DiameterLength Volume Weight
SS Tube
End Cap
Threaded Boss
Pneumatic Reservoir
Interior Cyl.
Record Your Work
Exterior cyl.
Water Volume
Material Density
Aluminum Density
Stainless Steel Density
Step 2Calculate the Component Volumes
The Aluminum End Caps (2)
The Threaded Boss (2)
The Stainless Steel TubeThese Are Cylindrical Shapes
LengthRVolume 2Record Your Answers
Density = Weight / Volume
Equal Volumes
Different Weights
Less Dense
More Dense
The Concept of DensityMore Matter Contained in an Equal Volume
Step 3Research and Record the Density of
Aluminum and Stainless Steel
Aluminum AluminumStainless Steel____________
Find and Record the Density of:
Aluminum____________
Stainless Steel
Note: There are many alloys of Aluminum and Stainless Steel. Use an Average Density
Click Here for an online list of material densities
Step 4 Calculate the Weight
of the Aluminum Components
VolumeDensityWeight Weight of Aluminum End Cap x 2 = ____________
Weight of Threaded Boss x 2 = ____________
Total Weight Aluminum Components = ____________
Record Your Answers
Step 5Calculate the Weight
of the Stainless Steel Tube
Weight of Pneumatic Reservoir
Total Weight Aluminum Components
Weight of Stainless Steel Tube
Record Your Answer
Stainless Steel Exterior Cylinder
Imaginary Stainless Steel Interior Cylinder
Imagine Two Solid SS CylindersThe Exterior Cylinder Dimensions are Known
The Interior Cylinder Dimensions Are Calculated From Known Values and the Density Equation
Step 6Calculate The Exterior Cylinder Weight
Begin by assuming the Stainless Steel Tube is a Solid Stainless Steel Cylinder
Calculate the Weight of This Imaginary Cylinder: Use Outside Dimensions
Weight = Density x Volume
Record Your Answer
Step 7 Calculate the Interior Cylinder Weight
Weight of Exterior Stainless Steel Cylinder(From Previous Slide)
Weight of Stainless Steel Tube
Weight of the Interior Stainless Steel Cylinder
Record Your Answer
Step 8 Calculate the Interior Volume the
Pneumatic ReservoirUse the Density Equation and the Weight of the Interior
Stainless Steel cylinder to Calculate the Volume
D (Density SS) = W (Weight) / Vi (Interior Cylinder Volume)
Vi (Interior Cylinder Volume) = W (Weight) / D (Density SS)
Rewrite the Equation to Solve for Vi
Record Your Answer
Step 9 Verify the Answer
Two Possible Methods
1. Consult the Manufacturers Specification
1. Measure the Fluid Volume of the Reservoir
This is the easiest and most efficient method. Learn to use specifications.
This process is explained in the next slide
Measure the Fluid Volume of the Reservoir
1. Unscrew and remove the Schrader valve.2. Unscrew and remove the one touch tubing
connector.3. Holding the reservoir level, slowly fill it with
water.4. When the reservoir is full, empty the reservoir into
a graduated cylinder.5. Read the volume of water in the graduated
cylinder.
Caution: Remove ALL the Water before pressurizing the reservoir