Cross-Sectional Area of Specimen Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross-Sectional Area of Specimen = (Volume of Air Flow Through Specimen*Specimen Height)/(Permeability Number*Air Pressure on Wall*Time)
A = (V*Hsp)/(PN*ρ*tp)
This formula uses 6 Variables
Variables Used
Cross-Sectional Area of Specimen - (Measured in Square Meter) - Cross-Sectional Area of Specimen is the measure of the surface area perpendicular to the direction of an applied force or load, often used in materials testing to calculate stress and strain.
Volume of Air Flow Through Specimen - (Measured in Cubic Meter) - Volume of Air Flow Through Specimen is the amount of air which passes through the specimen during testing.
Specimen Height - (Measured in Meter) - Specimen Height is the vertical dimension of a sample or test piece extracted from a casting.
Permeability Number - (Measured in Henry per Meter) - Permeability Number is the rate of flow of air passing through a standard specimen under a standard pressure.
Air Pressure on Wall - (Measured in Pascal) - Air Pressure on Wall is the pressure exerted by air on the walls in which it is confined.
Time - (Measured in Second) - Time is various stages and durations throughout the casting process.
STEP 1: Convert Input(s) to Base Unit
Volume of Air Flow Through Specimen: 0.002 Cubic Meter --> 0.002 Cubic Meter No Conversion Required
Specimen Height: 5 Meter --> 5 Meter No Conversion Required
Permeability Number: 4.36 Henry per Meter --> 4.36 Henry per Meter No Conversion Required
Air Pressure on Wall: 0.0385 Kilogram-Force per Square Meter --> 0.377556024999973 Pascal (Check conversion ​here)
Time: 3 Second --> 3 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (V*Hsp)/(PN*ρ*tp) --> (0.002*5)/(4.36*0.377556024999973*3)
Evaluating ... ...
A = 0.00202493389923746
STEP 3: Convert Result to Output's Unit
0.00202493389923746 Square Meter --> No Conversion Required
FINAL ANSWER
0.00202493389923746 0.002025 Square Meter <-- Cross-Sectional Area of Specimen
(Calculation completed in 00.004 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Verified by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Permeability Number Calculators

Cross-Sectional Area of Specimen
​ LaTeX ​ Go Cross-Sectional Area of Specimen = (Volume of Air Flow Through Specimen*Specimen Height)/(Permeability Number*Air Pressure on Wall*Time)
Air Pressure during Testing
​ LaTeX ​ Go Air Pressure on Wall = (Volume of Air Flow Through Specimen*Specimen Height)/(Permeability Number*Cross-Sectional Area of Specimen*Time)
Time Taken during Testing
​ LaTeX ​ Go Time = (Volume of Air Flow Through Specimen*Specimen Height)/(Permeability Number*Air Pressure on Wall*Cross-Sectional Area of Specimen)
Permeability Number or Standard Specimen
​ LaTeX ​ Go Permeability Number = 501.28/(Pressure in Casting*Time)

Cross-Sectional Area of Specimen Formula

​LaTeX ​Go
Cross-Sectional Area of Specimen = (Volume of Air Flow Through Specimen*Specimen Height)/(Permeability Number*Air Pressure on Wall*Time)
A = (V*Hsp)/(PN*ρ*tp)

What is permeability number?

The Permeability Number the rate of flow of air passing through a standard specimen under a standard pressure.
The standard permeability test is to measure time taken by a 2000 cub cm of air at a pressure typically of 980 Pa (10 g/cm2), to pass through a standard sand specimen confined in a specimen tube. The standard specimen size is 50.8 mm in diameter and a length of 50.8 mm.

How to Calculate Cross-Sectional Area of Specimen?

Cross-Sectional Area of Specimen calculator uses Cross-Sectional Area of Specimen = (Volume of Air Flow Through Specimen*Specimen Height)/(Permeability Number*Air Pressure on Wall*Time) to calculate the Cross-Sectional Area of Specimen, Cross-Sectional Area of Specimen is the area of the specimen perpendicular to its length. This area is calculated based on the volume of air in the casting, the height of the specimen, the permeability number of the casting material, the pressure exerted on the casting during testing, and the time permeability of the casting material. Cross-Sectional Area of Specimen is denoted by A symbol.

How to calculate Cross-Sectional Area of Specimen using this online calculator? To use this online calculator for Cross-Sectional Area of Specimen, enter Volume of Air Flow Through Specimen (V), Specimen Height (Hsp), Permeability Number (PN), Air Pressure on Wall (ρ) & Time (tp) and hit the calculate button. Here is how the Cross-Sectional Area of Specimen calculation can be explained with given input values -> 0.002025 = (0.002*5)/(4.36*0.377556024999973*3).

FAQ

What is Cross-Sectional Area of Specimen?
Cross-Sectional Area of Specimen is the area of the specimen perpendicular to its length. This area is calculated based on the volume of air in the casting, the height of the specimen, the permeability number of the casting material, the pressure exerted on the casting during testing, and the time permeability of the casting material and is represented as A = (V*Hsp)/(PN*ρ*tp) or Cross-Sectional Area of Specimen = (Volume of Air Flow Through Specimen*Specimen Height)/(Permeability Number*Air Pressure on Wall*Time). Volume of Air Flow Through Specimen is the amount of air which passes through the specimen during testing, Specimen Height is the vertical dimension of a sample or test piece extracted from a casting, Permeability Number is the rate of flow of air passing through a standard specimen under a standard pressure, Air Pressure on Wall is the pressure exerted by air on the walls in which it is confined & Time is various stages and durations throughout the casting process.
How to calculate Cross-Sectional Area of Specimen?
Cross-Sectional Area of Specimen is the area of the specimen perpendicular to its length. This area is calculated based on the volume of air in the casting, the height of the specimen, the permeability number of the casting material, the pressure exerted on the casting during testing, and the time permeability of the casting material is calculated using Cross-Sectional Area of Specimen = (Volume of Air Flow Through Specimen*Specimen Height)/(Permeability Number*Air Pressure on Wall*Time). To calculate Cross-Sectional Area of Specimen, you need Volume of Air Flow Through Specimen (V), Specimen Height (Hsp), Permeability Number (PN), Air Pressure on Wall (ρ) & Time (tp). With our tool, you need to enter the respective value for Volume of Air Flow Through Specimen, Specimen Height, Permeability Number, Air Pressure on Wall & Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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