Cross-Sectional Area of Specimen Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross-sectional area of specimen = (Volume of Air Flow through Specimen*Height of Specimen)/(Permeability Number*Air pressure*Time)
A = (V*h)/(PN*ρ*t)
This formula uses 6 Variables
Variables Used
Cross-sectional area of specimen - (Measured in Square Meter) - Cross-sectional area of specimen is the area exposed when specimen is cut transversely.
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.
Height of Specimen - (Measured in Meter) - Height of Specimen is the height of specimen defined in question.
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 - (Measured in Pascal) - Air pressure is the pressure exerted by air on the walls in which it is confined.
Time - (Measured in Second) - Time is the fundamental dimension of measurement.
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
Height of Specimen: 6 Meter --> 6 Meter No Conversion Required
Permeability Number: 2.9 Henry per Meter --> 2.9 Henry per Meter No Conversion Required
Air pressure: 0.08 Kilogram-Force per Square Meter --> 0.784531999999945 Pascal (Check conversion here)
Time: 3 Second --> 3 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (V*h)/(PN*ρ*t) --> (0.002*6)/(2.9*0.784531999999945*3)
Evaluating ... ...
A = 0.00175813140168621
STEP 3: Convert Result to Output's Unit
0.00175813140168621 Square Meter --> No Conversion Required
FINAL ANSWER
0.00175813140168621 0.001758 Square Meter <-- Cross-sectional area of specimen
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
Verified by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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12 Permeability Number Calculators

Cross-Sectional Area of Specimen
Go Cross-sectional area of specimen = (Volume of Air Flow through Specimen*Height of Specimen)/(Permeability Number*Air pressure*Time)
Air Pressure during Testing
Go Air pressure = (Volume of Air Flow through Specimen*Height of Specimen)/(Permeability Number*Cross-sectional area of specimen*Time)
Time Taken during Testing
Go Time = (Volume of Air Flow through Specimen*Height of Specimen)/(Permeability Number*Air pressure*Cross-sectional area of specimen)
Volume of Air Passed through Specimen
Go Volume of Air Flow through Specimen = (Permeability Number*Air pressure*Cross-sectional area of specimen*Time)/Height of Specimen
Height of Specimen
Go Height of Specimen = (Permeability Number*Air pressure*Cross-sectional area of specimen*Time)/Volume of Air Flow through Specimen
Permeability Number
Go Permeability Number = (Volume of air*Height of Specimen)/(Air pressure*Cross-sectional area of specimen*Time)
Pouring Temperature from Fluidity Spiral Length
Go Pouring temperature = (389.6+Fluidity spiral length-37.846*Coefficient of Fluctuation of Flywheel Speed)/0.228
Ranginess Factor
Go Ranginess Factor = Modulus of Cube of same Volume as Casting/Modulus of Casting
Grain Fineness Number
Go Grain Fineness Number = Sum of Product of Factor and Grams/Total Mass of Sand
Pressure during Testing or Standard Specimen
Go Pressure = 501.28/(Permeability Number*Time)
Permeability Number or Standard Specimen
Go Permeability Number = 501.28/(Pressure*Time)
Time Taken in Standard Specimen Testing
Go Time = 501.28/(Permeability Number*Pressure)

Cross-Sectional Area of Specimen Formula

Cross-sectional area of specimen = (Volume of Air Flow through Specimen*Height of Specimen)/(Permeability Number*Air pressure*Time)
A = (V*h)/(PN*ρ*t)

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*Height of Specimen)/(Permeability Number*Air pressure*Time) to calculate the Cross-sectional area of specimen, The Cross-sectional area of specimen is the section exposed on cutting the specimen transversely, used during permeability testing. 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), Height of Specimen (h), Permeability Number (PN), Air pressure (ρ) & Time (t) and hit the calculate button. Here is how the Cross-Sectional Area of Specimen calculation can be explained with given input values -> 0.001758 = (0.002*6)/(2.9*0.784531999999945*3).

FAQ

What is Cross-Sectional Area of Specimen?
The Cross-sectional area of specimen is the section exposed on cutting the specimen transversely, used during permeability testing and is represented as A = (V*h)/(PN*ρ*t) or Cross-sectional area of specimen = (Volume of Air Flow through Specimen*Height of Specimen)/(Permeability Number*Air pressure*Time). Volume of Air Flow through Specimen is the amount of air which passes through the specimen during testing, Height of Specimen is the height of specimen defined in question, Permeability Number is the rate of flow of air passing through a standard specimen under a standard pressure, Air pressure is the pressure exerted by air on the walls in which it is confined & Time is the fundamental dimension of measurement.
How to calculate Cross-Sectional Area of Specimen?
The Cross-sectional area of specimen is the section exposed on cutting the specimen transversely, used during permeability testing is calculated using Cross-sectional area of specimen = (Volume of Air Flow through Specimen*Height of Specimen)/(Permeability Number*Air pressure*Time). To calculate Cross-Sectional Area of Specimen, you need Volume of Air Flow through Specimen (V), Height of Specimen (h), Permeability Number (PN), Air pressure (ρ) & Time (t). With our tool, you need to enter the respective value for Volume of Air Flow through Specimen, Height of Specimen, Permeability Number, Air pressure & 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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