Height of Specimen Calculator

✖Permeability Number is the rate of flow of air passing through a standard specimen under a standard pressure.ⓘ Permeability Number [PN]			+10% -10%
✖Air pressure on wall is the pressure exerted by air on the walls in which it is confined.ⓘ Air pressure on wall [ρ]			+10% -10%
✖Cross-sectional area of specimen is the area exposed when specimen is cut transversely.ⓘ Cross-sectional area of specimen [A]			+10% -10%
✖Time is the fundamental dimension of measurement.ⓘ Time [t_p]			+10% -10%
✖Volume of Air Flow through Specimen is the amount of air which passes through the specimen during testing.ⓘ Volume of Air Flow through Specimen [V]			+10% -10%

✖Specimen Height is the height of specimen defined in question.ⓘ Height of Specimen [h_sp]

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Formula

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Height of Specimen

Formula

`"h"_{"sp"} = ("PN"*"ρ"*"A"*"t"_{"p"})/"V"`

Example

`"5.005102m"=("4.36H/m"*"0.0385kgf/m²"*"0.002027m²"*"3s")/"0.002m³"`

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Height of Specimen Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specimen Height = (Permeability Number*Air pressure on wall*Cross-sectional area of specimen*Time)/Volume of Air Flow through Specimen
h_sp = (PN*ρ*A*t_p)/V
This formula uses 6 Variables

Variables Used

Specimen Height - (Measured in Meter) - Specimen Height 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 on wall - (Measured in Pascal) - Air pressure on wall is the pressure exerted by air on the walls in which it is confined.
Cross-sectional area of specimen - (Measured in Square Meter) - Cross-sectional area of specimen is the area exposed when specimen is cut transversely.
Time - (Measured in Second) - Time is the fundamental dimension of measurement.
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.

STEP 1: Convert Input(s) to Base Unit

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)
Cross-sectional area of specimen: 0.002027 Square Meter --> 0.002027 Square Meter No Conversion Required
Time: 3 Second --> 3 Second No Conversion Required
Volume of Air Flow through Specimen: 0.002 Cubic Meter --> 0.002 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_sp = (PN*ρ*A*t_p)/V --> (4.36*0.377556024999973*0.002027*3)/0.002

Evaluating ... ...

h_sp = 5.00510164989414

STEP 3: Convert Result to Output's Unit

5.00510164989414 Meter --> No Conversion Required

FINAL ANSWER

5.00510164989414 ≈ 5.005102 Meter <-- Specimen Height

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 11 Permeability Number Calculators

Cross-Sectional Area of Specimen

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

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

Go Time = (Volume of Air Flow through Specimen*Specimen Height)/(Permeability Number*Air pressure on wall*Cross-sectional area of specimen)

Volume of Air Passed through Specimen

Go Volume of Air Flow through Specimen = (Permeability Number*Air pressure on wall*Cross-sectional area of specimen*Time)/Specimen Height

Height of Specimen

Go Specimen Height = (Permeability Number*Air pressure on wall*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 on wall*Cross-sectional area of specimen*Time)

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 in Casting = 501.28/(Permeability Number*Time)

Permeability Number or Standard Specimen

Go Permeability Number = 501.28/(Pressure in Casting*Time)

Time Taken in Standard Specimen Testing

Go Time = 501.28/(Permeability Number*Pressure in Casting)

Ranginess Factor

Go Ranginess Factor = Modulus of Cube/Modulus of Casting

Height of Specimen Formula

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

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 Height of Specimen?

Height of Specimen calculator uses Specimen Height = (Permeability Number*Air pressure on wall*Cross-sectional area of specimen*Time)/Volume of Air Flow through Specimen to calculate the Specimen Height, The Height of specimen formula is defined as the height of sand specimen as described in standard testing. It taken as 5.08 cm. Specimen Height is denoted by h_sp symbol.

How to calculate Height of Specimen using this online calculator? To use this online calculator for Height of Specimen, enter Permeability Number (PN), Air pressure on wall (ρ), Cross-sectional area of specimen (A), Time (t_p) & Volume of Air Flow through Specimen (V) and hit the calculate button. Here is how the Height of Specimen calculation can be explained with given input values -> 4.992101 = (4.36*0.377556024999973*0.002027*3)/0.002.

FAQ

What is Height of Specimen?

The Height of specimen formula is defined as the height of sand specimen as described in standard testing. It taken as 5.08 cm and is represented as h_sp = (PN*ρ*A*t_p)/V or Specimen Height = (Permeability Number*Air pressure on wall*Cross-sectional area of specimen*Time)/Volume of Air Flow through Specimen. 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, Cross-sectional area of specimen is the area exposed when specimen is cut transversely, Time is the fundamental dimension of measurement & Volume of Air Flow through Specimen is the amount of air which passes through the specimen during testing.

How to calculate Height of Specimen?

The Height of specimen formula is defined as the height of sand specimen as described in standard testing. It taken as 5.08 cm is calculated using Specimen Height = (Permeability Number*Air pressure on wall*Cross-sectional area of specimen*Time)/Volume of Air Flow through Specimen. To calculate Height of Specimen, you need Permeability Number (PN), Air pressure on wall (ρ), Cross-sectional area of specimen (A), Time (t_p) & Volume of Air Flow through Specimen (V). With our tool, you need to enter the respective value for Permeability Number, Air pressure on wall, Cross-sectional area of specimen, Time & Volume of Air Flow through Specimen 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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