ASTM grain size number to Number of grains Calculator

✖ASTM grain size number is represented by a number ranging from 1 to 10.ⓘ ASTM grain size number [n]			+10% -10%
✖Magnification is the process of enlarging the apparent size, not physical size, of something.ⓘ Magnification [m]			+10% -10%

✖Number of grains at M X represents average number of grains per square inch at M magnification.ⓘ ASTM grain size number to Number of grains [N_M]

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Formula

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ASTM grain size number to Number of grains

Formula

`"N"_{"M"} = (2^("n"-1))*(100/"m")^2`

Example

`"2.4E^10gr/in²"=(2^("5"-1))*(100/"0.66")^2`

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ASTM grain size number to Number of grains Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of grains at M X = (2^(ASTM grain size number-1))*(100/Magnification)^2
N_M = (2^(n-1))*(100/m)^2
This formula uses 3 Variables

Variables Used

Number of grains at M X - (Measured in Grains Per Square Centimeter) - Number of grains at M X represents average number of grains per square inch at M magnification.
ASTM grain size number - ASTM grain size number is represented by a number ranging from 1 to 10.
Magnification - Magnification is the process of enlarging the apparent size, not physical size, of something.

STEP 1: Convert Input(s) to Base Unit

ASTM grain size number: 5 --> No Conversion Required
Magnification: 0.66 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_M = (2^(n-1))*(100/m)^2 --> (2^(5-1))*(100/0.66)^2

Evaluating ... ...

N_M = 367309.458218549

STEP 3: Convert Result to Output's Unit

367309.458218549 Grains Per Square Centimeter -->23697337006.6175 Grains Per Square Inch (Check conversion here)

FINAL ANSWER

23697337006.6175 ≈ 2.4E+10 Grains Per Square Inch <-- Number of grains at M X

(Calculation completed in 00.004 seconds)

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< 2 Grain Size Calculators

Hall - Petch Relation

Go Yield Strength = Constant in Hall Petch relation+(Coefficient in Hall Petch relation/sqrt(Grain size (in mm)))

ASTM grain size number to Number of grains

Go Number of grains at M X = (2^(ASTM grain size number-1))*(100/Magnification)^2

ASTM grain size number to Number of grains Formula

Number of grains at M X = (2^(ASTM grain size number-1))*(100/Magnification)^2
N_M = (2^(n-1))*(100/m)^2

ASTM grain size number

American Society for Testing and Materials (ASTM) has prepared several standard comparison charts, all having different average grain sizes. To each is assigned a number ranging from 1 to 10, which is termed the grain size number. More details can be found in ASTM Standard E 112, “Standard Methods for Estimating the Average Grain Size for Metals”.

How to Calculate ASTM grain size number to Number of grains?

ASTM grain size number to Number of grains calculator uses Number of grains at M X = (2^(ASTM grain size number-1))*(100/Magnification)^2 to calculate the Number of grains at M X, ASTM grain size number to Number of grains per square inch at any magnification conversion is made by multiplying the number of grains at 100 X with the square of the ratio of 100 and that magnification. Number of grains at M X is denoted by N_M symbol.

How to calculate ASTM grain size number to Number of grains using this online calculator? To use this online calculator for ASTM grain size number to Number of grains, enter ASTM grain size number (n) & Magnification (m) and hit the calculate button. Here is how the ASTM grain size number to Number of grains calculation can be explained with given input values -> 1.5E+15 = (2^(5-1))*(100/0.66)^2.

FAQ

What is ASTM grain size number to Number of grains?

ASTM grain size number to Number of grains per square inch at any magnification conversion is made by multiplying the number of grains at 100 X with the square of the ratio of 100 and that magnification and is represented as N_M = (2^(n-1))*(100/m)^2 or Number of grains at M X = (2^(ASTM grain size number-1))*(100/Magnification)^2. ASTM grain size number is represented by a number ranging from 1 to 10 & Magnification is the process of enlarging the apparent size, not physical size, of something.

How to calculate ASTM grain size number to Number of grains?

ASTM grain size number to Number of grains per square inch at any magnification conversion is made by multiplying the number of grains at 100 X with the square of the ratio of 100 and that magnification is calculated using Number of grains at M X = (2^(ASTM grain size number-1))*(100/Magnification)^2. To calculate ASTM grain size number to Number of grains, you need ASTM grain size number (n) & Magnification (m). With our tool, you need to enter the respective value for ASTM grain size number & Magnification 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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