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Grain-aspect Ratio given Constant for Grinding Wheel Formula

GoGrain-aspect Ratio Formula

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Grain Aspect Ratio describes the shape of the abrasive grains embedded within the grinding wheel. It signifies efficiency of grinding wheel based on the grain's shape and fracturing behavior. Check FAQs

r g = \frac{6}{C g \cdot K \cdot \sqrt{D t}}

r_g - Grain Aspect Ratio?C_g - Number of Active Grains Per Area on Wheel Surface?K - Constant for Particular Grinding Wheel?D_t - Diameter of Grinding Wheel?

Grain-aspect Ratio given Constant for Grinding Wheel Example

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Here is how the Grain-aspect Ratio given Constant for Grinding Wheel equation looks like with Values.

Here is how the Grain-aspect Ratio given Constant for Grinding Wheel equation looks like with Units.

Here is how the Grain-aspect Ratio given Constant for Grinding Wheel equation looks like.

0.26 = \frac{6}{5 \cdot 13.3235 \cdot \sqrt{120}}

0.26 = \frac{6}{5 \cdot 13.3235 \cdot \sqrt{120mm}}

0.26 = \frac{6}{5 \cdot 13.3235 \cdot \sqrt{120}}

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Grain-aspect Ratio given Constant for Grinding Wheel Solution

Follow our step by step solution on how to calculate Grain-aspect Ratio given Constant for Grinding Wheel?

FIRST Step Consider the formula

r g = \frac{6}{C g \cdot K \cdot \sqrt{D t}}

Next Step Substitute values of Variables

∴

r g = \frac{6}{5 \cdot 13.3235 \cdot \sqrt{120mm}}

Next Step Convert Units

∴

r g = \frac{6}{5 \cdot 13.3235 \cdot \sqrt{0.12m}}

Next Step Prepare to Evaluate

∴

r g = \frac{6}{5 \cdot 13.3235 \cdot \sqrt{0.12}}

Next Step Evaluate

∴

r g = 0.26000015124733

LAST Step Rounding Answer

∴

r g = 0.26

Grain-aspect Ratio given Constant for Grinding Wheel Formula Elements

Variables

Functions

Grain Aspect Ratio

Grain Aspect Ratio describes the shape of the abrasive grains embedded within the grinding wheel. It signifies efficiency of grinding wheel based on the grain's shape and fracturing behavior.

Symbol: r_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Grain Aspect Ratio

Number of Active Grains Per Area on Wheel Surface

Number of Active Grains Per Area on Wheel Surface is defined as the number of grains on a unit area of the surface of grinding wheel which are actively involved in grinding operation.

Symbol: C_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Active Grains Per Area on Wheel Surface

Constant for Particular Grinding Wheel

Constant for Particular Grinding Wheel is the constant value for the specific grinding wheel used in grinding operation. This constant depends on different grinding wheel parameters.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant for Particular Grinding Wheel

Diameter of Grinding Wheel

Diameter of Grinding Wheel is the distance across the widest part of grinding wheel, measured straight through the center of grinding wheel.

Symbol: D_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Grinding Wheel

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Grain Aspect Ratio

Go Grain-aspect Ratio

r g = \frac{w gMax}{t gMax}

Other formulas in Grain category

Go Metal removal rate during Grinding

Z w = f i \cdot a p \cdot V w

Go Infeed given Metal Removal Rate during Grinding

F in = \frac{Z w}{A p \cdot V w}

Go Width of Grinding Path given Metal Removal Rate

a p = \frac{Z w}{f i \cdot V w}

Go Number of Active Grains per Unit Area on Wheel Surface

C g = \frac{N c}{V t \cdot a p}

How to Evaluate Grain-aspect Ratio given Constant for Grinding Wheel?

Grain-aspect Ratio given Constant for Grinding Wheel evaluator uses Grain Aspect Ratio = 6/(Number of Active Grains Per Area on Wheel Surface*Constant for Particular Grinding Wheel*sqrt(Diameter of Grinding Wheel)) to evaluate the Grain Aspect Ratio, The Grain-aspect Ratio given Constant for Grinding Wheel calculates the shape of the chip a grinding wheel makes using constant 'K' for the specific to that operating grinding wheel. Higher ratio means wider chips and rougher finish, while lower ratio means smoother finish. Grain Aspect Ratio is denoted by r_g symbol.

How to evaluate Grain-aspect Ratio given Constant for Grinding Wheel using this online evaluator? To use this online evaluator for Grain-aspect Ratio given Constant for Grinding Wheel, enter Number of Active Grains Per Area on Wheel Surface (C_g), Constant for Particular Grinding Wheel (K) & Diameter of Grinding Wheel (D_t) and hit the calculate button.

FAQs on Grain-aspect Ratio given Constant for Grinding Wheel

What is the formula to find Grain-aspect Ratio given Constant for Grinding Wheel?

The formula of Grain-aspect Ratio given Constant for Grinding Wheel is expressed as Grain Aspect Ratio = 6/(Number of Active Grains Per Area on Wheel Surface*Constant for Particular Grinding Wheel*sqrt(Diameter of Grinding Wheel)). Here is an example- 0.259999 = 6/(5*13.32346*sqrt(0.12)).

How to calculate Grain-aspect Ratio given Constant for Grinding Wheel?

With Number of Active Grains Per Area on Wheel Surface (C_g), Constant for Particular Grinding Wheel (K) & Diameter of Grinding Wheel (D_t) we can find Grain-aspect Ratio given Constant for Grinding Wheel using the formula - Grain Aspect Ratio = 6/(Number of Active Grains Per Area on Wheel Surface*Constant for Particular Grinding Wheel*sqrt(Diameter of Grinding Wheel)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Grain Aspect Ratio?

Here are the different ways to Calculate Grain Aspect Ratio-

Grain Aspect Ratio=Maximum Width of Chip/Maximum Undeformed Chip Thickness

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Grain-aspect Ratio given Constant for Grinding Wheel Formula

​GoGrain-aspect Ratio Formula

Grain-aspect Ratio given Constant for Grinding Wheel Example

Grain-aspect Ratio given Constant for Grinding Wheel Solution

Grain-aspect Ratio given Constant for Grinding Wheel Formula Elements

Other Formulas to find Grain Aspect Ratio

Other formulas in Grain category

How to Evaluate Grain-aspect Ratio given Constant for Grinding Wheel?

FAQs on Grain-aspect Ratio given Constant for Grinding Wheel

Variable Name

GoGrain-aspect Ratio Formula