FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Number of Active Grains per Unit Area given Constant for Grinding Wheel Formula

GoNumber of Active Grains per Unit Area on Wheel Surface Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Number of Active Grains per Unit Area given Constant for Grinding Wheel Example

With values

With units

Only example

Here is how the Number of Active Grains per Unit Area given Constant for Grinding Wheel equation looks like with Values.

Here is how the Number of Active Grains per Unit Area given Constant for Grinding Wheel equation looks like with Units.

Here is how the Number of Active Grains per Unit Area given Constant for Grinding Wheel equation looks like.

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

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

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

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Machining » fx Number of Active Grains per Unit Area given Constant for Grinding Wheel

Number of Active Grains per Unit Area given Constant for Grinding Wheel Solution

Follow our step by step solution on how to calculate Number of Active Grains per Unit Area given Constant for Grinding Wheel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

C g = \frac{6}{13.3235 \cdot 0.26 \cdot \sqrt{0.12m}}

Next Step Prepare to Evaluate

∴

C g = \frac{6}{13.3235 \cdot 0.26 \cdot \sqrt{0.12}}

Next Step Evaluate

∴

C g = 5.0000029086025

LAST Step Rounding Answer

∴

C g = 5

Number of Active Grains per Unit Area given Constant for Grinding Wheel Formula Elements

Variables

Functions

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

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

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 Number of Active Grains Per Area on Wheel Surface

Go Number of Active Grains per Unit Area on Wheel Surface

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

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 Grain-aspect Ratio

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

How to Evaluate Number of Active Grains per Unit Area given Constant for Grinding Wheel?

Number of Active Grains per Unit Area given Constant for Grinding Wheel evaluator uses Number of Active Grains Per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain Aspect Ratio*sqrt(Diameter of Grinding Wheel)) to evaluate the Number of Active Grains Per Area on Wheel Surface, Number of Active Grains per Unit Area given Constant for Grinding Wheel is measuring the numbers of abrasive grains that are effectively engaged in the grinding process, using grinding wheel constant 'K', which is specific for that grinding wheel only. This parameter gives us the idea of how much material can be removed from workpiece per pass of grinding wheel. Number of Active Grains Per Area on Wheel Surface is denoted by C_g symbol.

How to evaluate Number of Active Grains per Unit Area given Constant for Grinding Wheel using this online evaluator? To use this online evaluator for Number of Active Grains per Unit Area given Constant for Grinding Wheel, enter Constant for Particular Grinding Wheel (K), Grain Aspect Ratio (r_g) & Diameter of Grinding Wheel (D_t) and hit the calculate button.

FAQs on Number of Active Grains per Unit Area given Constant for Grinding Wheel

What is the formula to find Number of Active Grains per Unit Area given Constant for Grinding Wheel?

The formula of Number of Active Grains per Unit Area given Constant for Grinding Wheel is expressed as Number of Active Grains Per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain Aspect Ratio*sqrt(Diameter of Grinding Wheel)). Here is an example- 4.999988 = 6/(13.32346*0.26*sqrt(0.12)).

How to calculate Number of Active Grains per Unit Area given Constant for Grinding Wheel?

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

What are the other ways to Calculate Number of Active Grains Per Area on Wheel Surface?

Here are the different ways to Calculate Number of Active Grains Per Area on Wheel Surface-

Number of Active Grains Per Area on Wheel Surface=Number of Chip Produced Per Unit Time/(Surface Speed of Wheel*Back Engagement)

Let Others Know

✖

Facebook

Twitter

Copied!

Number of Active Grains per Unit Area given Constant for Grinding Wheel Formula

​GoNumber of Active Grains per Unit Area on Wheel Surface Formula

Number of Active Grains per Unit Area given Constant for Grinding Wheel Example

Number of Active Grains per Unit Area given Constant for Grinding Wheel Solution

Number of Active Grains per Unit Area given Constant for Grinding Wheel Formula Elements

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

Other formulas in Grain category

How to Evaluate Number of Active Grains per Unit Area given Constant for Grinding Wheel?

FAQs on Number of Active Grains per Unit Area given Constant for Grinding Wheel

Variable Name

GoNumber of Active Grains per Unit Area on Wheel Surface Formula