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Width of Grinding Path given Metal Removal Rate Formula

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Back Engagement is the width of cut in the axial direction of grinding wheel, while the depth of cut is the engagement of the grinding wheel in the radial direction. Check FAQs

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

a_p - Back Engagement?Z_w - Metal Removal Rate?f_i - Infeed in Grinding Operation?V_w - Surface Speed of Workpiece?

Width of Grinding Path given Metal Removal Rate Example

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Here is how the Width of Grinding Path given Metal Removal Rate equation looks like with Values.

Here is how the Width of Grinding Path given Metal Removal Rate equation looks like with Units.

Here is how the Width of Grinding Path given Metal Removal Rate equation looks like.

570.0388 = \frac{0.0038}{1.115 \cdot 5.9}

570.0388mm = \frac{0.0038m³/s}{1.115mm \cdot 5.9m/s}

570.0388 = \frac{0.0038}{1.115 \cdot 5.9}

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Width of Grinding Path given Metal Removal Rate Solution

Follow our step by step solution on how to calculate Width of Grinding Path given Metal Removal Rate?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a p = \frac{0.0038m³/s}{1.115mm \cdot 5.9m/s}

Next Step Convert Units

∴

a p = \frac{0.0038m³/s}{0.0011m \cdot 5.9m/s}

Next Step Prepare to Evaluate

∴

a p = \frac{0.0038}{0.0011 \cdot 5.9}

Next Step Evaluate

∴

a p = 0.570038762635859m

Next Step Convert to Output's Unit

∴

a p = 570.038762635859mm

LAST Step Rounding Answer

∴

a p = 570.0388mm

Width of Grinding Path given Metal Removal Rate Formula Elements

Variables

Back Engagement

Back Engagement is the width of cut in the axial direction of grinding wheel, while the depth of cut is the engagement of the grinding wheel in the radial direction.

Symbol: a_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Back Engagement

Metal Removal Rate

Metal Removal Rate (MRR) is the amount of volume removed from workpiece per unit time, when performing machining operations such as grinding.

Symbol: Z_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Metal Removal Rate

Infeed in Grinding Operation

Infeed in Grinding Operation refers to the controlled movement of the grinding wheel towards the workpiece to achieve a desired depth of cut or removal of material.

Symbol: f_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Infeed in Grinding Operation

Surface Speed of Workpiece

Surface Speed of Workpiece refers to the linear velocity of a point on the workpiece's circumference relative to the grinding wheel.

Symbol: V_w

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Surface Speed of Workpiece

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 Grain-aspect Ratio

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

Go Number of Active Grains per Unit Area on Wheel Surface

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

How to Evaluate Width of Grinding Path given Metal Removal Rate?

Width of Grinding Path given Metal Removal Rate evaluator uses Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece) to evaluate the Back Engagement, The Width of Grinding Path given Metal Removal Rate calculates the width of the area on the grinding wheel that actually comes into contact with the workpiece during grinding when the material removal rate is known to us. This term is also known as back engagement. If width of grinding path is more, the material removal rate will also increase. Back Engagement is denoted by a_p symbol.

How to evaluate Width of Grinding Path given Metal Removal Rate using this online evaluator? To use this online evaluator for Width of Grinding Path given Metal Removal Rate, enter Metal Removal Rate (Z_w), Infeed in Grinding Operation (f_i) & Surface Speed of Workpiece (V_w) and hit the calculate button.

FAQs on Width of Grinding Path given Metal Removal Rate

What is the formula to find Width of Grinding Path given Metal Removal Rate?

The formula of Width of Grinding Path given Metal Removal Rate is expressed as Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece). Here is an example- 193951.1 = 0.00375/(0.001115*5.9).

How to calculate Width of Grinding Path given Metal Removal Rate?

With Metal Removal Rate (Z_w), Infeed in Grinding Operation (f_i) & Surface Speed of Workpiece (V_w) we can find Width of Grinding Path given Metal Removal Rate using the formula - Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece).

Can the Width of Grinding Path given Metal Removal Rate be negative?

No, the Width of Grinding Path given Metal Removal Rate, measured in Length cannot be negative.

Which unit is used to measure Width of Grinding Path given Metal Removal Rate?

Width of Grinding Path given Metal Removal Rate is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Grinding Path given Metal Removal Rate can be measured.

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Width of Grinding Path given Metal Removal Rate Formula

Width of Grinding Path given Metal Removal Rate Example

Width of Grinding Path given Metal Removal Rate Solution

Width of Grinding Path given Metal Removal Rate Formula Elements

Other formulas in Grain category

How to Evaluate Width of Grinding Path given Metal Removal Rate?

FAQs on Width of Grinding Path given Metal Removal Rate

Variable Name