✖Metal Removal Rate (MRR) is the amount of volume removed from workpiece per unit time, when performing machining operations such as grinding.ⓘ Metal Removal Rate [Z_w]			+10% -10%
✖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.ⓘ Infeed in Grinding Operation [f_i]			+10% -10%
✖Surface Speed of Workpiece refers to the linear velocity of a point on the workpiece's circumference relative to the grinding wheel.ⓘ Surface Speed of Workpiece [V_w]			+10% -10%

✖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.ⓘ Width of Grinding Path given Metal Removal Rate [a_p]

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Formula

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Width of Grinding Path given Metal Removal Rate

Formula

`"a"_{"p"} = "Z"_{"w"}/("f"_{"i"}*"V"_{"w"})`

Example

`"570.0388mm"="0.00375m³/s"/("1.115mm"*"5.9m/s")`

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Width of Grinding Path given Metal Removal Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece)
a_p = Z_w/(f_i*V_w)
This formula uses 4 Variables

Variables Used

Back Engagement - (Measured in Meter) - 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.
Metal Removal Rate - (Measured in Cubic Meter per Second) - Metal Removal Rate (MRR) is the amount of volume removed from workpiece per unit time, when performing machining operations such as grinding.
Infeed in Grinding Operation - (Measured in Meter) - 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.
Surface Speed of Workpiece - (Measured in Meter per Second) - Surface Speed of Workpiece refers to the linear velocity of a point on the workpiece's circumference relative to the grinding wheel.

STEP 1: Convert Input(s) to Base Unit

Metal Removal Rate: 0.00375 Cubic Meter per Second --> 0.00375 Cubic Meter per Second No Conversion Required
Infeed in Grinding Operation: 1.115 Millimeter --> 0.001115 Meter (Check conversion here)
Surface Speed of Workpiece: 5.9 Meter per Second --> 5.9 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_p = Z_w/(f_i*V_w) --> 0.00375/(0.001115*5.9)

Evaluating ... ...

a_p = 0.570038762635859

STEP 3: Convert Result to Output's Unit

0.570038762635859 Meter -->570.038762635859 Millimeter (Check conversion here)

FINAL ANSWER

570.038762635859 ≈ 570.0388 Millimeter <-- Back Engagement

(Calculation completed in 00.004 seconds)

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< 13 Grain Calculators

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

Go Number of Active Grains Per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain Aspect Ratio*sqrt(Diameter of Grinding Wheel))

Grain-aspect Ratio given Constant for Grinding Wheel

Go Grain Aspect Ratio = 6/(Number of Active Grains Per Area on Wheel Surface*Constant for Particular Grinding Wheel*sqrt(Diameter of Grinding Wheel))

Infeed given Constant for Grinding Wheel

Go Feed = (Maximum Undeformed Chip Thickness^2*Surface Speed of Wheel/(Constant for Particular Grinding Wheel*Surface Speed of Workpiece))^2

Material Removal Rate in Plunge-Grinder

Go Maximum Material Removal Rate = pi*Back Engagement*Machined Surface Diameter*Feed Speed in Plunge Grinding

Traverse Speed for Cylindrical and Internal Grinder given MRR

Go Traverse Speed in Cylindrical Grinding = Metal Removal Rate/(pi*Feed Rate*Diameter of Machined Surface)

Material Removal Rate in Cylindrical and Internal Grinder

Go Maximum Material Removal Rate = pi*Feed Per Stroke of Machine Table*Diameter of Work Surface*Traverse

Number of Active Grains per Unit Area on Wheel Surface

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

Width of Grinding Path given Metal Removal Rate

Go Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece)

Metal removal rate during Grinding

Go Metal Removal Rate = Infeed in Grinding Operation*Back Engagement*Surface Speed of Workpiece

Infeed given Metal Removal Rate during Grinding

Go Infeed Given on Workpiece = Metal Removal Rate/(Width of Cut*Surface Speed of Workpiece)

Material Removal Rate in Horizontal and Vertical Spindle Surface-Grinder

Go Material Removal Rate = Cross Feed Per Cutting Stroke*Back Engagement*Traverse

Traverse Speed in Horizontal and Vertical Spindle Surface-Grinder given MRR

Go Traverse Speed of Work Table = Metal Removal Rate/(Feed Rate*Depth of Cut)

Grain-aspect Ratio

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

Width of Grinding Path given Metal Removal Rate Formula

Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece)
a_p = Z_w/(f_i*V_w)

What is grinding used for?

Grinding is a machining process that's used to remove material from a workpiece via a grinding wheel. As the grinding wheel turns, it cuts material off the workpiece while creating a smooth surface texture in the process.

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

Width of Grinding Path given Metal Removal Rate calculator uses Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece) to calculate 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 calculate Width of Grinding Path given Metal Removal Rate using this online calculator? To use this online calculator 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. Here is how the Width of Grinding Path given Metal Removal Rate calculation can be explained with given input values -> 193951.1 = 0.00375/(0.001115*5.9).

FAQ

What is Width of Grinding Path given Metal Removal Rate?

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 and is represented as a_p = Z_w/(f_i*V_w) or Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece). Metal Removal Rate (MRR) is the amount of volume removed from workpiece per unit time, when performing machining operations such as grinding, 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 & Surface Speed of Workpiece refers to the linear velocity of a point on the workpiece's circumference relative to the grinding wheel.

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

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 is calculated using Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece). To calculate Width of Grinding Path given Metal Removal Rate, you need Metal Removal Rate (Z_w), Infeed in Grinding Operation (f_i) & Surface Speed of Workpiece (V_w). With our tool, you need to enter the respective value for Metal Removal Rate, Infeed in Grinding Operation & Surface Speed of Workpiece 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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