Material Removal Rate in Plunge-Grinder Calculator

✖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.ⓘ Back Engagement [a_p]			+10% -10%
✖Machined Surface Diameter refers to the final diameter of a feature created by machining operation, specifically focusing on the measurement across the machined area.ⓘ Machined Surface Diameter [d_m]			+10% -10%
✖Feed Speed in Plunge Grinding is the speed at which a tool moves in the X and Y directions, while plunge rate is the speed at which the tool moves in the Z direction.ⓘ Feed Speed in Plunge Grinding [v_f]			+10% -10%

✖Maximum Material Removal Rate (MRR) is the maximum volume of material can be removed per unit time from workpiece during machining operations.ⓘ Material Removal Rate in Plunge-Grinder [Z_gMax]

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Material Removal Rate in Plunge-Grinder

Formula

`"Z"_{"gMax"} = pi*"a"_{"p"}*"d"_{"m"}*"v"_{"f"}`

Example

`"14.82518m³/s"=pi*"570mm"*"350mm"*"23.65414m/s"`

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Material Removal Rate in Plunge-Grinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Material Removal Rate = pi*Back Engagement*Machined Surface Diameter*Feed Speed in Plunge Grinding
Z_gMax = pi*a_p*d_m*v_f
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Material Removal Rate - (Measured in Cubic Meter per Second) - Maximum Material Removal Rate (MRR) is the maximum volume of material can be removed per unit time from workpiece during machining operations.
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.
Machined Surface Diameter - (Measured in Meter) - Machined Surface Diameter refers to the final diameter of a feature created by machining operation, specifically focusing on the measurement across the machined area.
Feed Speed in Plunge Grinding - (Measured in Meter per Second) - Feed Speed in Plunge Grinding is the speed at which a tool moves in the X and Y directions, while plunge rate is the speed at which the tool moves in the Z direction.

STEP 1: Convert Input(s) to Base Unit

Back Engagement: 570 Millimeter --> 0.57 Meter (Check conversion here)
Machined Surface Diameter: 350 Millimeter --> 0.35 Meter (Check conversion here)
Feed Speed in Plunge Grinding: 23.65414 Meter per Second --> 23.65414 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_gMax = pi*a_p*d_m*v_f --> pi*0.57*0.35*23.65414

Evaluating ... ...

Z_gMax = 14.8251786539714

STEP 3: Convert Result to Output's Unit

14.8251786539714 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

14.8251786539714 ≈ 14.82518 Cubic Meter per Second <-- Maximum Material Removal Rate

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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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

Material Removal Rate in Plunge-Grinder Formula

Maximum Material Removal Rate = pi*Back Engagement*Machined Surface Diameter*Feed Speed in Plunge Grinding
Z_gMax = pi*a_p*d_m*v_f

Plunge Grinding

Plunge Grinding Operation is similar to Cylindrical Grinding Operation except the major difference is that the grinding wheel makes continuous contact with a single point of the object instead of traversing the object.

How to Calculate Material Removal Rate in Plunge-Grinder?

Material Removal Rate in Plunge-Grinder calculator uses Maximum Material Removal Rate = pi*Back Engagement*Machined Surface Diameter*Feed Speed in Plunge Grinding to calculate the Maximum Material Removal Rate, The Material Removal Rate in Plunge-Grinder formula can be defined as the maximum volume of material removed from workpiece per unit time when machined in Plunge Grinding Conditions. This parameter represents the optimal balance between removing material quickly and maintaining good grinding practices. Maximum Material Removal Rate is denoted by Z_gMax symbol.

How to calculate Material Removal Rate in Plunge-Grinder using this online calculator? To use this online calculator for Material Removal Rate in Plunge-Grinder, enter Back Engagement (a_p), Machined Surface Diameter (d_m) & Feed Speed in Plunge Grinding (v_f) and hit the calculate button. Here is how the Material Removal Rate in Plunge-Grinder calculation can be explained with given input values -> 14.70265 = pi*0.57*0.35*23.65414.

FAQ

What is Material Removal Rate in Plunge-Grinder?

The Material Removal Rate in Plunge-Grinder formula can be defined as the maximum volume of material removed from workpiece per unit time when machined in Plunge Grinding Conditions. This parameter represents the optimal balance between removing material quickly and maintaining good grinding practices and is represented as Z_gMax = pi*a_p*d_m*v_f or Maximum Material Removal Rate = pi*Back Engagement*Machined Surface Diameter*Feed Speed in Plunge Grinding. 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, Machined Surface Diameter refers to the final diameter of a feature created by machining operation, specifically focusing on the measurement across the machined area & Feed Speed in Plunge Grinding is the speed at which a tool moves in the X and Y directions, while plunge rate is the speed at which the tool moves in the Z direction.

How to calculate Material Removal Rate in Plunge-Grinder?

The Material Removal Rate in Plunge-Grinder formula can be defined as the maximum volume of material removed from workpiece per unit time when machined in Plunge Grinding Conditions. This parameter represents the optimal balance between removing material quickly and maintaining good grinding practices is calculated using Maximum Material Removal Rate = pi*Back Engagement*Machined Surface Diameter*Feed Speed in Plunge Grinding. To calculate Material Removal Rate in Plunge-Grinder, you need Back Engagement (a_p), Machined Surface Diameter (d_m) & Feed Speed in Plunge Grinding (v_f). With our tool, you need to enter the respective value for Back Engagement, Machined Surface Diameter & Feed Speed in Plunge Grinding and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Material Removal Rate?

In this formula, Maximum Material Removal Rate uses Back Engagement, Machined Surface Diameter & Feed Speed in Plunge Grinding. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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