Material Removal Rate in Cylindrical and Internal Grinder Calculator

✖Feed Per Stroke of Machine Table refers to the incremental distance the table moves across grinding wheel, during a single grinding cycle.ⓘ Feed Per Stroke of Machine Table [f_t]			+10% -10%
✖Diameter of Work Surface refers to the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing.ⓘ Diameter of Work Surface [d_w]			+10% -10%
✖Traverse refers to the reciprocating back-and-forth motion of the worktable that holds the workpiece. This motion is crucial for achieving a desired shape and finish during the grinding process.ⓘ Traverse [T]			+10% -10%

✖Maximum Material Removal Rate is the maximum volume of material can be removed per unit time from workpiece during machining operations.ⓘ Material Removal Rate in Cylindrical and Internal Grinder [Z_gMax]

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Formula

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Material Removal Rate in Cylindrical and Internal Grinder

Formula

`"Z"_{"gMax"} = pi*"f"_{"t"}*"d"_{"w"}*"T"`

Example

`"14.82518m³/s"=pi*"3m/rev"*"121mm"*"13m/s"`

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Material Removal Rate in Cylindrical and Internal Grinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Material Removal Rate = pi*Feed Per Stroke of Machine Table*Diameter of Work Surface*Traverse
Z_gMax = pi*f_t*d_w*T
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 is the maximum volume of material can be removed per unit time from workpiece during machining operations.
Feed Per Stroke of Machine Table - (Measured in Meter Per Revolution) - Feed Per Stroke of Machine Table refers to the incremental distance the table moves across grinding wheel, during a single grinding cycle.
Diameter of Work Surface - (Measured in Meter) - Diameter of Work Surface refers to the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing.
Traverse - (Measured in Meter per Second) - Traverse refers to the reciprocating back-and-forth motion of the worktable that holds the workpiece. This motion is crucial for achieving a desired shape and finish during the grinding process.

STEP 1: Convert Input(s) to Base Unit

Feed Per Stroke of Machine Table: 3 Meter Per Revolution --> 3 Meter Per Revolution No Conversion Required
Diameter of Work Surface: 121 Millimeter --> 0.121 Meter (Check conversion here)
Traverse: 13 Meter per Second --> 13 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_gMax = pi*f_t*d_w*T --> pi*3*0.121*13

Evaluating ... ...

Z_gMax = 14.8251757322902

STEP 3: Convert Result to Output's Unit

14.8251757322902 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

14.8251757322902 ≈ 14.82518 Cubic Meter per Second <-- Maximum Material Removal Rate

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

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 Cylindrical and Internal Grinder Formula

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

Cylindrical and Internal Grinding

In Cylindrical Grinding, both the cylindrical workpiece and the wheel are rotated and the outer periphery of the workpiece is machined.
In Internal Grinding, the workpiece is fixed and the inner surface of the workpiece is machined with the rotating axle wheel.

How to Calculate Material Removal Rate in Cylindrical and Internal Grinder?

Material Removal Rate in Cylindrical and Internal Grinder calculator uses Maximum Material Removal Rate = pi*Feed Per Stroke of Machine Table*Diameter of Work Surface*Traverse to calculate the Maximum Material Removal Rate, Material Removal Rate in Cylindrical and Internal Grinder calculates maximum volume removal of material per unit time from the workpiece using traverse cylindrical grinding. This parameter determines 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 Cylindrical and Internal Grinder using this online calculator? To use this online calculator for Material Removal Rate in Cylindrical and Internal Grinder, enter Feed Per Stroke of Machine Table (f_t), Diameter of Work Surface (d_w) & Traverse (T) and hit the calculate button. Here is how the Material Removal Rate in Cylindrical and Internal Grinder calculation can be explained with given input values -> 14.82518 = pi*3*0.121*13.

FAQ

What is Material Removal Rate in Cylindrical and Internal Grinder?

Material Removal Rate in Cylindrical and Internal Grinder calculates maximum volume removal of material per unit time from the workpiece using traverse cylindrical grinding. This parameter determines optimal balance between removing material quickly and maintaining good grinding practices and is represented as Z_gMax = pi*f_t*d_w*T or Maximum Material Removal Rate = pi*Feed Per Stroke of Machine Table*Diameter of Work Surface*Traverse. Feed Per Stroke of Machine Table refers to the incremental distance the table moves across grinding wheel, during a single grinding cycle, Diameter of Work Surface refers to the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing & Traverse refers to the reciprocating back-and-forth motion of the worktable that holds the workpiece. This motion is crucial for achieving a desired shape and finish during the grinding process.

How to calculate Material Removal Rate in Cylindrical and Internal Grinder?

Material Removal Rate in Cylindrical and Internal Grinder calculates maximum volume removal of material per unit time from the workpiece using traverse cylindrical grinding. This parameter determines optimal balance between removing material quickly and maintaining good grinding practices is calculated using Maximum Material Removal Rate = pi*Feed Per Stroke of Machine Table*Diameter of Work Surface*Traverse. To calculate Material Removal Rate in Cylindrical and Internal Grinder, you need Feed Per Stroke of Machine Table (f_t), Diameter of Work Surface (d_w) & Traverse (T). With our tool, you need to enter the respective value for Feed Per Stroke of Machine Table, Diameter of Work Surface & Traverse 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 Feed Per Stroke of Machine Table, Diameter of Work Surface & Traverse. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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