Feed speed given Metal removal rate Calculator

✖Metal removal rate in grinding (MRR) is the amount of volume removed from material in a specified time frame (usually per minute) when performing different machining operations.ⓘ Metal Removal Rate in Grinding [Z_w]			+10% -10%
✖The Diameter of Workpiece is 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 Workpiece [d_w]			+10% -10%
✖Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel.ⓘ Width of Grinding Path [a_p]			+10% -10%

✖Feed Speed is the distance a cutting tool travels during one spindle revolution. It determines the rate at which the cutting tool advances against the workpiece during the machining process.ⓘ Feed speed given Metal removal rate [V_f]

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Formula

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Feed speed given Metal removal rate

Formula

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

Example

`"203.6043mm/s"="0.16m³/s"/(pi*"227.4mm"*"1100mm")`

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Feed speed given Metal removal rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path)
V_f = Z_w/(pi*d_w*a_p)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Feed Speed - (Measured in Meter per Second) - Feed Speed is the distance a cutting tool travels during one spindle revolution. It determines the rate at which the cutting tool advances against the workpiece during the machining process.
Metal Removal Rate in Grinding - (Measured in Cubic Meter per Second) - Metal removal rate in grinding (MRR) is the amount of volume removed from material in a specified time frame (usually per minute) when performing different machining operations.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is 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.
Width of Grinding Path - (Measured in Meter) - Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel.

STEP 1: Convert Input(s) to Base Unit

Metal Removal Rate in Grinding: 0.16 Cubic Meter per Second --> 0.16 Cubic Meter per Second No Conversion Required
Diameter of Workpiece: 227.4 Millimeter --> 0.2274 Meter (Check conversion here)
Width of Grinding Path: 1100 Millimeter --> 1.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = Z_w/(pi*d_w*a_p) --> 0.16/(pi*0.2274*1.1)

Evaluating ... ...

V_f = 0.203604308744729

STEP 3: Convert Result to Output's Unit

0.203604308744729 Meter per Second -->203.604308744729 Millimeter per Second (Check conversion here)

FINAL ANSWER

203.604308744729 ≈ 203.6043 Millimeter per Second <-- Feed Speed

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Verified by Kumar Siddhant

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

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< 19 Removal Parameters Calculators

Machine infeed speed given workpiece and wheel removal parameter

Go Machine Infeed Speed = Feed Speed*(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel))

Workpiece removal parameter given feed and machine infeed speed

Go Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed Speed/Feed Speed)-1)*Diameter of Grinding Tool Wheel)

Feed speed given workpiece and wheel removal parameter

Go Feed Speed = Machine Infeed Speed/(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel))

Wheel removal parameter given feed and machine infeed speed

Go Wheel Removal Parameter = Workpiece Removal Parameter*Diameter of Grinding Tool Wheel*((Machine Infeed Speed/Feed Speed)-1)/Diameter of Workpiece

Width of cut given Metal removal rate

Go Width of Grinding Path = Metal Removal Rate in Grinding/(Feed Speed*pi*Diameter of Workpiece)

Feed speed given Metal removal rate

Go Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path)

Metal removal rate given Diameter of workpiece

Go Metal Removal Rate in Grinding = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed

Threshold thrust force given workpiece removal parameter

Go Threshold Thrust Force = Thrust Force-(Material Removal Rate During Grinding/Workpiece Removal Parameter)

Metal removal rate given workpiece removal parameter

Go Material Removal Rate During Grinding = (Thrust Force-Threshold Thrust Force)*Workpiece Removal Parameter

Workpiece removal parameter given metal removal rate

Go Workpiece Removal Parameter = Material Removal Rate During Grinding/(Thrust Force-Threshold Thrust Force)

Thrust force given workpiece removal parameter

Go Thrust Force = (Material Removal Rate During Grinding/Workpiece Removal Parameter)+Threshold Thrust Force

Wheel removal rate given Wheel removal parameter

Go Wheel Removal Rate = Wheel Removal Parameter*(Thrust Force-Threshold Thrust Force)

Wheel removal parameter given wheel removal rate

Go Wheel Removal Parameter = Wheel Removal Rate/(Thrust Force-Threshold Thrust Force)

Time taken for spark-out operation

Go Time Taken for Spark-Out Operation = Number of Workpiece Revolution/Rotational Frequency of Workpiece

Workpiece removal parameter given Grinding ratio

Go Workpiece Removal Parameter = Grinding Ratio*Wheel Removal Parameter

Wheel removal parameter given Grinding ratio

Go Wheel Removal Parameter = Workpiece Removal Parameter/Grinding Ratio

Grinding ratio

Go Grinding Ratio = Workpiece Removal Parameter/Wheel Removal Parameter

Relative contact area of grains given Total Energy flowing into workpiece

Go Relative Contact Area = ((Percentage of Total Energy Flowing into Workpiece/100)-0.6)/0.05

Grain size given grain Diameter

Go Grain Size = 0.0254/Grain Diameter

Feed speed given Metal removal rate Formula

Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path)
V_f = Z_w/(pi*d_w*a_p)

How can we reduce feed speed in grinding operation?

There are several ways to reduce feed speed. Some of them are- 1. Adjusting Table Speed: Most grinding machines have a variable table speed control. Lowering this setting directly reduces the rate at which the workpiece traverses across the grinding wheel, effectively reducing the feed speed. 2. Downfeed Adjustments: Some machines allow independent control of downfeed, which is the depth the grinding wheel moves into the workpiece with each pass. Reducing the downfeed value removes less material per pass, essentially lowering the feed rate for finer work.

How to Calculate Feed speed given Metal removal rate?

Feed speed given Metal removal rate calculator uses Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path) to calculate the Feed Speed, Feed speed given Metal removal rate calculates the rate at which the grinding wheel or abrasive tool advances against the workpiece, that is being ground When we know the MRR is constant during the operation. It's essentially the speed at which the material is removed from the workpiece surface by the abrasive action of the grinding wheel. Feed speed plays a crucial role in overall efficiency in grinding. Feed Speed is denoted by V_f symbol.

How to calculate Feed speed given Metal removal rate using this online calculator? To use this online calculator for Feed speed given Metal removal rate, enter Metal Removal Rate in Grinding (Z_w), Diameter of Workpiece (d_w) & Width of Grinding Path (a_p) and hit the calculate button. Here is how the Feed speed given Metal removal rate calculation can be explained with given input values -> 203604.3 = 0.16/(pi*0.2274*1.1).

FAQ

What is Feed speed given Metal removal rate?

Feed speed given Metal removal rate calculates the rate at which the grinding wheel or abrasive tool advances against the workpiece, that is being ground When we know the MRR is constant during the operation. It's essentially the speed at which the material is removed from the workpiece surface by the abrasive action of the grinding wheel. Feed speed plays a crucial role in overall efficiency in grinding and is represented as V_f = Z_w/(pi*d_w*a_p) or Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path). Metal removal rate in grinding (MRR) is the amount of volume removed from material in a specified time frame (usually per minute) when performing different machining operations, The Diameter of Workpiece is 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 & Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel.

How to calculate Feed speed given Metal removal rate?

Feed speed given Metal removal rate calculates the rate at which the grinding wheel or abrasive tool advances against the workpiece, that is being ground When we know the MRR is constant during the operation. It's essentially the speed at which the material is removed from the workpiece surface by the abrasive action of the grinding wheel. Feed speed plays a crucial role in overall efficiency in grinding is calculated using Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path). To calculate Feed speed given Metal removal rate, you need Metal Removal Rate in Grinding (Z_w), Diameter of Workpiece (d_w) & Width of Grinding Path (a_p). With our tool, you need to enter the respective value for Metal Removal Rate in Grinding, Diameter of Workpiece & Width of Grinding Path 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 Feed Speed?

In this formula, Feed Speed uses Metal Removal Rate in Grinding, Diameter of Workpiece & Width of Grinding Path. We can use 1 other way(s) to calculate the same, which is/are as follows -

Feed Speed = Machine Infeed Speed/(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel))

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