Width of Grinding path given Metal removal rate Calculator

✖Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.ⓘ Metal removal rate [Z_w]			+10% -10%
✖The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f_in]			+10% -10%
✖Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.ⓘ Surface Speed of Workpiece [v_w]			+10% -10%

✖Width of grinding path is defined as the width of the path of the grinding tool.ⓘ 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"_{"in"}*"v"_{"w"})`

Example

`"1.8E^6mm"="0.16m³/s"/("0.9mm"*"100mm/s")`

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Width of Grinding path given Metal removal rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Grinding Path = Metal removal rate/(Feed*Surface Speed of Workpiece)
a_p = Z_w/(f_in*v_w)
This formula uses 4 Variables

Variables Used

Width of Grinding Path - (Measured in Meter) - Width of grinding path is defined as the width of the path of the grinding tool.
Metal removal rate - (Measured in Cubic Meter per Second) - Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.
Feed - (Measured in Meter) - The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.
Surface Speed of Workpiece - (Measured in Meter per Second) - Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.

STEP 1: Convert Input(s) to Base Unit

Metal removal rate: 0.16 Cubic Meter per Second --> 0.16 Cubic Meter per Second No Conversion Required
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Surface Speed of Workpiece: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_p = Z_w/(f_in*v_w) --> 0.16/(0.0009*0.1)

Evaluating ... ...

a_p = 1777.77777777778

STEP 3: Convert Result to Output's Unit

1777.77777777778 Meter -->1777777.77777778 Millimeter (Check conversion here)

FINAL ANSWER

1777777.77777778 ≈ 1.8E+6 Millimeter <-- Width of Grinding Path

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

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

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 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 Tool 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 Tool 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

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*Width of Grinding Path)

Material Removal Rate in Cylindrical and Internal Grinder

Go Material Removal Rate in Drilling = pi*Feed Rate*Work Surface Diameter*Traverse Speed

Material Removal Rate in Plunge-Grinder

Go Material Removal Rate in Drilling = pi*Feed Rate*Work Surface Diameter*Feed Speed

Traverse Speed for Cylindrical and Internal Grinder given MRR

Go Traverse Speed = pi*Feed Rate*Work Surface Diameter/Metal removal rate

Infeed given Metal removal rate during Grinding

Go Infeed = Metal removal rate/(Width of Grinding Path*Surface Speed of Workpiece)

Width of Grinding path given Metal removal rate

Go Width of Grinding Path = Metal removal rate/(Feed*Surface Speed of Workpiece)

Metal removal rate during Grinding

Go Metal removal rate = Feed*Width of Grinding Path*Surface Speed of Workpiece

Material Removal Rate in Horizontal and Vertical Spindle Surface-Grinder

Go Material Removal Rate in Drilling = Feed Rate*Depth of Cut*Traverse Speed

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

Go Traverse Speed = Feed Rate*Depth of Cut/Metal removal rate

Grain-aspect Ratio

Go Grain aspect ratio = Maximum width of chip/Maximum Undeformed Chip Thickness

Width of Grinding path given Metal removal rate Formula

Width of Grinding Path = Metal removal rate/(Feed*Surface Speed of Workpiece)
a_p = Z_w/(f_in*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 Width of Grinding Path = Metal removal rate/(Feed*Surface Speed of Workpiece) to calculate the Width of Grinding Path, The Width of Grinding path given Metal removal rate is defined as the width of the path of the grinding tool. Width of Grinding Path 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), Feed (f_in) & 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 -> 1.8E+9 = 0.16/(0.0009*0.1).

FAQ

What is Width of Grinding path given Metal removal rate?

The Width of Grinding path given Metal removal rate is defined as the width of the path of the grinding tool and is represented as a_p = Z_w/(f_in*v_w) or Width of Grinding Path = Metal removal rate/(Feed*Surface Speed of Workpiece). Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine, The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle & Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool.

How to calculate Width of Grinding path given Metal removal rate?

The Width of Grinding path given Metal removal rate is defined as the width of the path of the grinding tool is calculated using Width of Grinding Path = Metal removal rate/(Feed*Surface Speed of Workpiece). To calculate Width of Grinding path given Metal removal rate, you need Metal removal rate (Z_w), Feed (f_in) & Surface Speed of Workpiece (v_w). With our tool, you need to enter the respective value for Metal removal rate, Feed & 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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