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Width of cut given Metal removal rate Formula

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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. Check FAQs
ap=ZwVf⋅π⋅dw
ap - Width of Grinding Path?Zw - Metal Removal Rate in Grinding?Vf - Feed Speed?dw - Diameter of Workpiece?π - Archimedes' constant?

Width of cut given Metal removal rate Example

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With units
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Here is how the Width of cut given Metal removal rate equation looks like with Values.

Here is how the Width of cut given Metal removal rate equation looks like with Units.

Here is how the Width of cut given Metal removal rate equation looks like.

1100Edit=0.16Edit203.6043Edit⋅3.1416⋅227.4Edit
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Width of cut given Metal removal rate Solution

Follow our step by step solution on how to calculate Width of cut given Metal removal rate?

FIRST Step Consider the formula
ap=ZwVf⋅π⋅dw
Next Step Substitute values of Variables
∴ ap=0.16m³/s203.6043mm/s⋅π⋅227.4mm
Next Step Substitute values of Constants
∴ ap=0.16m³/s203.6043mm/s⋅3.1416⋅227.4mm
Next Step Convert Units
∴ ap=0.16m³/s0.2036m/s⋅3.1416⋅0.2274m
Next Step Prepare to Evaluate
∴ ap=0.160.2036⋅3.1416⋅0.2274
Next Step Evaluate
∴ap=1.10000004724459m
Next Step Convert to Output's Unit
∴ap=1100.00004724459mm
LAST Step Rounding Answer
∴ap=1100mm

Width of cut given Metal removal rate Formula Elements

Variables
Constants
Width of Grinding Path
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.
Symbol: ap
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Width of Grinding PathOpen Variable
Metal Removal Rate in Grinding
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.
Symbol: Zw
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Formulas to find Metal Removal Rate in GrindingOpen Variable
Feed Speed
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.
Symbol: Vf
Measurement: SpeedUnit: mm/s
Note: Value should be greater than 0.
Formulas to find Feed SpeedOpen Variable
Diameter of Workpiece
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.
Symbol: dw
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Diameter of WorkpieceOpen Variable
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other formulas in Removal Parameters category

​Go Metal removal rate given workpiece removal parameter
Zg=(Ft-Ft0)⋅Λw
​Go Thrust force given workpiece removal parameter
Ft=ZgΛw+Ft0
​Go Threshold thrust force given workpiece removal parameter
Ft0=Ft-ZgΛw
​Go Workpiece removal parameter given metal removal rate
Λw=ZgFt-Ft0

How to Evaluate Width of cut given Metal removal rate?

Width of cut given Metal removal rate evaluator uses Width of Grinding Path = Metal Removal Rate in Grinding/(Feed Speed*pi*Diameter of Workpiece) to evaluate the Width of Grinding Path, Width of cut given Metal removal rate refers to the axial dimension of the material removed by the grinding wheel during one pass. This parameter is crucial in grinding operations as it helps ensure consistent material removal and pressure application on the grinding wheel. By controlling the width of cut, operators can optimize grinding efficiency, achieve desired surface finishes, and prolong the life of both the grinding wheel and the workpiece. Width of Grinding Path is denoted by ap symbol.

How to evaluate Width of cut given Metal removal rate using this online evaluator? To use this online evaluator for Width of cut given Metal removal rate, enter Metal Removal Rate in Grinding (Zw), Feed Speed (Vf) & Diameter of Workpiece (dw) and hit the calculate button.

FAQs on Width of cut given Metal removal rate

What is the formula to find Width of cut given Metal removal rate?
The formula of Width of cut given Metal removal rate is expressed as Width of Grinding Path = Metal Removal Rate in Grinding/(Feed Speed*pi*Diameter of Workpiece). Here is an example- 760087 = 0.16/(0.2036043*pi*0.2274).
How to calculate Width of cut given Metal removal rate?
With Metal Removal Rate in Grinding (Zw), Feed Speed (Vf) & Diameter of Workpiece (dw) we can find Width of cut given Metal removal rate using the formula - Width of Grinding Path = Metal Removal Rate in Grinding/(Feed Speed*pi*Diameter of Workpiece). This formula also uses Archimedes' constant .
Can the Width of cut given Metal removal rate be negative?
No, the Width of cut given Metal removal rate, measured in Length cannot be negative.
Which unit is used to measure Width of cut given Metal removal rate?
Width of cut given Metal removal rate is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of cut given Metal removal rate can be measured.
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