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Feed speed given Metal removal rate Formula

GoFeed speed given workpiece and wheel removal parameter Formula

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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. Check FAQs

V f = \frac{Z w}{π \cdot d w \cdot a p}

V_f - Feed Speed?Z_w - Metal Removal Rate in Grinding?d_w - Diameter of Workpiece?a_p - Width of Grinding Path?π - Archimedes' constant?

Feed speed given Metal removal rate Example

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Here is how the Feed speed given Metal removal rate equation looks like with Values.

Here is how the Feed speed given Metal removal rate equation looks like with Units.

Here is how the Feed speed given Metal removal rate equation looks like.

203.6043 = \frac{0.16}{3.1416 \cdot 227.4 \cdot 1100}

203.6043mm/s = \frac{0.16m³/s}{3.1416 \cdot 227.4mm \cdot 1100mm}

203.6043 = \frac{0.16}{3.1416 \cdot 227.4 \cdot 1100}

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Feed speed given Metal removal rate Solution

Follow our step by step solution on how to calculate Feed speed given Metal removal rate?

FIRST Step Consider the formula

V f = \frac{Z w}{π \cdot d w \cdot a p}

Next Step Substitute values of Variables

∴

V f = \frac{0.16m³/s}{π \cdot 227.4mm \cdot 1100mm}

Next Step Substitute values of Constants

∴

V f = \frac{0.16m³/s}{3.1416 \cdot 227.4mm \cdot 1100mm}

Next Step Convert Units

∴

V f = \frac{0.16m³/s}{3.1416 \cdot 0.2274m \cdot 1.1m}

Next Step Prepare to Evaluate

∴

V f = \frac{0.16}{3.1416 \cdot 0.2274 \cdot 1.1}

Next Step Evaluate

∴

V f = 0.203604308744729m/s

Next Step Convert to Output's Unit

∴

V f = 203.604308744729mm/s

LAST Step Rounding Answer

∴

V f = 203.6043mm/s

Feed speed given Metal removal rate Formula Elements

Variables

Constants

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: V_f

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Feed Speed

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: Z_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Metal Removal Rate in Grinding

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: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Workpiece

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: a_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Grinding Path

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 to find Feed Speed

Go Feed speed given workpiece and wheel removal parameter

V f = \frac{V i}{1 + \frac{Λ t \cdot d w}{Λ w \cdot d t}}

Other formulas in Removal Parameters category

Go Metal removal rate given workpiece removal parameter

Z g = (F t - F t0) \cdot Λ w

Go Thrust force given workpiece removal parameter

F t = \frac{Z g}{Λ w} + F t0

Go Threshold thrust force given workpiece removal parameter

F t0 = F t - \frac{Z g}{Λ w}

Go Workpiece removal parameter given metal removal rate

Λ w = \frac{Z g}{F t - F t0}

How to Evaluate Feed speed given Metal removal rate?

Feed speed given Metal removal rate evaluator uses Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path) to evaluate 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 evaluate Feed speed given Metal removal rate using this online evaluator? To use this online evaluator 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.

FAQs on Feed speed given Metal removal rate

What is the formula to find Feed speed given Metal removal rate?

The formula of Feed speed given Metal removal rate is expressed as Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path). Here is an example- 203604.3 = 0.16/(pi*0.2274*1.1).

How to calculate Feed speed given Metal removal rate?

With Metal Removal Rate in Grinding (Z_w), Diameter of Workpiece (d_w) & Width of Grinding Path (a_p) we can find Feed speed given Metal removal rate using the formula - Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path). This formula also uses Archimedes' constant .

What are the other ways to Calculate Feed Speed?

Here are the different ways to Calculate Feed Speed-

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

Can the Feed speed given Metal removal rate be negative?

No, the Feed speed given Metal removal rate, measured in Speed cannot be negative.

Which unit is used to measure Feed speed given Metal removal rate?

Feed speed given Metal removal rate is usually measured using the Millimeter per Second[mm/s] for Speed. Meter per Second[mm/s], Meter per Minute[mm/s], Meter per Hour[mm/s] are the few other units in which Feed speed given Metal removal rate can be measured.

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Feed speed given Metal removal rate Formula

​GoFeed speed given workpiece and wheel removal parameter Formula

Feed speed given Metal removal rate Example

Feed speed given Metal removal rate Solution

Feed speed given Metal removal rate Formula Elements

Other Formulas to find Feed Speed

Other formulas in Removal Parameters category

How to Evaluate Feed speed given Metal removal rate?

FAQs on Feed speed given Metal removal rate

Variable Name

GoFeed speed given workpiece and wheel removal parameter Formula