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Workpiece removal parameter given feed and machine infeed speed Formula

GoWorkpiece removal parameter given metal removal rate Formula

GoWorkpiece removal parameter given Grinding ratio Formula

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Workpiece removal parameter refers to the rate of removal of material from workpiece with thrust force induced between workpiece and wheel. Check FAQs

Λ w = Λ t \cdot \frac{d w}{(\frac{V i}{V f} - 1) \cdot d t}

Λ_w - Workpiece Removal Parameter?Λ_t - Wheel Removal Parameter?d_w - Diameter of Workpiece?V_i - Machine Infeed Speed?V_f - Feed Speed?d_t - Diameter of Grinding Tool Wheel?

Workpiece removal parameter given feed and machine infeed speed Example

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Here is how the Workpiece removal parameter given feed and machine infeed speed equation looks like with Values.

Here is how the Workpiece removal parameter given feed and machine infeed speed equation looks like with Units.

Here is how the Workpiece removal parameter given feed and machine infeed speed equation looks like.

10.0001 = 2.4 \cdot \frac{227.4}{(\frac{225.828}{203.6043} - 1) \cdot 500}

10.0001 = 2.4 \cdot \frac{227.4mm}{(\frac{225.828mm/s}{203.6043mm/s} - 1) \cdot 500mm}

10.0001 = 2.4 \cdot \frac{227.4}{(\frac{225.828}{203.6043} - 1) \cdot 500}

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Workpiece removal parameter given feed and machine infeed speed Solution

Follow our step by step solution on how to calculate Workpiece removal parameter given feed and machine infeed speed?

FIRST Step Consider the formula

Λ w = Λ t \cdot \frac{d w}{(\frac{V i}{V f} - 1) \cdot d t}

Next Step Substitute values of Variables

∴

Λ w = 2.4 \cdot \frac{227.4mm}{(\frac{225.828mm/s}{203.6043mm/s} - 1) \cdot 500mm}

Next Step Convert Units

∴

Λ w = 2.4 \cdot \frac{0.2274m}{(\frac{0.2258m/s}{0.2036m/s} - 1) \cdot 0.5m}

Next Step Prepare to Evaluate

∴

Λ w = 2.4 \cdot \frac{0.2274}{(\frac{0.2258}{0.2036} - 1) \cdot 0.5}

Next Step Evaluate

∴

Λ w = 10.0000524456324

LAST Step Rounding Answer

∴

Λ w = 10.0001

Workpiece removal parameter given feed and machine infeed speed Formula Elements

Variables

Workpiece Removal Parameter

Workpiece removal parameter refers to the rate of removal of material from workpiece with thrust force induced between workpiece and wheel.

Symbol: Λ_w

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Workpiece Removal Parameter

Wheel Removal Parameter

The wheel removal parameter refers to the rate of removal of abrasive grains from grinding wheel with thrust force induced between workpiece and wheel.

Symbol: Λ_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wheel Removal Parameter

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

Machine Infeed Speed

Machine Infeed speed refers to the controlled movement of the grinding wheel with respect to time towards the workpiece to achieve a desired depth of cut or removal of material.

Symbol: V_i

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Machine Infeed Speed

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

Diameter of Grinding Tool Wheel

The Diameter of Grinding Tool Wheel is the distance across the widest part of grinding wheel, measured straight through the center of grinding wheel.

Symbol: d_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Grinding Tool Wheel

Other Formulas to find Workpiece Removal Parameter

Go Workpiece removal parameter given metal removal rate

Λ w = \frac{Z g}{F t - F t0}

Go Workpiece removal parameter given Grinding ratio

Λ w = G r \cdot Λ 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 Wheel removal rate given Wheel removal parameter

Z t = Λ t \cdot (F t - F t0)

How to Evaluate Workpiece removal parameter given feed and machine infeed speed?

Workpiece removal parameter given feed and machine infeed speed evaluator uses Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/((Machine Infeed Speed/Feed Speed-1)*Diameter of Grinding Tool Wheel) to evaluate the Workpiece Removal Parameter, Workpiece removal parameter given feed and machine infeed speed is a value established by Hahn and Lindsay in grinding analysis. It's determined experimentally and depends on factors like the workpiece material. This parameter essentially elucidates the relationship between the rate at which material is removed from the workpiece and the thrust force applied between the workpiece and the grinding wheel. It's a crucial aspect of understanding and optimizing the grinding process for efficiency and quality. Workpiece Removal Parameter is denoted by Λ_w symbol.

How to evaluate Workpiece removal parameter given feed and machine infeed speed using this online evaluator? To use this online evaluator for Workpiece removal parameter given feed and machine infeed speed, enter Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_w), Machine Infeed Speed (V_i), Feed Speed (V_f) & Diameter of Grinding Tool Wheel (d_t) and hit the calculate button.

FAQs on Workpiece removal parameter given feed and machine infeed speed

What is the formula to find Workpiece removal parameter given feed and machine infeed speed?

The formula of Workpiece removal parameter given feed and machine infeed speed is expressed as Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/((Machine Infeed Speed/Feed Speed-1)*Diameter of Grinding Tool Wheel). Here is an example- 10.00005 = 2.4*0.2274/((0.225828/0.2036043-1)*0.5).

How to calculate Workpiece removal parameter given feed and machine infeed speed?

With Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_w), Machine Infeed Speed (V_i), Feed Speed (V_f) & Diameter of Grinding Tool Wheel (d_t) we can find Workpiece removal parameter given feed and machine infeed speed using the formula - Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/((Machine Infeed Speed/Feed Speed-1)*Diameter of Grinding Tool Wheel).

What are the other ways to Calculate Workpiece Removal Parameter?

Here are the different ways to Calculate Workpiece Removal Parameter-

Workpiece Removal Parameter=Material Removal Rate During Grinding/(Thrust Force-Threshold Thrust Force)
Workpiece Removal Parameter=Grinding Ratio*Wheel Removal Parameter

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: Value
: Unit

Workpiece removal parameter given feed and machine infeed speed Formula

​GoWorkpiece removal parameter given metal removal rate Formula

​GoWorkpiece removal parameter given Grinding ratio Formula

Workpiece removal parameter given feed and machine infeed speed Example

Workpiece removal parameter given feed and machine infeed speed Solution

Workpiece removal parameter given feed and machine infeed speed Formula Elements

Other Formulas to find Workpiece Removal Parameter

Other formulas in Removal Parameters category

How to Evaluate Workpiece removal parameter given feed and machine infeed speed?

FAQs on Workpiece removal parameter given feed and machine infeed speed

Variable Name

GoWorkpiece removal parameter given metal removal rate Formula

GoWorkpiece removal parameter given Grinding ratio Formula