Workpiece removal parameter given feed and machine infeed speed Calculator

✖The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.ⓘ Wheel Removal Parameter [Λ_t]			+10% -10%
✖The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.ⓘ Diameter of Workpiece [d_workpiece]			+10% -10%
✖Machine Infeed speed is the speed at which the wheel is moving towards the workpiece.ⓘ Machine Infeed speed [v_i]			+10% -10%
✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%
✖The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.ⓘ Diameter of Grinding Tool Wheel [d_t]			+10% -10%

✖Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.ⓘ Workpiece removal parameter given feed and machine infeed speed [Λ_W]

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Formula

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Workpiece removal parameter given feed and machine infeed speed

Formula

`"Λ"_{"W"} = "Λ"_{"t"}*"d"_{"workpiece"}/((("v"_{"i"}/"V"_{"f"})-1)*"d"_{"t"})`

Example

`"1.808136"="2.4"*"76.20mm"/((("33mm/s"/"3.5mm/s")-1)*"12mm")`

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Workpiece removal parameter given feed and machine infeed speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Workpiece removal parameter = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Diameter of Grinding Tool Wheel)
Λ_W = Λ_t*d_workpiece/(((v_i/V_f)-1)*d_t)
This formula uses 6 Variables

Variables Used

Workpiece removal parameter - Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.
Wheel Removal Parameter - The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
Machine Infeed speed - (Measured in Meter per Second) - Machine Infeed speed is the speed at which the wheel is moving towards the workpiece.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.

STEP 1: Convert Input(s) to Base Unit

Wheel Removal Parameter: 2.4 --> No Conversion Required
Diameter of Workpiece: 76.2 Millimeter --> 0.0762 Meter (Check conversion here)
Machine Infeed speed: 33 Millimeter per Second --> 0.033 Meter per Second (Check conversion here)
Feed Speed: 3.5 Millimeter per Second --> 0.0035 Meter per Second (Check conversion here)
Diameter of Grinding Tool Wheel: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Λ_W = Λ_t*d_workpiece/(((v_i/V_f)-1)*d_t) --> 2.4*0.0762/(((0.033/0.0035)-1)*0.012)

Evaluating ... ...

Λ_W = 1.80813559322034

STEP 3: Convert Result to Output's Unit

1.80813559322034 --> No Conversion Required

FINAL ANSWER

1.80813559322034 ≈ 1.808136 <-- Workpiece removal parameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Material Removed » Removal Parameters » Workpiece removal parameter given feed and machine infeed speed

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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/(Feed Speed*pi*Diameter of Workpiece)

Feed speed given Metal removal rate

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

Metal removal rate given Diameter of workpiece

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

Threshold thrust force given workpiece removal parameter

Go Threshold Thrust Force = Thrust Force-(Metal removal rate/Workpiece removal parameter)

Metal removal rate given workpiece removal parameter

Go Metal removal rate = (Thrust Force-Threshold Thrust Force)*Workpiece removal parameter

Workpiece removal parameter given metal removal rate

Go Workpiece removal parameter = Metal removal rate/(Thrust Force-Threshold Thrust Force)

Thrust force given workpiece removal parameter

Go Thrust Force = (Metal removal rate/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

Relative contact area of grains given Total Energy flowing into workpiece

Go Relative Contact Area of Grain = ((Proportion of total energy flowing into workpiece/100)-0.6)/0.05

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

Grain size given grain Diameter

Go Grain size (in mm) = 0.0254/Grain diameter of the grinding wheel

Workpiece removal parameter given feed and machine infeed speed Formula

Workpiece removal parameter = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Diameter of Grinding Tool Wheel)
Λ_W = Λ_t*d_workpiece/(((v_i/V_f)-1)*d_t)

What is the difference between cutting wheel and grinding wheel?

Cutting-off wheels are thin by design and do not have adequate lateral strength for side grinding. The fiberglass reinforcement is in the wheel to add strength. ... Regardless of what type of grinding wheel you are using, grinding must only be performed on the surface of the wheel for which it is designed.

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

Workpiece removal parameter given feed and machine infeed speed calculator uses Workpiece removal parameter = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Diameter of Grinding Tool Wheel) to calculate the Workpiece removal parameter, The Workpiece removal parameter given feed and machine infeed speed is the ratio of the volume of workpiece removed per unit time per unit thrust force. Workpiece removal parameter is denoted by Λ_W symbol.

How to calculate Workpiece removal parameter given feed and machine infeed speed using this online calculator? To use this online calculator for Workpiece removal parameter given feed and machine infeed speed, enter Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_workpiece), Machine Infeed speed (v_i), Feed Speed (V_f) & Diameter of Grinding Tool Wheel (d_t) and hit the calculate button. Here is how the Workpiece removal parameter given feed and machine infeed speed calculation can be explained with given input values -> 0.180814 = 2.4*0.0762/(((0.033/0.0035)-1)*0.012).

FAQ

What is Workpiece removal parameter given feed and machine infeed speed?

The Workpiece removal parameter given feed and machine infeed speed is the ratio of the volume of workpiece removed per unit time per unit thrust force and is represented as Λ_W = Λ_t*d_workpiece/(((v_i/V_f)-1)*d_t) or Workpiece removal parameter = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Diameter of Grinding Tool Wheel). The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force, The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding, Machine Infeed speed is the speed at which the wheel is moving towards the workpiece, Feed Speed is the Feed given against a workpiece per unit time & The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.

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

The Workpiece removal parameter given feed and machine infeed speed is the ratio of the volume of workpiece removed per unit time per unit thrust force is calculated using Workpiece removal parameter = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Diameter of Grinding Tool Wheel). To calculate Workpiece removal parameter given feed and machine infeed speed, you need Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_workpiece), Machine Infeed speed (v_i), Feed Speed (V_f) & Diameter of Grinding Tool Wheel (d_t). With our tool, you need to enter the respective value for Wheel Removal Parameter, Diameter of Workpiece, Machine Infeed speed, Feed Speed & Diameter of Grinding Tool Wheel 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 Workpiece removal parameter?

In this formula, Workpiece removal parameter uses Wheel Removal Parameter, Diameter of Workpiece, Machine Infeed speed, Feed Speed & Diameter of Grinding Tool Wheel. We can use 2 other way(s) to calculate the same, which is/are as follows -

Workpiece removal parameter = Metal removal rate/(Thrust Force-Threshold Thrust Force)
Workpiece removal parameter = Grinding Ratio*Wheel Removal Parameter

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