Workpiece removal parameter given number of workpiece revolution Calculator

✖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 [a_p]			+10% -10%
✖The Number of Workpiece revolution is defined as the number of revolutions did workpiece take to complete the grinding.ⓘ Number of Workpiece revolution [m]			+10% -10%
✖Effective stiffness is the total extent to which a workpiece resists deformation in response to an applied force.ⓘ Effective stiffness [S_e]			+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 number of workpiece revolution [Λ_W]

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Formula

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Workpiece removal parameter given number of workpiece revolution

Formula

`"Λ"_{"W"} = 2*"v"_{"w"}*"a"_{"p"}/("m"*"S"_{"e"})`

Example

`"0.003385"=2*"100mm/s"*"1100mm"/("5"*"13N/m")`

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Workpiece removal parameter given number of workpiece revolution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Workpiece removal parameter = 2*Surface Speed of Workpiece*Width of Grinding Path/(Number of Workpiece revolution*Effective stiffness)
Λ_W = 2*v_w*a_p/(m*S_e)
This formula uses 5 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.
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.
Width of Grinding Path - (Measured in Meter) - Width of grinding path is defined as the width of the path of the grinding tool.
Number of Workpiece revolution - The Number of Workpiece revolution is defined as the number of revolutions did workpiece take to complete the grinding.
Effective stiffness - (Measured in Newton per Meter) - Effective stiffness is the total extent to which a workpiece resists deformation in response to an applied force.

STEP 1: Convert Input(s) to Base Unit

Surface Speed of Workpiece: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)
Width of Grinding Path: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Number of Workpiece revolution: 5 --> No Conversion Required
Effective stiffness: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Λ_W = 2*v_w*a_p/(m*S_e) --> 2*0.1*1.1/(5*13)

Evaluating ... ...

Λ_W = 0.00338461538461539

STEP 3: Convert Result to Output's Unit

0.00338461538461539 --> No Conversion Required

FINAL ANSWER

0.00338461538461539 ≈ 0.003385 <-- Workpiece removal parameter

(Calculation completed in 00.020 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

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< 14 Workpiece Calculators

Diameter of workpiece given feed and machine infeed speed

Go Diameter of Workpiece = Workpiece removal parameter*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/Wheel Removal Parameter

Surface speed of workpiece given constant for grinding wheel

Go Surface Speed of Workpiece = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Constant for particular grinding wheel*sqrt(Feed))

Workpiece diameter given equivalent wheel diameter

Go Diameter of Workpiece = Equivalent Wheel Diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Wheel Diameter)

Workpiece removal parameter given number of workpiece revolution

Go Workpiece removal parameter = 2*Surface Speed of Workpiece*Width of Grinding Path/(Number of Workpiece revolution*Effective stiffness)

Workpiece surface speed given number of workpiece revolutions

Go Surface Speed of Workpiece = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Width of Grinding Path)

Width of Grinding path given number of workpiece revolutions

Go Width of Grinding Path = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Surface Speed of Workpiece)

System stiffness given Number of workpiece revolution

Go Effective stiffness = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Number of Workpiece revolution)

Number of workpiece revolution

Go Number of Workpiece revolution = 2*Surface Speed of Workpiece*Width of Grinding Path/(Workpiece removal parameter*Effective stiffness)

Diameter of workpiece given Metal removal rate

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

Surface Speed of workpiece given Metal removal rate during grinding

Go Surface Speed of Workpiece = Material Removal Rate/(Feed*Width of Grinding Path)

Percentage Volume of Bond material in wheel of grinding

Go Percentage Volume of Bond Material in Grinding = (1.33*Wheel hardness number)+(2.2*Wheel structure number)-8

Number of workpiece revolutions given Time taken for spark out operation

Go Number of Workpiece revolution = Time taken for spark-out operation*Rotational Frequency

Rotational frequency of workpiece given Number of workpiece revolution

Go Rotational Frequency = Number of Workpiece revolution/Time taken for spark-out operation

Proportion of Total Energy flowing into workpiece

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

Workpiece removal parameter given number of workpiece revolution Formula

Workpiece removal parameter = 2*Surface Speed of Workpiece*Width of Grinding Path/(Number of Workpiece revolution*Effective stiffness)
Λ_W = 2*v_w*a_p/(m*S_e)

What is spark out in grinding?

Spark out is a term used when precision values are sought and literally means "until the sparks are out (no more)". It involves passing the workpiece under the wheel, without resetting the depth of cut, more than once and generally multiple times.

How to Calculate Workpiece removal parameter given number of workpiece revolution?

Workpiece removal parameter given number of workpiece revolution calculator uses Workpiece removal parameter = 2*Surface Speed of Workpiece*Width of Grinding Path/(Number of Workpiece revolution*Effective stiffness) to calculate the Workpiece removal parameter, The Workpiece removal parameter given number of workpiece revolution is the ratio of the volume of workpieces removed per unit time per unit thrust force. Workpiece removal parameter is denoted by Λ_W symbol.

How to calculate Workpiece removal parameter given number of workpiece revolution using this online calculator? To use this online calculator for Workpiece removal parameter given number of workpiece revolution, enter Surface Speed of Workpiece (v_w), Width of Grinding Path (a_p), Number of Workpiece revolution (m) & Effective stiffness (S_e) and hit the calculate button. Here is how the Workpiece removal parameter given number of workpiece revolution calculation can be explained with given input values -> 0.003385 = 2*0.1*1.1/(5*13).

FAQ

What is Workpiece removal parameter given number of workpiece revolution?

The Workpiece removal parameter given number of workpiece revolution is the ratio of the volume of workpieces removed per unit time per unit thrust force and is represented as Λ_W = 2*v_w*a_p/(m*S_e) or Workpiece removal parameter = 2*Surface Speed of Workpiece*Width of Grinding Path/(Number of Workpiece revolution*Effective stiffness). Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool, Width of grinding path is defined as the width of the path of the grinding tool, The Number of Workpiece revolution is defined as the number of revolutions did workpiece take to complete the grinding & Effective stiffness is the total extent to which a workpiece resists deformation in response to an applied force.

How to calculate Workpiece removal parameter given number of workpiece revolution?

The Workpiece removal parameter given number of workpiece revolution is the ratio of the volume of workpieces removed per unit time per unit thrust force is calculated using Workpiece removal parameter = 2*Surface Speed of Workpiece*Width of Grinding Path/(Number of Workpiece revolution*Effective stiffness). To calculate Workpiece removal parameter given number of workpiece revolution, you need Surface Speed of Workpiece (v_w), Width of Grinding Path (a_p), Number of Workpiece revolution (m) & Effective stiffness (S_e). With our tool, you need to enter the respective value for Surface Speed of Workpiece, Width of Grinding Path, Number of Workpiece revolution & Effective stiffness 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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