Width of Grinding path given number of workpiece revolutions Calculator

✖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%
✖Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.ⓘ Workpiece removal parameter [Λ_W]			+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%
✖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 given number of workpiece revolutions [a_p]

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Formula

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Width of Grinding path given number of workpiece revolutions

Formula

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

Example

`"3.3E^6mm"="5"*"10"*"13N/m"/(2*"100mm/s")`

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Width of Grinding path given number of workpiece revolutions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Grinding Path = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Surface Speed of Workpiece)
a_p = m*Λ_W*S_e/(2*v_w)
This formula uses 5 Variables

Variables Used

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.
Workpiece removal parameter - Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Number of Workpiece revolution: 5 --> No Conversion Required
Workpiece removal parameter: 10 --> No Conversion Required
Effective stiffness: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required
Surface Speed of Workpiece: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_p = m*Λ_W*S_e/(2*v_w) --> 5*10*13/(2*0.1)

Evaluating ... ...

a_p = 3250

STEP 3: Convert Result to Output's Unit

3250 Meter -->3250000 Millimeter (Check conversion here)

FINAL ANSWER

3250000 ≈ 3.3E+6 Millimeter <-- Width of Grinding Path

(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Srinagar

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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

Width of Grinding path given number of workpiece revolutions Formula

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

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 the cut, more than once and generally multiple times.

How to Calculate Width of Grinding path given number of workpiece revolutions?

Width of Grinding path given number of workpiece revolutions calculator uses Width of Grinding Path = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Surface Speed of Workpiece) to calculate the Width of Grinding Path, The Width of Grinding path given number of workpiece revolutions is defined as the width of the path of the grinding tool. Width of Grinding Path is denoted by a_p symbol.

How to calculate Width of Grinding path given number of workpiece revolutions using this online calculator? To use this online calculator for Width of Grinding path given number of workpiece revolutions, enter Number of Workpiece revolution (m), Workpiece removal parameter (Λ_W), Effective stiffness (S_e) & Surface Speed of Workpiece (v_w) and hit the calculate button. Here is how the Width of Grinding path given number of workpiece revolutions calculation can be explained with given input values -> 3.3E+9 = 5*10*13/(2*0.1).

FAQ

What is Width of Grinding path given number of workpiece revolutions?

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

How to calculate Width of Grinding path given number of workpiece revolutions?

The Width of Grinding path given number of workpiece revolutions is defined as the width of the path of the grinding tool is calculated using Width of Grinding Path = Number of Workpiece revolution*Workpiece removal parameter*Effective stiffness/(2*Surface Speed of Workpiece). To calculate Width of Grinding path given number of workpiece revolutions, you need Number of Workpiece revolution (m), Workpiece removal parameter (Λ_W), Effective stiffness (S_e) & Surface Speed of Workpiece (v_w). With our tool, you need to enter the respective value for Number of Workpiece revolution, Workpiece removal parameter, Effective stiffness & Surface Speed of Workpiece 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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