Width of grinding path given Number of chips produced per time Calculator

✖Number of Chip Produced per Unit Time is the numbers of scrap/chip produced in a specified time frame while grinding operation. It signifies the effectiveness of the grinding wheel.ⓘ Number of Chip Produced Per Unit Time [N_C]			+10% -10%
✖Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.ⓘ Surface Speed of Grinding Wheel [u_g]			+10% -10%
✖Number of active grains per area on wheel surface is defined as the number of grains present on the surface of grinding wheel that is actively in contact with the workpiece surface.ⓘ Number of Active Grains Per Area on Wheel Surface [c_g]			+10% -10%

✖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.ⓘ Width of grinding path given Number of chips produced per time [a_P]

⎘ Copy

👎

Formula

✖

Width of grinding path given Number of chips produced per time

Formula

`"a"_{"P"} = "N"_{"C"}/("u"_{"g"}*"c"_{"g"})`

Example

`"457.4042mm"="500"/("3975mm/s"*"275")`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

Width of grinding path given Number of chips produced per time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface)
a_P = N_C/(u_g*c_g)
This formula uses 4 Variables

Variables Used

Width of Grinding Path - (Measured in Meter) - 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.
Number of Chip Produced Per Unit Time - Number of Chip Produced per Unit Time is the numbers of scrap/chip produced in a specified time frame while grinding operation. It signifies the effectiveness of the grinding wheel.
Surface Speed of Grinding Wheel - (Measured in Meter per Second) - Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.
Number of Active Grains Per Area on Wheel Surface - Number of active grains per area on wheel surface is defined as the number of grains present on the surface of grinding wheel that is actively in contact with the workpiece surface.

STEP 1: Convert Input(s) to Base Unit

Number of Chip Produced Per Unit Time: 500 --> No Conversion Required
Surface Speed of Grinding Wheel: 3975 Millimeter per Second --> 3.975 Meter per Second (Check conversion here)
Number of Active Grains Per Area on Wheel Surface: 275 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_P = N_C/(u_g*c_g) --> 500/(3.975*275)

Evaluating ... ...

a_P = 0.457404230989137

STEP 3: Convert Result to Output's Unit

0.457404230989137 Meter -->457.404230989137 Millimeter (Check conversion here)

FINAL ANSWER

457.404230989137 ≈ 457.4042 Millimeter <-- Width of Grinding Path

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Material Removed » Grinding Chip » Width of grinding path given Number of chips produced per time

Credits

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

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 18 Grinding Chip Calculators

Maximum undeformed chip thickness given constant for grinding wheel

Go Maximum Undeformed Chip Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/Surface Speed of Grinding Wheel)

Width of grinding path given Number of chips produced per time

Go Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface)

Number of chip produced per unit time in Grinding

Go Number of Chip Produced Per Unit Time = Surface Speed of Grinding Wheel*Width of Grinding Path*Number of Active Grains Per Area on Wheel Surface

Average length of Chip given Average volume of each Chip

Go Average Length of a Chip = (6*Average Volume of Each Chip)/(Maximum Width of Chip*Maximum Undeformed Chip Thickness)

Maximum Width of Chip given Average volume of each Chip

Go Maximum Width of Chip = (6*Average Volume of Each Chip)/(Maximum Undeformed Chip Thickness*Average Length of a Chip)

Angle made by length of chip given Infeed

Go Angle Made by The Length of The Chip = acos(1-(2*Infeed Provided by Grinding Wheel)/Diameter of Grinding Wheel Tool)

Infeed for given Angle made by length of chip

Go Infeed Provided by Grinding Wheel = (1-cos(Angle Made by The Length of The Chip))*Diameter of Grinding Wheel Tool/2

Maximum undeformed chip thickness given average volume of each chip

Go Maximum Undeformed Chip Thickness = 6*Average Volume of Each Chip/(Maximum Width of Chip*Average Length of a Chip)

Average Volume of each Chip

Go Average Volume of Each Chip = Maximum Width of Chip*Maximum Undeformed Chip Thickness*Average Length of a Chip/6

Angle made by length of chip

Go Angle Made by The Length of The Chip = asin(2*Average Length of a Chip/Diameter of Grinding Wheel Tool)

Average length of chip

Go Average Length of a Chip = Diameter of Grinding Wheel Tool*sin(Angle Made by The Length of The Chip)/2

Average length of chip given Infeed

Go Average Chip Length = sqrt(Infeed Provided by Grinding Wheel*Diameter of Grinding Wheel Tool)

Metal removal rate given number of chip produced and volume of each chip

Go Material Removal Rate = Number of Chip Produced Per Unit Time*Average Volume of Each Chip in Grinding

Average Volume of each chip given metal removal rate in grinding

Go Average Volume of Each Chip in Grinding = Material Removal Rate/Number of Chip Produced Per Unit Time

Number of chip produce per time given metal removal rate

Go Number of Chip Produced Per Unit Time = Material Removal Rate/Average Volume of Each Chip in Grinding

Infeed given Diameter of wheel and average length of chip

Go Infeed Provided by Grinding Wheel = (Average Chip Length^2)/Diameter of Grinding Wheel Tool

Maximum Width of Chip given Max undeformed Chip thickness

Go Maximum Width of Chip = Grain Aspect Ratio in Grinding*Maximum Undeformed Chip Thickness

Maximum undeformed chip thickness

Go Maximum Undeformed Chip Thickness = Maximum Width of Chip/Grain Aspect Ratio in Grinding

Width of grinding path given Number of chips produced per time Formula

Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface)
a_P = N_C/(u_g*c_g)

What is grinding wheel specification?

Diamond/CBN grinding wheels (super abrasive wheels) can be applied to various specifications by combining "abrasive grain (abrasive grain type)", "grain size (abrasive grain size)", "bond strength", "degree of concentration (grain concentration in bond)", and "bond type (bonding material)".

How to Calculate Width of grinding path given Number of chips produced per time?

Width of grinding path given Number of chips produced per time calculator uses Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface) to calculate the Width of Grinding Path, Width of grinding path given Number of chips produced per time refers to the axial dimension of the material removed by the grinding wheel during one pass. This parameter is crucial in grinding operations as it helps ensure consistent material removal and pressure application on the grinding wheel. By controlling the width of cut, operators can optimize grinding efficiency, achieve desired surface finishes, and prolong the life of both the grinding wheel and the workpiece. Width of Grinding Path is denoted by a_P symbol.

How to calculate Width of grinding path given Number of chips produced per time using this online calculator? To use this online calculator for Width of grinding path given Number of chips produced per time, enter Number of Chip Produced Per Unit Time (N_C), Surface Speed of Grinding Wheel (u_g) & Number of Active Grains Per Area on Wheel Surface (c_g) and hit the calculate button. Here is how the Width of grinding path given Number of chips produced per time calculation can be explained with given input values -> 1.8E+6 = 500/(3.975*275).

FAQ

What is Width of grinding path given Number of chips produced per time?

Width of grinding path given Number of chips produced per time refers to the axial dimension of the material removed by the grinding wheel during one pass. This parameter is crucial in grinding operations as it helps ensure consistent material removal and pressure application on the grinding wheel. By controlling the width of cut, operators can optimize grinding efficiency, achieve desired surface finishes, and prolong the life of both the grinding wheel and the workpiece and is represented as a_P = N_C/(u_g*c_g) or Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface). Number of Chip Produced per Unit Time is the numbers of scrap/chip produced in a specified time frame while grinding operation. It signifies the effectiveness of the grinding wheel, Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation & Number of active grains per area on wheel surface is defined as the number of grains present on the surface of grinding wheel that is actively in contact with the workpiece surface.

How to calculate Width of grinding path given Number of chips produced per time?

Width of grinding path given Number of chips produced per time refers to the axial dimension of the material removed by the grinding wheel during one pass. This parameter is crucial in grinding operations as it helps ensure consistent material removal and pressure application on the grinding wheel. By controlling the width of cut, operators can optimize grinding efficiency, achieve desired surface finishes, and prolong the life of both the grinding wheel and the workpiece is calculated using Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface). To calculate Width of grinding path given Number of chips produced per time, you need Number of Chip Produced Per Unit Time (N_C), Surface Speed of Grinding Wheel (u_g) & Number of Active Grains Per Area on Wheel Surface (c_g). With our tool, you need to enter the respective value for Number of Chip Produced Per Unit Time, Surface Speed of Grinding Wheel & Number of Active Grains Per Area on Wheel Surface and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search