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

✖The Number of Chip Produced per Unit Time is defined as the number of chips produced per revolution/minute of grinding wheel.ⓘ Number of Chip Produced per Unit Time [N_c]			+10% -10%
✖Surface Speed of Grinding Wheel is defined as the speed of the surface of the wheel which is used for grinding.ⓘ Surface Speed of Grinding Wheel [u_t]			+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 per unit area.ⓘ Number of active grains per Area on wheel surface [C_g]			+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 chips produced per time [a_p]

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Formula

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Width of grinding path given Number of chips produced per time

Formula

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

Example

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

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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_t*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 the path of the grinding tool.
Number of Chip Produced per Unit Time - The Number of Chip Produced per Unit Time is defined as the number of chips produced per revolution/minute of grinding wheel.
Surface Speed of Grinding Wheel - (Measured in Meter per Second) - Surface Speed of Grinding Wheel is defined as the speed of the surface of the wheel which is used for grinding.
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 per unit area.

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_t*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)

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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

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 Width in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed in Grinding Machine))/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 Chip = (6*Average volume of each Chip)/(Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding)

Maximum Width of Chip given Average volume of each Chip

Go Maximum width of chip in Grinding = (6*Average volume of each Chip)/(Maximum Undeformed Chip Thickness in Grinding*Average Length of Chip)

Maximum undeformed chip thickness given average volume of each chip

Go Maximum Undeformed Chip Thickness in Grinding = 6*Average volume of each Chip/(Maximum width of chip in Grinding*Average Length of Chip)

Average Volume of each Chip

Go Average volume of each Chip = Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding*Average Length of Chip/6

Angle made by length of chip given Infeed

Go Angle made by the length of the chip = acos(1-(2*Infeed in Grinding Machine/Diameter of Grinding Tool Wheel))

Infeed for given Angle made by length of chip

Go Infeed in Grinding Machine = (1-cos(Angle made by the length of the chip))*Diameter of Grinding Tool Wheel/2

Angle made by length of chip

Go Angle made by the length of the chip = asin(2*Average Length of Chip/Diameter of Grinding Tool Wheel)

Average length of chip

Go Average Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2

Average length of chip given Infeed

Go Average Chip Length = sqrt(Infeed in Grinding Machine*Diameter of Grinding Tool Wheel)

Maximum Width of Chip given Max undeformed Chip thickness

Go Maximum width of chip in Grinding = Grain aspect ratio in Grinding*Maximum Undeformed Chip Thickness in Grinding

Maximum undeformed chip thickness

Go Maximum Undeformed Chip Thickness in Grinding = Maximum width of chip in Grinding/Grain aspect ratio in Grinding

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 in Grinding Machine = (Average Chip Length^2)/Diameter of Grinding Tool Wheel

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_t*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, The Width of grinding path given Number of chips produced per time 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 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_t) & 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 -> 9E+6 = 500/(3.975*275).

FAQ

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

The Width of grinding path given Number of chips produced per time is defined as the width of the path of the grinding tool and is represented as a_p = N_c/(u_t*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). The Number of Chip Produced per Unit Time is defined as the number of chips produced per revolution/minute of grinding wheel, Surface Speed of Grinding Wheel is defined as the speed of the surface of the wheel which is used for grinding & Number of active grains per Area on wheel surface is defined as the number of grains present on the surface of grinding wheel per unit area.

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

The Width of grinding path given Number of chips produced per time is defined as the width of the path of the grinding tool 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_t) & 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.

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