Constant for grinding wheel given maximum undeformed chip thickness Calculator

✖Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining.ⓘ Maximum Undeformed Chip Thickness [a_cmax]			+10% -10%
✖Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.ⓘ Surface Speed of Wheel [v_t]			+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%
✖The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f_in]			+10% -10%

✖Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.ⓘ Constant for grinding wheel given maximum undeformed chip thickness [K]

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Formula

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Constant for grinding wheel given maximum undeformed chip thickness

Formula

`"K" = ("a"_{"cmax"}^2)*"v"_{"t"}/("v"_{"w"}*sqrt("f"_{"in"}))`

Example

`"5.8E^-5"=(("6mm")^2)*"4.8mm/s"/("100mm/s"*sqrt("0.9mm"))`

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Constant for grinding wheel given maximum undeformed chip thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant for particular grinding wheel = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Surface Speed of Workpiece*sqrt(Feed))
K = (a_cmax^2)*v_t/(v_w*sqrt(f_in))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Constant for particular grinding wheel - Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.
Maximum Undeformed Chip Thickness - (Measured in Meter) - Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining.
Surface Speed of Wheel - (Measured in Meter per Second) - Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.
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.
Feed - (Measured in Meter) - The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.

STEP 1: Convert Input(s) to Base Unit

Maximum Undeformed Chip Thickness: 6 Millimeter --> 0.006 Meter (Check conversion here)
Surface Speed of Wheel: 4.8 Millimeter per Second --> 0.0048 Meter per Second (Check conversion here)
Surface Speed of Workpiece: 100 Millimeter per Second --> 0.1 Meter per Second (Check conversion here)
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (a_cmax^2)*v_t/(v_w*sqrt(f_in)) --> (0.006^2)*0.0048/(0.1*sqrt(0.0009))

Evaluating ... ...

K = 5.76E-05

STEP 3: Convert Result to Output's Unit

5.76E-05 --> No Conversion Required

FINAL ANSWER

5.76E-05 ≈ 5.8E-5 <-- Constant for particular grinding wheel

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Srinagar

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< 19 Wheel Calculators

Diameter of wheel given feed and machine infeed speed

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

Constant for grinding wheel given maximum undeformed chip thickness

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

Surface speed of Wheel given constant for grinding wheel

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

Constant for grinding wheel

Go Constant for particular grinding wheel = 6/(Number of active grains per Area on wheel surface*Grain aspect ratio*sqrt(Diameter of Grinding Tool Wheel))

Wheel diameter given equivalent wheel diameter

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

Diameter of wheel given Constant for grinding wheel

Go Diameter of Grinding Tool Wheel = (6/(Number of active grains per Area on wheel surface*Grain aspect ratio*Constant for particular grinding wheel))^2

Surface speed of wheel given number of chip produce per time

Go Surface Speed of Wheel = Number of Chip Produced per Unit Time/(Width of Grinding Path*Number of active grains per Area on wheel surface)

Equivalent wheel diameter

Go Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece))

Diameter of wheel for given Average Length of chip

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

Diameter of wheel for given infeed

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

Threshold thrust force given wheel removal parameter

Go Threshold Thrust Force = Thrust Force-(Wheel Removal Rate/Wheel Removal Parameter)

Thrust force given wheel removal parameter

Go Thrust Force = (Wheel Removal Rate/Wheel Removal Parameter)+Threshold Thrust Force

Wheel structure Number given Percentage Volume of Bond material in wheel

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

Wheel hardness Number given Percentage Volume of Bond material in wheel

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

Machine infeed speed given Feed speed in Grinding

Go Machine Infeed speed = Feed Speed+(Diameter of Grinding Tool Wheel/2)

Diameter of wheel given Feed speed in Grinding

Go Diameter of Grinding Tool Wheel = 2*(Machine Infeed speed-Feed Speed)

Feed speed in Grinding

Go Feed Speed = Machine Infeed speed-(Diameter of Grinding Tool Wheel/2)

Diameter of wheel given Average length of chip and Infeed

Go Diameter of Grinding Tool Wheel = (Length of Chip)^2/Feed

Grain Diameter of grinding wheel

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

Constant for grinding wheel given maximum undeformed chip thickness Formula

Constant for particular grinding wheel = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Surface Speed of Workpiece*sqrt(Feed))
K = (a_cmax^2)*v_t/(v_w*sqrt(f_in))

How often should you dress a grinding wheel?

Dull dressing tools glaze the wheel face to produce a dull wheel. To maintain a well-defined and sharp diamond point, rotate the single-point or cone-point tool 1/8 turn at regular intervals. The frequency of these rotations will depend on how often you dress, but a minimum of once per day is a good rule of thumb.

How to Calculate Constant for grinding wheel given maximum undeformed chip thickness?

Constant for grinding wheel given maximum undeformed chip thickness calculator uses Constant for particular grinding wheel = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Surface Speed of Workpiece*sqrt(Feed)) to calculate the Constant for particular grinding wheel, The Constant for grinding wheel given maximum undeformed chip thickness formula is the constant for different materials of the grinding wheel used in the grinding operation. Constant for particular grinding wheel is denoted by K symbol.

How to calculate Constant for grinding wheel given maximum undeformed chip thickness using this online calculator? To use this online calculator for Constant for grinding wheel given maximum undeformed chip thickness, enter Maximum Undeformed Chip Thickness (a_cmax), Surface Speed of Wheel (v_t), Surface Speed of Workpiece (v_w) & Feed (f_in) and hit the calculate button. Here is how the Constant for grinding wheel given maximum undeformed chip thickness calculation can be explained with given input values -> 5.8E-5 = (0.006^2)*0.0048/(0.1*sqrt(0.0009)).

FAQ

What is Constant for grinding wheel given maximum undeformed chip thickness?

The Constant for grinding wheel given maximum undeformed chip thickness formula is the constant for different materials of the grinding wheel used in the grinding operation and is represented as K = (a_cmax^2)*v_t/(v_w*sqrt(f_in)) or Constant for particular grinding wheel = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Surface Speed of Workpiece*sqrt(Feed)). Maximum Undeformed Chip Thickness is the maximum thickness of an undeformed chip before machining, Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding, Surface Speed of Workpiece is the speed of the surface rotating with respect to grinding tool & The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.

How to calculate Constant for grinding wheel given maximum undeformed chip thickness?

The Constant for grinding wheel given maximum undeformed chip thickness formula is the constant for different materials of the grinding wheel used in the grinding operation is calculated using Constant for particular grinding wheel = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Surface Speed of Workpiece*sqrt(Feed)). To calculate Constant for grinding wheel given maximum undeformed chip thickness, you need Maximum Undeformed Chip Thickness (a_cmax), Surface Speed of Wheel (v_t), Surface Speed of Workpiece (v_w) & Feed (f_in). With our tool, you need to enter the respective value for Maximum Undeformed Chip Thickness, Surface Speed of Wheel, Surface Speed of Workpiece & Feed 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 Constant for particular grinding wheel?

In this formula, Constant for particular grinding wheel uses Maximum Undeformed Chip Thickness, Surface Speed of Wheel, Surface Speed of Workpiece & Feed. We can use 1 other way(s) to calculate the same, which is/are as follows -

Constant for particular grinding wheel = 6/(Number of active grains per Area on wheel surface*Grain aspect ratio*sqrt(Diameter of Grinding Tool Wheel))

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