Diameter of wheel for given Average Length of chip Calculator

✖Length of Chip is the distance along the direction of the cutting edge or grinding wheel motion that the chip produced during machining or grinding extends.ⓘ Length of Chip [l_c]			+10% -10%
✖Angle Made by the Length of Chip is the angle between the direction of the grinding wheel motion and the resulting chip produced by the grinding action.ⓘ Angle Made by the Length of Chip [θ]			+10% -10%

✖The Diameter of Grinding Tool Wheel is the size of grinding wheel and a critical parameter in grinding operations. It determines the wheel's cutting speed, material removal rate, and surface finish.ⓘ Diameter of wheel for given Average Length of chip [d_T]

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Formula

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Diameter of wheel for given Average Length of chip

Formula

`"d"_{"T"} = 2*"l"_{"c"}/sin("θ")`

Example

`"12.60118mm"=2*"3.4mm"/sin("0.57rad")`

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Diameter of wheel for given Average Length of chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

The Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle Made by the Length of Chip)
d_T = 2*l_c/sin(θ)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

The Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the size of grinding wheel and a critical parameter in grinding operations. It determines the wheel's cutting speed, material removal rate, and surface finish.
Length of Chip - (Measured in Meter) - Length of Chip is the distance along the direction of the cutting edge or grinding wheel motion that the chip produced during machining or grinding extends.
Angle Made by the Length of Chip - (Measured in Radian) - Angle Made by the Length of Chip is the angle between the direction of the grinding wheel motion and the resulting chip produced by the grinding action.

STEP 1: Convert Input(s) to Base Unit

Length of Chip: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Angle Made by the Length of Chip: 0.57 Radian --> 0.57 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_T = 2*l_c/sin(θ) --> 2*0.0034/sin(0.57)

Evaluating ... ...

d_T = 0.0126011789254428

STEP 3: Convert Result to Output's Unit

0.0126011789254428 Meter -->12.6011789254428 Millimeter (Check conversion here)

FINAL ANSWER

12.6011789254428 ≈ 12.60118 Millimeter <-- The Diameter of Grinding Tool Wheel

(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

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< 19 Wheel Calculators

Diameter of wheel given feed and machine infeed speed

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

Constant for grinding wheel given maximum undeformed chip thickness

Go Constant for Grinding Wheel = (Maximum Undeformed Chip Thickness before Machining^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 Grinding Wheel*Surface Speed of Workpiece*sqrt(Feed))/(Maximum Undeformed Chip Thickness before Machining^2)

Wheel diameter given equivalent wheel diameter

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

Constant for grinding wheel

Go Constant for Grinding Wheel = 6/(Number of Active Grains per Area*Grain Aspect Ratio*sqrt(The Diameter of Grinding Tool Wheel))

Surface speed of wheel given number of chip produce per time

Go Surface Speed of Wheel for Given No of Chips = Number of Chip Produced per Unit Time/(Width of Grinding Path*Number of Active Grains per Area)

Diameter of wheel given Constant for grinding wheel

Go The Diameter of Grinding Tool Wheel = (6/(Number of Active Grains per Area*Grain Aspect Ratio*Constant for Grinding Wheel))^2

Equivalent wheel diameter

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

Wheel structure Number given Percentage Volume of Bond material in wheel

Go Structure Number of Wheel = (Percentage Volume of Bond Material in Grinding+8-(1.33*Wheel Hardness Number of Grinding))/2.2

Wheel hardness Number given Percentage Volume of Bond material in wheel

Go Wheel Hardness Number of Grinding = (Percentage Volume of Bond Material in Grinding+8-(2.2*Structure Number of Wheel))/1.33

Diameter of wheel for given Average Length of chip

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

Diameter of wheel for given infeed

Go The Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle Made by the Length of 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

Machine infeed speed given Feed speed in Grinding

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

Diameter of wheel given Feed speed in Grinding

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

Feed speed in Grinding

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

Diameter of wheel given Average length of chip and Infeed

Go The 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)

Diameter of wheel for given Average Length of chip Formula

The Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle Made by the Length of Chip)
d_T = 2*l_c/sin(θ)

What is the process of grinding?

Grinding is an abrasive machining process that uses a grinding wheel or grinder as the cutting tool. Grinding is a subset of cutting, as grinding is a true metal-cutting process. Grinding is used to finish workpieces that must show high surface quality and high accuracy of shape and dimension.

How to Calculate Diameter of wheel for given Average Length of chip?

Diameter of wheel for given Average Length of chip calculator uses The Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle Made by the Length of Chip) to calculate the The Diameter of Grinding Tool Wheel, The diameter of wheel for given average length of chip is defined as to the size of wheel needed to produce ships of a specific length during the grinding process. The Diameter of Grinding Tool Wheel is denoted by d_T symbol.

How to calculate Diameter of wheel for given Average Length of chip using this online calculator? To use this online calculator for Diameter of wheel for given Average Length of chip, enter Length of Chip (l_c) & Angle Made by the Length of Chip (θ) and hit the calculate button. Here is how the Diameter of wheel for given Average Length of chip calculation can be explained with given input values -> 12601.18 = 2*0.0034/sin(0.57).

FAQ

What is Diameter of wheel for given Average Length of chip?

The diameter of wheel for given average length of chip is defined as to the size of wheel needed to produce ships of a specific length during the grinding process and is represented as d_T = 2*l_c/sin(θ) or The Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle Made by the Length of Chip). Length of Chip is the distance along the direction of the cutting edge or grinding wheel motion that the chip produced during machining or grinding extends & Angle Made by the Length of Chip is the angle between the direction of the grinding wheel motion and the resulting chip produced by the grinding action.

How to calculate Diameter of wheel for given Average Length of chip?

The diameter of wheel for given average length of chip is defined as to the size of wheel needed to produce ships of a specific length during the grinding process is calculated using The Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle Made by the Length of Chip). To calculate Diameter of wheel for given Average Length of chip, you need Length of Chip (l_c) & Angle Made by the Length of Chip (θ). With our tool, you need to enter the respective value for Length of Chip & Angle Made by the Length of Chip 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 The Diameter of Grinding Tool Wheel?

In this formula, The Diameter of Grinding Tool Wheel uses Length of Chip & Angle Made by the Length of Chip. We can use 6 other way(s) to calculate the same, which is/are as follows -

The Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle Made by the Length of Chip))
The Diameter of Grinding Tool Wheel = (Length of Chip)^2/Feed
The Diameter of Grinding Tool Wheel = 2*(Machine Infeed Speed Towards Workpiece-The Feed Speed)
The Diameter of Grinding Tool Wheel = (6/(Number of Active Grains per Area*Grain Aspect Ratio*Constant for Grinding Wheel))^2
The Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Workpiece Diameter/(((Machine Infeed Speed Towards Workpiece/The Feed Speed)-1)*Workpiece Removal Parameter)
The Diameter of Grinding Tool Wheel = Equivalent Wheel Diameter*Workpiece Diameter/(Workpiece Diameter-Equivalent Wheel Diameter)

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