Infeed for given Angle made by length of chip Calculator

✖Angle made by the length of the chip is the angle between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel.ⓘ Angle Made by The Length of The Chip [θ]			+10% -10%
✖The Diameter of Grinding Wheel Tool is the distance across the widest part of grinding wheel's circumference, measured straight through the center of grinding wheel.ⓘ Diameter of Grinding Wheel Tool [d_t]			+10% -10%

✖Infeed provided by grinding wheel refers to the controlled movement of the grinding wheel towards the workpiece to achieve a desired depth of cut or removal of material.ⓘ Infeed for given Angle made by length of chip [f_in]

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Formula

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Infeed for given Angle made by length of chip

Formula

`"f"_{"in"} = (1-cos("θ"))*"d"_{"t"}/2`

Example

`"2.098092mm"=(1-cos("11.883°"))*"195.81mm"/2`

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Infeed for given Angle made by length of chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Infeed Provided by Grinding Wheel = (1-cos(Angle Made by The Length of The Chip))*Diameter of Grinding Wheel Tool/2
f_in = (1-cos(θ))*d_t/2
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Infeed Provided by Grinding Wheel - (Measured in Meter) - Infeed provided by grinding wheel refers to the controlled movement of the grinding wheel towards the workpiece to achieve a desired depth of cut or removal of material.
Angle Made by The Length of The Chip - (Measured in Radian) - Angle made by the length of the chip is the angle between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel.
Diameter of Grinding Wheel Tool - (Measured in Meter) - The Diameter of Grinding Wheel Tool is the distance across the widest part of grinding wheel's circumference, measured straight through the center of grinding wheel.

STEP 1: Convert Input(s) to Base Unit

Angle Made by The Length of The Chip: 11.883 Degree --> 0.207397475014447 Radian (Check conversion here)
Diameter of Grinding Wheel Tool: 195.81 Millimeter --> 0.19581 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_in = (1-cos(θ))*d_t/2 --> (1-cos(0.207397475014447))*0.19581/2

Evaluating ... ...

f_in = 0.00209809200556243

STEP 3: Convert Result to Output's Unit

0.00209809200556243 Meter -->2.09809200556243 Millimeter (Check conversion here)

FINAL ANSWER

2.09809200556243 ≈ 2.098092 Millimeter <-- Infeed Provided by Grinding Wheel

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Material Removed » Grinding Chip » Infeed for given Angle made by length of chip

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

Infeed for given Angle made by length of chip Formula

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

What is the basic principle of grinding process?

The basic principle of grinding involves using a rotating abrasive wheel to remove material from a workpiece in tiny chips. Each abrasive grain on the wheel acts like a miniature cutting tool, fracturing the workpiece material and creating chips as the wheel spins. This process allows for shaping and finishing the workpiece to achieve the desired dimensions and surface quality.

How to Calculate Infeed for given Angle made by length of chip?

Infeed for given Angle made by length of chip calculator uses Infeed Provided by Grinding Wheel = (1-cos(Angle Made by The Length of The Chip))*Diameter of Grinding Wheel Tool/2 to calculate the Infeed Provided by Grinding Wheel, Infeed for given Angle made by length of chip formula determines the required movement of grinding wheel towards the workpiece to provide depth of cut for achieving desired MRR from workpiece, where the angle between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel is known. Infeed Provided by Grinding Wheel is denoted by f_in symbol.

How to calculate Infeed for given Angle made by length of chip using this online calculator? To use this online calculator for Infeed for given Angle made by length of chip, enter Angle Made by The Length of The Chip (θ) & Diameter of Grinding Wheel Tool (d_t) and hit the calculate button. Here is how the Infeed for given Angle made by length of chip calculation can be explained with given input values -> 2098.092 = (1-cos(0.207397475014447))*0.19581/2.

FAQ

What is Infeed for given Angle made by length of chip?

Infeed for given Angle made by length of chip formula determines the required movement of grinding wheel towards the workpiece to provide depth of cut for achieving desired MRR from workpiece, where the angle between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel is known and is represented as f_in = (1-cos(θ))*d_t/2 or Infeed Provided by Grinding Wheel = (1-cos(Angle Made by The Length of The Chip))*Diameter of Grinding Wheel Tool/2. Angle made by the length of the chip is the angle between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel & The Diameter of Grinding Wheel Tool is the distance across the widest part of grinding wheel's circumference, measured straight through the center of grinding wheel.

How to calculate Infeed for given Angle made by length of chip?

Infeed for given Angle made by length of chip formula determines the required movement of grinding wheel towards the workpiece to provide depth of cut for achieving desired MRR from workpiece, where the angle between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel is known is calculated using Infeed Provided by Grinding Wheel = (1-cos(Angle Made by The Length of The Chip))*Diameter of Grinding Wheel Tool/2. To calculate Infeed for given Angle made by length of chip, you need Angle Made by The Length of The Chip (θ) & Diameter of Grinding Wheel Tool (d_t). With our tool, you need to enter the respective value for Angle Made by The Length of The Chip & Diameter of Grinding Wheel Tool 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 Infeed Provided by Grinding Wheel?

In this formula, Infeed Provided by Grinding Wheel uses Angle Made by The Length of The Chip & Diameter of Grinding Wheel Tool. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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