Angle made by length of chip given Infeed Calculator

✖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%
✖The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.ⓘ Diameter of Grinding Tool Wheel [d_t]			+10% -10%

✖Angle made by the length of the chip is the angle made by the arc of length of the chip from the midpoint.ⓘ Angle made by length of chip given Infeed [θ]

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Formula

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Angle made by length of chip given Infeed

Formula

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

Example

`"0.173422rad"=acos(1-(2*"0.9mm"/"120mm"))`

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Angle made by length of chip given Infeed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle made by the length of the chip = acos(1-(2*Feed/Diameter of Grinding Tool Wheel))
θ = acos(1-(2*f_in/d_t))
This formula uses 2 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

Angle made by the length of the chip - (Measured in Radian) - Angle made by the length of the chip is the angle made by the arc of length of the chip from the midpoint.
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.
Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.

STEP 1: Convert Input(s) to Base Unit

Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Diameter of Grinding Tool Wheel: 120 Millimeter --> 0.12 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = acos(1-(2*f_in/d_t)) --> acos(1-(2*0.0009/0.12))

Evaluating ... ...

θ = 0.173422321095605

STEP 3: Convert Result to Output's Unit

0.173422321095605 Radian --> No Conversion Required

FINAL ANSWER

0.173422321095605 ≈ 0.173422 Radian <-- Angle made by the length of the chip

(Calculation completed in 00.020 seconds)

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

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 = sqrt(Constant for particular grinding wheel*Surface Speed of Workpiece*(sqrt(Feed))/Surface Speed of 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 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 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 Length of 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*Length of Chip)

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*Length of Chip)

Average Volume of each Chip

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

Angle made by length of chip

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

Average length of chip

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

Angle made by length of chip given Infeed

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

Infeed for given Angle made by length of chip

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

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

Average Volume of each chip given metal removal rate in grinding

Go Average volume of each Chip = 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

Average length of chip given Infeed

Go Length of Chip = sqrt(Feed*Diameter of Grinding Tool Wheel)

Maximum Width of Chip given Max undeformed Chip thickness

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

Maximum undeformed chip thickness

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

Infeed given Diameter of wheel and average length of chip

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

Angle made by length of chip given Infeed Formula

Angle made by the length of the chip = acos(1-(2*Feed/Diameter of Grinding Tool Wheel))
θ = acos(1-(2*f_in/d_t))

What is the process of grinding?

Grinding is a machining process that's used to remove material from a workpiece via a grinding wheel. As the grinding wheel turns, it cuts material off the workpiece while creating a smooth surface texture in the process.

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

Angle made by length of chip given Infeed calculator uses Angle made by the length of the chip = acos(1-(2*Feed/Diameter of Grinding Tool Wheel)) to calculate the Angle made by the length of the chip, Angle made by length of chip given Infeed formula is defined as the angle made by the arc of the length of the chip from the midpoint. Angle made by the length of the chip is denoted by θ symbol.

How to calculate Angle made by length of chip given Infeed using this online calculator? To use this online calculator for Angle made by length of chip given Infeed, enter Feed (f_in) & Diameter of Grinding Tool Wheel (d_t) and hit the calculate button. Here is how the Angle made by length of chip given Infeed calculation can be explained with given input values -> 0.173422 = acos(1-(2*0.0009/0.12)).

FAQ

What is Angle made by length of chip given Infeed?

Angle made by length of chip given Infeed formula is defined as the angle made by the arc of the length of the chip from the midpoint and is represented as θ = acos(1-(2*f_in/d_t)) or Angle made by the length of the chip = acos(1-(2*Feed/Diameter of Grinding Tool Wheel)). The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle & The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.

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

Angle made by length of chip given Infeed formula is defined as the angle made by the arc of the length of the chip from the midpoint is calculated using Angle made by the length of the chip = acos(1-(2*Feed/Diameter of Grinding Tool Wheel)). To calculate Angle made by length of chip given Infeed, you need Feed (f_in) & Diameter of Grinding Tool Wheel (d_t). With our tool, you need to enter the respective value for Feed & Diameter of Grinding Tool Wheel 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 Angle made by the length of the chip?

In this formula, Angle made by the length of the chip uses Feed & Diameter of Grinding Tool Wheel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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