Angle made by length of chip Calculator

✖Average Length of Chip is the undeformed chip length during grinding operation.ⓘ Average Length of Chip [l_c]			+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 [θ]

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Formula

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Angle made by length of chip

Formula

`"θ" = asin(2*"l"_{"c"}/"d"_{"t"})`

Example

`"11.883°"=asin(2*"20.16mm"/"195.81mm")`

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Angle made by length of chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle made by the length of the chip = asin(2*Average Length of Chip/Diameter of Grinding Tool Wheel)
θ = asin(2*l_c/d_t)
This formula uses 2 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(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.
Average Length of Chip - (Measured in Meter) - Average Length of Chip is the undeformed chip length during grinding operation.
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

Average Length of Chip: 20.16 Millimeter --> 0.02016 Meter (Check conversion here)
Diameter of Grinding Tool Wheel: 195.81 Millimeter --> 0.19581 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = asin(2*l_c/d_t) --> asin(2*0.02016/0.19581)

Evaluating ... ...

θ = 0.20739752535303

STEP 3: Convert Result to Output's Unit

0.20739752535303 Radian -->11.8830028841883 Degree (Check conversion here)

FINAL ANSWER

11.8830028841883 ≈ 11.883 Degree <-- 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

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 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

Angle made by length of chip Formula

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

What are the specifications of grinding wheel?

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 Angle made by length of chip?

Angle made by length of chip calculator uses Angle made by the length of the chip = asin(2*Average Length of Chip/Diameter of Grinding Tool Wheel) to calculate the Angle made by the length of the chip, The Angle made by length of chip formula is angle made by arc of length of chip from midpoint. Angle made by the length of the chip is denoted by θ symbol.

How to calculate Angle made by length of chip using this online calculator? To use this online calculator for Angle made by length of chip, enter Average Length of Chip (l_c) & Diameter of Grinding Tool Wheel (d_t) and hit the calculate button. Here is how the Angle made by length of chip calculation can be explained with given input values -> 683.7156 = asin(2*0.02016/0.19581).

FAQ

What is Angle made by length of chip?

The Angle made by length of chip formula is angle made by arc of length of chip from midpoint and is represented as θ = asin(2*l_c/d_t) or Angle made by the length of the chip = asin(2*Average Length of Chip/Diameter of Grinding Tool Wheel). Average Length of Chip is the undeformed chip length during grinding operation & 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?

The Angle made by length of chip formula is angle made by arc of length of chip from midpoint is calculated using Angle made by the length of the chip = asin(2*Average Length of Chip/Diameter of Grinding Tool Wheel). To calculate Angle made by length of chip, you need Average Length of Chip (l_c) & Diameter of Grinding Tool Wheel (d_t). With our tool, you need to enter the respective value for Average Length of Chip & 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 Average Length of Chip & 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 = acos(1-(2*Infeed in Grinding Machine/Diameter of Grinding Tool Wheel))

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