Angle made by length of chip Calculator

✖Average Length of a Chip is the typical size (length) of the fragments created when a single abrasive grain on the grinding wheel fractures and removes material from the workpiece surface.ⓘ Average Length of a Chip [l_c]			+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%

✖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 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 a Chip/Diameter of Grinding Wheel Tool)
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 between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel.
Average Length of a Chip - (Measured in Meter) - Average Length of a Chip is the typical size (length) of the fragments created when a single abrasive grain on the grinding wheel fractures and removes material from the workpiece surface.
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

Average Length of a Chip: 20.16 Millimeter --> 0.02016 Meter (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

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 00.004 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 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

Angle made by length of chip Formula

Angle Made by The Length of The Chip = asin(2*Average Length of a Chip/Diameter of Grinding Wheel Tool)
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 a Chip/Diameter of Grinding Wheel Tool) to calculate the Angle Made by The Length of The Chip, Angle made by length of chip is the angle between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel. By focusing on the directional relationship between the chip and the grinding wheel, the definition of theta (θ) provides valuable insight into chip behavior and its influence on the grinding process. 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 a Chip (l_c) & Diameter of Grinding Wheel Tool (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?

Angle made by length of chip is the angle between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel. By focusing on the directional relationship between the chip and the grinding wheel, the definition of theta (θ) provides valuable insight into chip behavior and its influence on the grinding process 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 a Chip/Diameter of Grinding Wheel Tool). Average Length of a Chip is the typical size (length) of the fragments created when a single abrasive grain on the grinding wheel fractures and removes material from the workpiece surface & 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 Angle made by length of chip?

Angle made by length of chip is the angle between the direction of chip travel after removal from the workpiece and the direction of grinding wheel travel. By focusing on the directional relationship between the chip and the grinding wheel, the definition of theta (θ) provides valuable insight into chip behavior and its influence on the grinding process is calculated using Angle Made by The Length of The Chip = asin(2*Average Length of a Chip/Diameter of Grinding Wheel Tool). To calculate Angle made by length of chip, you need Average Length of a Chip (l_c) & Diameter of Grinding Wheel Tool (d_t). With our tool, you need to enter the respective value for Average Length of a 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 Angle Made by The Length of The Chip?

In this formula, Angle Made by The Length of The Chip uses Average Length of a Chip & Diameter of Grinding Wheel Tool. 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 Provided by Grinding Wheel)/Diameter of Grinding Wheel Tool)

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