Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle Calculator

✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%
✖Tool Engagement Angle is the angle made by the portion of the tool that engages with the workpiece during machining process.ⓘ Tool Engagement Angle [θ]			+10% -10%
✖Number of Teeth on Cutting Tool, as the name says is the number of teeth on a Cutting Tool that actually participates in Machining.ⓘ Number of Teeth on Cutting Tool [N_teeth]			+10% -10%
✖Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.ⓘ Rotational Frequency [ν_rot]			+10% -10%

✖Maximum Chip Thickness is defined as the maximum thickness of the scraped chip produced during machining.ⓘ Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle [C_max]

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Formula

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Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle

Formula

`"C"_{"max"} = "V"_{"f"}*sin("θ")/("N"_{"teeth "}*"ν"_{"rot"})`

Example

`"0.25421mm"="0.1m/s"*sin("24°")/("16"*"10Hz")`

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Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Chip Thickness = Feed Speed*sin(Tool Engagement Angle)/(Number of Teeth on Cutting Tool*Rotational Frequency)
C_max = V_f*sin(θ)/(N_teeth*ν_rot)
This formula uses 1 Functions, 5 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

Maximum Chip Thickness - (Measured in Meter) - Maximum Chip Thickness is defined as the maximum thickness of the scraped chip produced during machining.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Tool Engagement Angle - (Measured in Radian) - Tool Engagement Angle is the angle made by the portion of the tool that engages with the workpiece during machining process.
Number of Teeth on Cutting Tool - Number of Teeth on Cutting Tool, as the name says is the number of teeth on a Cutting Tool that actually participates in Machining.
Rotational Frequency - (Measured in Hertz) - Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.

STEP 1: Convert Input(s) to Base Unit

Feed Speed: 0.1 Meter per Second --> 0.1 Meter per Second No Conversion Required
Tool Engagement Angle: 24 Degree --> 0.41887902047856 Radian (Check conversion here)
Number of Teeth on Cutting Tool: 16 --> No Conversion Required
Rotational Frequency: 10 Hertz --> 10 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_max = V_f*sin(θ)/(N_teeth*ν_rot) --> 0.1*sin(0.41887902047856)/(16*10)

Evaluating ... ...

C_max = 0.00025421040192233

STEP 3: Convert Result to Output's Unit

0.00025421040192233 Meter -->0.25421040192233 Millimeter (Check conversion here)

FINAL ANSWER

0.25421040192233 ≈ 0.25421 Millimeter <-- Maximum Chip Thickness

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< 10+ Slab and Slide Milling Calculators

Maximum Chip Thickness obtained in Slab Milling using Depth of Cut

Go Maximum Chip Thickness = 2*Feed Speed*sqrt(Depth of Cut/Diameter of Cutting Tool)/(Number of Teeth on Cutting Tool*Rotational Frequency)

Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle

Go Maximum Chip Thickness = Feed Speed*sin(Tool Engagement Angle)/(Number of Teeth on Cutting Tool*Rotational Frequency)

Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling

Go Diameter of A Cutting Tool For Slab = 2*Work Engagement/(sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)

Work Engagement given Proportion of Edge Engagement for Slab and Side Milling

Go Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of A Cutting Tool For Slab/2

Proportion of Cutting Edge Engagement for Slab and Side Milling

Go Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of A Cutting Tool)-1)/(2*pi))

Minimum Length of Approach required in Slab Milling

Go Length of Approach = sqrt(Depth of Cut*(Diameter of Cutting Tool-Depth of Cut))

Tool Engagement Angle in Slab Milling using Depth of Cut

Go Tool Engagement Angle = acos(1-(2*Depth of Cut/Diameter of Cutting Tool))

Depth of Cut in Slab Milling using Tool Engagement Angle

Go Depth of Cut = (1-cos(Tool Engagement Angle))*Diameter of Cutting Tool/2

Feed Speed of Workpiece in Slab Milling

Go Feed Speed = Feed Rate*Frequency of Reciprocating Strokes

Feed in Slab Milling given Feed Speed

Go Feed Rate = Feed Speed/Frequency of Reciprocating Strokes

Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle Formula

Maximum Chip Thickness = Feed Speed*sin(Tool Engagement Angle)/(Number of Teeth on Cutting Tool*Rotational Frequency)
C_max = V_f*sin(θ)/(N_teeth*ν_rot)

Tool Engagement Controlled Milling

It is a method to achieve the highest productivity. This requires optimal cutting along the Toolpath i.e. to create chips with the optimal geometry for a given Too and Workpiece. This requires controlling the feed rate, spindle speed, depth-of-cut, and the tool’s engagement with the material.

How to Calculate Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle?

Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle calculator uses Maximum Chip Thickness = Feed Speed*sin(Tool Engagement Angle)/(Number of Teeth on Cutting Tool*Rotational Frequency) to calculate the Maximum Chip Thickness, The Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle is a method to calculate the maximum size chip that is produced during a given engagement condition of the Tool and Workpiece. Maximum Chip Thickness is denoted by C_max symbol.

How to calculate Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle using this online calculator? To use this online calculator for Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle, enter Feed Speed (V_f), Tool Engagement Angle (θ), Number of Teeth on Cutting Tool (N_teeth) & Rotational Frequency (ν_rot) and hit the calculate button. Here is how the Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle calculation can be explained with given input values -> 254.2104 = 0.1*sin(0.41887902047856)/(16*10).

FAQ

What is Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle?

The Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle is a method to calculate the maximum size chip that is produced during a given engagement condition of the Tool and Workpiece and is represented as C_max = V_f*sin(θ)/(N_teeth*ν_rot) or Maximum Chip Thickness = Feed Speed*sin(Tool Engagement Angle)/(Number of Teeth on Cutting Tool*Rotational Frequency). Feed Speed is the Feed given against a workpiece per unit time, Tool Engagement Angle is the angle made by the portion of the tool that engages with the workpiece during machining process, Number of Teeth on Cutting Tool, as the name says is the number of teeth on a Cutting Tool that actually participates in Machining & Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.

How to calculate Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle?

The Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle is a method to calculate the maximum size chip that is produced during a given engagement condition of the Tool and Workpiece is calculated using Maximum Chip Thickness = Feed Speed*sin(Tool Engagement Angle)/(Number of Teeth on Cutting Tool*Rotational Frequency). To calculate Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle, you need Feed Speed (V_f), Tool Engagement Angle (θ), Number of Teeth on Cutting Tool (N_teeth) & Rotational Frequency (ν_rot). With our tool, you need to enter the respective value for Feed Speed, Tool Engagement Angle, Number of Teeth on Cutting Tool & Rotational Frequency 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 Maximum Chip Thickness?

In this formula, Maximum Chip Thickness uses Feed Speed, Tool Engagement Angle, Number of Teeth on Cutting Tool & Rotational Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Chip Thickness = 2*Feed Speed*sqrt(Depth of Cut/Diameter of Cutting Tool)/(Number of Teeth on Cutting Tool*Rotational Frequency)

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