Tool Engagement Angle in Slab Milling using Depth of Cut Calculator

✖Depth of Cut in Milling is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.ⓘ Depth of Cut in Milling [d_cut]			+10% -10%
✖Diameter of a Cutting Tool in Milling is the outer diameter of the cutting part of the tool.ⓘ Diameter of a Cutting Tool [D_cut]			+10% -10%

✖Tool Engagement Angle in Milling is the angle made by the portion of the tool that engages with the workpiece during machining process.ⓘ Tool Engagement Angle in Slab Milling using Depth of Cut [θ]

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Tool Engagement Angle in Slab Milling using Depth of Cut Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tool Engagement Angle in Milling = acos(1-(2*Depth of Cut in Milling/Diameter of a Cutting Tool))
θ = acos(1-(2*d_cut/D_cut))
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

Tool Engagement Angle in Milling - (Measured in Radian) - Tool Engagement Angle in Milling is the angle made by the portion of the tool that engages with the workpiece during machining process.
Depth of Cut in Milling - (Measured in Meter) - Depth of Cut in Milling is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
Diameter of a Cutting Tool - (Measured in Meter) - Diameter of a Cutting Tool in Milling is the outer diameter of the cutting part of the tool.

STEP 1: Convert Input(s) to Base Unit

Depth of Cut in Milling: 4.75 Millimeter --> 0.00475 Meter (Check conversion here)
Diameter of a Cutting Tool: 54.67 Millimeter --> 0.05467 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = acos(1-(2*d_cut/D_cut)) --> acos(1-(2*0.00475/0.05467))

Evaluating ... ...

θ = 0.598413985007205

STEP 3: Convert Result to Output's Unit

0.598413985007205 Radian -->34.2865957425242 Degree (Check conversion here)

FINAL ANSWER

34.2865957425242 ≈ 34.2866 Degree <-- Tool Engagement Angle in Milling

(Calculation completed in 00.020 seconds)

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Created by Kumar Siddhant

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

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Osmania University (OU), Hyderabad

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< Slab and Slide Milling Calculators

Maximum Chip Thickness obtained in Slab Milling using Tool Engagement Angle

LaTeX Go Max Chip Thickness in Slab Milling = Feed Speed in Milling*sin(Tool Engagement Angle in Milling)/(Number of Teeth on Cutting Tool*Rotational Frequency in Milling)

Tool Engagement Angle in Slab Milling using Depth of Cut

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

Feed Speed of Workpiece in Slab Milling

LaTeX Go Feed Speed in Milling = Feed Rate in Milling*Reciprocating Strokes Frequency

Feed in Slab Milling given Feed Speed

LaTeX Go Feed Rate in Milling = Feed Speed in Milling/Reciprocating Strokes Frequency

Tool Engagement Angle in Slab Milling using Depth of Cut Formula

LaTeX Go

Tool Engagement Angle in Milling = acos(1-(2*Depth of Cut in Milling/Diameter of a Cutting Tool))
θ = acos(1-(2*d_cut/D_cut))

Optimal Cutting During Milling

To cut optimally means to create chips with the optimal geometry for the particular tool being used and the particular material being cut. This requires controlling the feed rate, spindle speed, depth-of-cut, and the tool’s engagement with the material.

How to Calculate Tool Engagement Angle in Slab Milling using Depth of Cut?

Tool Engagement Angle in Slab Milling using Depth of Cut calculator uses Tool Engagement Angle in Milling = acos(1-(2*Depth of Cut in Milling/Diameter of a Cutting Tool)) to calculate the Tool Engagement Angle in Milling, The Tool Engagement Angle in Slab Milling using Depth of Cut is defined as the angle made by the portion of the tool that engages with the workpiece during the Machining Process, the Depth of Cut is given. Tool Engagement Angle in Milling is denoted by θ symbol.

How to calculate Tool Engagement Angle in Slab Milling using Depth of Cut using this online calculator? To use this online calculator for Tool Engagement Angle in Slab Milling using Depth of Cut, enter Depth of Cut in Milling (d_cut) & Diameter of a Cutting Tool (D_cut) and hit the calculate button. Here is how the Tool Engagement Angle in Slab Milling using Depth of Cut calculation can be explained with given input values -> 1964.477 = acos(1-(2*0.00475/0.05467)).

FAQ

What is Tool Engagement Angle in Slab Milling using Depth of Cut?

The Tool Engagement Angle in Slab Milling using Depth of Cut is defined as the angle made by the portion of the tool that engages with the workpiece during the Machining Process, the Depth of Cut is given and is represented as θ = acos(1-(2*d_cut/D_cut)) or Tool Engagement Angle in Milling = acos(1-(2*Depth of Cut in Milling/Diameter of a Cutting Tool)). Depth of Cut in Milling is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction & Diameter of a Cutting Tool in Milling is the outer diameter of the cutting part of the tool.

How to calculate Tool Engagement Angle in Slab Milling using Depth of Cut?

The Tool Engagement Angle in Slab Milling using Depth of Cut is defined as the angle made by the portion of the tool that engages with the workpiece during the Machining Process, the Depth of Cut is given is calculated using Tool Engagement Angle in Milling = acos(1-(2*Depth of Cut in Milling/Diameter of a Cutting Tool)). To calculate Tool Engagement Angle in Slab Milling using Depth of Cut, you need Depth of Cut in Milling (d_cut) & Diameter of a Cutting Tool (D_cut). With our tool, you need to enter the respective value for Depth of Cut in Milling & Diameter of a Cutting Tool and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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