Working Minor Cutting Edge Angle given Roughness Value Calculator

✖The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f]			+10% -10%
✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R]			+10% -10%
✖The Working Major Cutting Edge Angle is the angle formed by the cutting edge, starting from the point where the cutting edge first engages with the workpiece.ⓘ Working Major Cutting Edge Angle [θ]			+10% -10%

✖The Working Minor Cutting Edge is the portion of the cutting edge that extends from the end of the primary cutting edge to the point where it effectively has no cutting action.ⓘ Working Minor Cutting Edge Angle given Roughness Value [θ']

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Formula

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Working Minor Cutting Edge Angle given Roughness Value

Formula

θ' = (a \cot ((\frac{f}{4 \cdot R}) - \cot (θ)))

Example

4.69 ° = (a \cot ((\frac{0.9 mm}{4 \cdot 0.017067 mm}) - \cot (45.17097 °)))

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Working Minor Cutting Edge Angle given Roughness Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting Edge Angle)))
θ' = (acot((f/(4*R))-cot(θ)))
This formula uses 2 Functions, 4 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
acot - The ACOT function calculates the arccotangent of a given number which is an angle given in radians from 0 (zero) to pi., acot(Number)

Variables Used

Working Minor Cutting Edge - (Measured in Radian) - The Working Minor Cutting Edge is the portion of the cutting edge that extends from the end of the primary cutting edge to the point where it effectively has no cutting action.
Feed - (Measured in Meter) - The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle.
Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
Working Major Cutting Edge Angle - (Measured in Radian) - The Working Major Cutting Edge Angle is the angle formed by the cutting edge, starting from the point where the cutting edge first engages with the workpiece.

STEP 1: Convert Input(s) to Base Unit

Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Roughness Value: 0.017067 Millimeter --> 1.7067E-05 Meter (Check conversion here)
Working Major Cutting Edge Angle: 45.17097 Degree --> 0.788382152819435 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ' = (acot((f/(4*R))-cot(θ))) --> (acot((0.0009/(4*1.7067E-05))-cot(0.788382152819435)))

Evaluating ... ...

θ' = 0.0818559426138279

STEP 3: Convert Result to Output's Unit

0.0818559426138279 Radian -->4.69000003983829 Degree (Check conversion here)

FINAL ANSWER

4.69000003983829 ≈ 4.69 Degree <-- Working Minor Cutting Edge

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Srinagar

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< Cutting Force and Surface Roughness Calculators

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Working Minor Cutting Edge Angle given Roughness Value Formula

Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting Edge Angle)))
θ' = (acot((f/(4*R))-cot(θ)))

What is RA and RZ value?

Ra measures the average length between the peaks and valleys and the deviation from the mean line on the entire surface within the sampling length. Rz measures the vertical distance from the highest peak to the lowest valley within five sampling lengths and averages the distances.

How to Calculate Working Minor Cutting Edge Angle given Roughness Value?

Working Minor Cutting Edge Angle given Roughness Value calculator uses Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting Edge Angle))) to calculate the Working Minor Cutting Edge, The Working Minor Cutting Edge Angle given Roughness Value formula is used to find the remainder of the cutting edge, where present, commences at the point on the cutting edge where the working cutting edge angle is zero. Working Minor Cutting Edge is denoted by θ' symbol.

How to calculate Working Minor Cutting Edge Angle given Roughness Value using this online calculator? To use this online calculator for Working Minor Cutting Edge Angle given Roughness Value, enter Feed (f), Roughness Value (R) & Working Major Cutting Edge Angle (θ) and hit the calculate button. Here is how the Working Minor Cutting Edge Angle given Roughness Value calculation can be explained with given input values -> 268.8479 = (acot((0.0009/(4*1.7067E-05))-cot(0.788382152819435))).

FAQ

What is Working Minor Cutting Edge Angle given Roughness Value?

The Working Minor Cutting Edge Angle given Roughness Value formula is used to find the remainder of the cutting edge, where present, commences at the point on the cutting edge where the working cutting edge angle is zero and is represented as θ' = (acot((f/(4*R))-cot(θ))) or Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting Edge Angle))). The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle, Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates & The Working Major Cutting Edge Angle is the angle formed by the cutting edge, starting from the point where the cutting edge first engages with the workpiece.

How to calculate Working Minor Cutting Edge Angle given Roughness Value?

The Working Minor Cutting Edge Angle given Roughness Value formula is used to find the remainder of the cutting edge, where present, commences at the point on the cutting edge where the working cutting edge angle is zero is calculated using Working Minor Cutting Edge = (acot((Feed/(4*Roughness Value))-cot(Working Major Cutting Edge Angle))). To calculate Working Minor Cutting Edge Angle given Roughness Value, you need Feed (f), Roughness Value (R) & Working Major Cutting Edge Angle (θ). With our tool, you need to enter the respective value for Feed, Roughness Value & Working Major Cutting Edge Angle 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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