Angle set from axis B Calculator

✖The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge.ⓘ Side Rake Angle [α_s]			+10% -10%
✖The Back Rake Angle or Top Rake Angle is the angle between the face of the tool and a line parallel to the base of the tool and measured in a plane (perpendicular) through the side cutting edge.ⓘ Back Rake Angle [α_b]			+10% -10%

✖Angle Set from Axis b is defined as the angle set by the tool from axis b.ⓘ Angle set from axis B [γ_set]

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Formula

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Angle set from axis B

Formula

`"γ"_{"set"} = (atan(cos("α"_{"s"})*tan("α"_{"b"})))`

Example

`"10.8303°"=(atan(cos("10.2°")*tan("11°")))`

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Angle set from axis B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle Set from Axis b = (atan(cos(Side Rake Angle)*tan(Back Rake Angle)))
γ_set = (atan(cos(α_s)*tan(α_b)))
This formula uses 3 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)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Angle Set from Axis b - (Measured in Radian) - Angle Set from Axis b is defined as the angle set by the tool from axis b.
Side Rake Angle - (Measured in Radian) - The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge.
Back Rake Angle - (Measured in Radian) - The Back Rake Angle or Top Rake Angle is the angle between the face of the tool and a line parallel to the base of the tool and measured in a plane (perpendicular) through the side cutting edge.

STEP 1: Convert Input(s) to Base Unit

Side Rake Angle: 10.2 Degree --> 0.178023583703388 Radian (Check conversion here)
Back Rake Angle: 11 Degree --> 0.19198621771934 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_set = (atan(cos(α_s)*tan(α_b))) --> (atan(cos(0.178023583703388)*tan(0.19198621771934)))

Evaluating ... ...

γ_set = 0.189024307340779

STEP 3: Convert Result to Output's Unit

0.189024307340779 Radian -->10.8302950360124 Degree (Check conversion here)

FINAL ANSWER

10.8302950360124 ≈ 10.8303 Degree <-- Angle Set from Axis b

(Calculation completed in 00.004 seconds)

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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!

< 9 Metal Cutting Tools Calculators

Orthogonal Rake Angle

Go Orthogonal Rake Angle = arctan((tan(Side Rake Angle)*sin(Approach or Entering Angle))+(tan(Back Rake Angle)*cos(Approach or Entering Angle)))

Back Rake Angle

Go Back Rake Angle = atan((cos(Approach or Entering Angle)*tan(Orthogonal Rake Angle))+(sin(Approach or Entering Angle)*tan(Inclination Angle)))

Side Rake Angle

Go Side Rake Angle = atan((sin(Approach or Entering Angle)*tan(Orthogonal Rake Angle))-(cos(Approach or Entering Angle)*tan(Inclination Angle)))

Inclination Angle

Go Inclination Angle = atan((tan(Back Rake Angle)*sin(Approach or Entering Angle))-(tan(Side Rake Angle)*cos(Approach or Entering Angle)))

Required Tool Back Rake Angle given Angle Set from Axis B

Go Back Rake Angle = (atan(tan(Angle Set from Axis b)/cos(Side Rake Angle)))

Tool Side Rake Angle using Angle Set from Axis B

Go Side Rake Angle = (acos(tan(Angle Set from Axis b)/tan(Back Rake Angle)))

Angle set from axis B

Go Angle Set from Axis b = (atan(cos(Side Rake Angle)*tan(Back Rake Angle)))

Lead (approach or entering) angle for given side cutting edge angle

Go Approach or Entering Angle = 1.5708-Side Cutting Edge Angle

Side cutting edge angle for given Lead (approach or entering) angle

Go Side Cutting Edge Angle = 1.5708-Approach or Entering Angle

Angle set from axis B Formula

Angle Set from Axis b = (atan(cos(Side Rake Angle)*tan(Back Rake Angle)))
γ_set = (atan(cos(α_s)*tan(α_b)))

what is rake angle?

The rake angle is the angle of the surface of a cutting tooltip over which the removed chips flow. The rake angle is the angle between the front or cutting face of the tool and a line perpendicular to the workpiece.

How to Calculate Angle set from axis B?

Angle set from axis B calculator uses Angle Set from Axis b = (atan(cos(Side Rake Angle)*tan(Back Rake Angle))) to calculate the Angle Set from Axis b, The angle set from axis B is defined as the angle set by the tool from axis b of the tool when rake angle of y_p is required. Angle Set from Axis b is denoted by γ_set symbol.

How to calculate Angle set from axis B using this online calculator? To use this online calculator for Angle set from axis B, enter Side Rake Angle (α_s) & Back Rake Angle (α_b) and hit the calculate button. Here is how the Angle set from axis B calculation can be explained with given input values -> 620.907 = (atan(cos(0.178023583703388)*tan(0.19198621771934))).

FAQ

What is Angle set from axis B?

The angle set from axis B is defined as the angle set by the tool from axis b of the tool when rake angle of y_p is required and is represented as γ_set = (atan(cos(α_s)*tan(α_b))) or Angle Set from Axis b = (atan(cos(Side Rake Angle)*tan(Back Rake Angle))). The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge & The Back Rake Angle or Top Rake Angle is the angle between the face of the tool and a line parallel to the base of the tool and measured in a plane (perpendicular) through the side cutting edge.

How to calculate Angle set from axis B?

The angle set from axis B is defined as the angle set by the tool from axis b of the tool when rake angle of y_p is required is calculated using Angle Set from Axis b = (atan(cos(Side Rake Angle)*tan(Back Rake Angle))). To calculate Angle set from axis B, you need Side Rake Angle (α_s) & Back Rake Angle (α_b). With our tool, you need to enter the respective value for Side Rake Angle & Back Rake 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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