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Angle set from axis B Calculator

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✖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 Top Rake Angle or Back 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.ⓘ Top Rake Angle [α_t]			+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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Angle set from axis B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle Set from Axis b = (atan(cos(Side Rake Angle)*tan(Top Rake Angle)))
γ_set = (atan(cos(α_s)*tan(α_t)))
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.
Top Rake Angle - (Measured in Radian) - The Top Rake Angle or Back 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)
Top 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_t))) --> (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!

< Metal Cutting Tools Calculators

Orthogonal Rake Angle

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

Side Rake Angle

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

Inclination Angle

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

Back Rake Angle

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

Angle set from axis B Formula

LaTeX Go

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

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(Top 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) & Top Rake Angle (α_t) 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_t))) or Angle Set from Axis b = (atan(cos(Side Rake Angle)*tan(Top 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 Top Rake Angle or Back 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(Top Rake Angle))). To calculate Angle set from axis B, you need Side Rake Angle (α_s) & Top Rake Angle (α_t). With our tool, you need to enter the respective value for Side Rake Angle & Top 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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