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Tool Side Rake Angle using Angle Set from Axis B Calculator

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

✖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.ⓘ Tool Side Rake Angle using Angle Set from Axis B [α_s]

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Tool Side Rake Angle using Angle Set from Axis B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side Rake Angle = (acos(tan(Angle Set from Axis b)/tan(Top Rake Angle)))
α_s = (acos(tan(γ_set)/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)
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

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.
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.
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

Angle Set from Axis b: 10.83 Degree --> 0.18901915799095 Radian (Check conversion here)
Top Rake Angle: 11 Degree --> 0.19198621771934 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_s = (acos(tan(γ_set)/tan(α_t))) --> (acos(tan(0.18901915799095)/tan(0.19198621771934)))

Evaluating ... ...

α_s = 0.178178587472198

STEP 3: Convert Result to Output's Unit

0.178178587472198 Radian -->10.2088810617614 Degree (Check conversion here)

FINAL ANSWER

10.2088810617614 ≈ 10.20888 Degree <-- Side Rake Angle

(Calculation completed in 00.004 seconds)

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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)))

Tool Side Rake Angle using Angle Set from Axis B Formula

LaTeX Go

Side Rake Angle = (acos(tan(Angle Set from Axis b)/tan(Top Rake Angle)))
α_s = (acos(tan(γ_set)/tan(α_t)))

what is rake angle?

Rake angle is a parameter used in various cutting and machining processes, describing the angle of the cutting face relative to the work. There are three types of rake angles: positive, zero or neutral, and negative.

How to Calculate Tool Side Rake Angle using Angle Set from Axis B?

Tool Side Rake Angle using Angle Set from Axis B calculator uses Side Rake Angle = (acos(tan(Angle Set from Axis b)/tan(Top Rake Angle))) to calculate the Side Rake Angle, The Tool Side Rake Angle using Angle Set from Axis B is the angle that measures the slope of the tool face from the cutting edge. Side Rake Angle is denoted by α_s symbol.

How to calculate Tool Side Rake Angle using Angle Set from Axis B using this online calculator? To use this online calculator for Tool Side Rake Angle using Angle Set from Axis B, enter Angle Set from Axis b (γ_set) & Top Rake Angle (α_t) and hit the calculate button. Here is how the Tool Side Rake Angle using Angle Set from Axis B calculation can be explained with given input values -> 584.9258 = (acos(tan(0.18901915799095)/tan(0.19198621771934))).

FAQ

What is Tool Side Rake Angle using Angle Set from Axis B?

The Tool Side Rake Angle using Angle Set from Axis B is the angle that measures the slope of the tool face from the cutting edge and is represented as α_s = (acos(tan(γ_set)/tan(α_t))) or Side Rake Angle = (acos(tan(Angle Set from Axis b)/tan(Top Rake Angle))). Angle Set from Axis b is defined as the angle set by the tool from axis b & 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 Tool Side Rake Angle using Angle Set from Axis B?

The Tool Side Rake Angle using Angle Set from Axis B is the angle that measures the slope of the tool face from the cutting edge is calculated using Side Rake Angle = (acos(tan(Angle Set from Axis b)/tan(Top Rake Angle))). To calculate Tool Side Rake Angle using Angle Set from Axis B, you need Angle Set from Axis b (γ_set) & Top Rake Angle (α_t). With our tool, you need to enter the respective value for Angle Set from Axis b & 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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