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Required Tool Back Rake Angle given 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 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.ⓘ Required Tool Back Rake Angle given Angle Set from Axis B [α_t]

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Required Tool Back Rake Angle given Angle Set from Axis B Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Angle Set from Axis b: 10.83 Degree --> 0.18901915799095 Radian (Check conversion here)
Side Rake Angle: 10.2 Degree --> 0.178023583703388 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_t = (atan(tan(γ_set)/cos(α_s))) --> (atan(tan(0.18901915799095)/cos(0.178023583703388)))

Evaluating ... ...

α_t = 0.191980991653683

STEP 3: Convert Result to Output's Unit

0.191980991653683 Radian -->10.9997005684944 Degree (Check conversion here)

FINAL ANSWER

10.9997005684944 ≈ 10.9997 Degree <-- Top Rake Angle

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Verified by Kumar Siddhant

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

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< 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)))

Required Tool Back Rake Angle given Angle Set from Axis B Formula

LaTeX Go

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

What is the function of rake angle?

Rake angle is a cutting edge angle that has large effects on cutting resistance, chip disposal, cutting temperature, and tool life. Increasing the rake angle in the positive (+) direction improves sharpness. Increasing the rake angle by 1° in the positive (+) direction decreases cutting power by about 1%.

How to Calculate Required Tool Back Rake Angle given Angle Set from Axis B?

Required Tool Back Rake Angle given Angle Set from Axis B calculator uses Top Rake Angle = (atan(tan(Angle Set from Axis b)/cos(Side Rake Angle))) to calculate the Top Rake Angle, The Required Tool Back Rake Angle given Angle Set from Axis B is the inclination of the face toward or away from the end of the end cutting edge of the tool. Top Rake Angle is denoted by α_t symbol.

How to calculate Required Tool Back Rake Angle given Angle Set from Axis B using this online calculator? To use this online calculator for Required Tool Back Rake Angle given Angle Set from Axis B, enter Angle Set from Axis b (γ_set) & Side Rake Angle (α_s) and hit the calculate button. Here is how the Required Tool Back Rake Angle given Angle Set from Axis B calculation can be explained with given input values -> 629.8542 = (atan(tan(0.18901915799095)/cos(0.178023583703388))).

FAQ

What is Required Tool Back Rake Angle given Angle Set from Axis B?

The Required Tool Back Rake Angle given Angle Set from Axis B is the inclination of the face toward or away from the end of the end cutting edge of the tool and is represented as α_t = (atan(tan(γ_set)/cos(α_s))) or Top Rake Angle = (atan(tan(Angle Set from Axis b)/cos(Side Rake Angle))). Angle Set from Axis b is defined as the angle set by the tool from axis b & 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.

How to calculate Required Tool Back Rake Angle given Angle Set from Axis B?

The Required Tool Back Rake Angle given Angle Set from Axis B is the inclination of the face toward or away from the end of the end cutting edge of the tool is calculated using Top Rake Angle = (atan(tan(Angle Set from Axis b)/cos(Side Rake Angle))). To calculate Required Tool Back Rake Angle given Angle Set from Axis B, you need Angle Set from Axis b (γ_set) & Side Rake Angle (α_s). With our tool, you need to enter the respective value for Angle Set from Axis b & Side 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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