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

STEP 0: Pre-Calculation Summary
Formula Used
Back Rake Angle = (atan(tan(Angle Set from Axis b)/cos (Side Rake Angle)))
αb = (atan(tan(γset)/cos (αs)))
This formula uses 2 Functions, 3 Variables
Functions Used
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
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.
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
αb = (atan(tan(γset)/cos (αs))) --> (atan(tan(0.18901915799095)/cos (0.178023583703388)))
Evaluating ... ...
αb = 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 <-- Back Rake Angle
(Calculation completed in 00.004 seconds)

Credits

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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3 Nomenclature of Cutting Tools Calculators

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)))

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

Back Rake Angle = (atan(tan(Angle Set from Axis b)/cos (Side Rake Angle)))
αb = (atan(tan(γset)/cos (αs)))

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 Back Rake Angle = (atan(tan(Angle Set from Axis b)/cos (Side Rake Angle))) to calculate the Back 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. Back Rake Angle is denoted by αb 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 set) & Side Rake Angle 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 αb = (atan(tan(γset)/cos (αs))) or Back 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 Back 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 set) & Side Rake Angle 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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