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

✖The Approach or Entering Angle is the angle between a plane perpendicular to the cutter axis and a plane tangent to the surface of the revolution of the cutting edges.ⓘ Approach or Entering Angle [λ]

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✖Side cutting edge angle is defined as the angle between the side cutting edge and the side of the tool shank. It is often referred to as the lead angle.ⓘ Side cutting edge angle for given Lead (approach or entering) angle [ψ]

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Formula

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

Formula

`"ψ" = 1.5708-"λ"`

Example

`"75.00021°"=1.5708-"15°"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Side Cutting Edge Angle = 1.5708-Approach or Entering Angle
ψ = 1.5708-λ
This formula uses 2 Variables

Variables Used

Side Cutting Edge Angle - (Measured in Radian) - Side cutting edge angle is defined as the angle between the side cutting edge and the side of the tool shank. It is often referred to as the lead angle.
Approach or Entering Angle - (Measured in Radian) - The Approach or Entering Angle is the angle between a plane perpendicular to the cutter axis and a plane tangent to the surface of the revolution of the cutting edges.

STEP 1: Convert Input(s) to Base Unit

Approach or Entering Angle: 15 Degree --> 0.2617993877991 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ = 1.5708-λ --> 1.5708-0.2617993877991

Evaluating ... ...

ψ = 1.3090006122009

STEP 3: Convert Result to Output's Unit

1.3090006122009 Radian -->75.0002104591667 Degree (Check conversion here)

FINAL ANSWER

75.0002104591667 ≈ 75.00021 Degree <-- Side Cutting Edge Angle

(Calculation completed in 00.004 seconds)

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Credits

Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 200+ 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

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

Side Cutting Edge Angle = 1.5708-Approach or Entering Angle
ψ = 1.5708-λ

What is side cutting edge angle

The side cutting edge angle for orthogonal cutting is defined as the angle between the side cutting edge and the side of the tool shank. It is often referred to as the lead angle.

How to Calculate Side cutting edge angle for given Lead (approach or entering) angle?

Side cutting edge angle for given Lead (approach or entering) angle calculator uses Side Cutting Edge Angle = 1.5708-Approach or Entering Angle to calculate the Side Cutting Edge Angle, Side cutting edge angle for given Lead (approach or entering) angle formula is defined as the lead (approach or entering) angle less than the right angle i.e. 90 degrees. The Approach or entering angle should be in degrees. Side Cutting Edge Angle is denoted by ψ symbol.

How to calculate Side cutting edge angle for given Lead (approach or entering) angle using this online calculator? To use this online calculator for Side cutting edge angle for given Lead (approach or entering) angle, enter Approach or Entering Angle (λ) and hit the calculate button. Here is how the Side cutting edge angle for given Lead (approach or entering) angle calculation can be explained with given input values -> 4297.196 = 1.5708-0.2617993877991.

FAQ

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

Side cutting edge angle for given Lead (approach or entering) angle formula is defined as the lead (approach or entering) angle less than the right angle i.e. 90 degrees. The Approach or entering angle should be in degrees and is represented as ψ = 1.5708-λ or Side Cutting Edge Angle = 1.5708-Approach or Entering Angle. The Approach or Entering Angle is the angle between a plane perpendicular to the cutter axis and a plane tangent to the surface of the revolution of the cutting edges.

How to calculate Side cutting edge angle for given Lead (approach or entering) angle?

Side cutting edge angle for given Lead (approach or entering) angle formula is defined as the lead (approach or entering) angle less than the right angle i.e. 90 degrees. The Approach or entering angle should be in degrees is calculated using Side Cutting Edge Angle = 1.5708-Approach or Entering Angle. To calculate Side cutting edge angle for given Lead (approach or entering) angle, you need Approach or Entering Angle (λ). With our tool, you need to enter the respective value for Approach or Entering 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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