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

✖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 [ψ]

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✖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.ⓘ Lead (approach or entering) angle for given side cutting edge angle [λ]

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Formula

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

Formula

`"λ" = 1.5708-"ψ"`

Example

`"15.00021°"=1.5708-"75°"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Side Cutting Edge Angle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = 1.5708-ψ --> 1.5708-1.3089969389955

Evaluating ... ...

λ = 0.2618030610045

STEP 3: Convert Result to Output's Unit

0.2618030610045 Radian -->15.0002104591667 Degree (Check conversion here)

FINAL ANSWER

15.0002104591667 ≈ 15.00021 Degree <-- Approach or Entering 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

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

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

What is lead (approach or entering angle)

The lead (approach or entering) angle is the angle between a plane perpendicular to the cutter axis and a plane tangent to the surface of revolution of the cutting edges. It is the side cutting edge angle less than than the right angle i.e. 90 degrees.

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

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

How to calculate Lead (approach or entering) angle for given side cutting edge angle using this online calculator? To use this online calculator for Lead (approach or entering) angle for given side cutting edge angle, enter Side Cutting Edge Angle (ψ) and hit the calculate button. Here is how the Lead (approach or entering) angle for given side cutting edge angle calculation can be explained with given input values -> 4631.625 = 1.5708-1.3089969389955.

FAQ

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

The Lead (approach or entering) angle for given side cutting edge angle formula is defined as the side cutting edge angle less than the right angle i.e. 90 degrees. The value of the side cutting edge angle should be in degrees and is represented as λ = 1.5708-ψ or Approach or Entering Angle = 1.5708-Side Cutting Edge Angle. 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.

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

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