Side cutting edge angle for given width of cut Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side Cutting Edge Angle = acos(Width of cut/Depth of Cut)
Ψs = acos(w/dcut)
This formula uses 2 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)
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 Cutting Edge Angle - (Measured in Radian) - 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.
Width of cut - (Measured in Meter) - The width of cut is defined as the width the tool cuts into the workpiece.
Depth of Cut - (Measured in Meter) - Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
STEP 1: Convert Input(s) to Base Unit
Width of cut: 4 Millimeter --> 0.004 Meter (Check conversion here)
Depth of Cut: 13 Millimeter --> 0.013 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ψs = acos(w/dcut) --> acos(0.004/0.013)
Evaluating ... ...
Ψs = 1.25802960485335
STEP 3: Convert Result to Output's Unit
1.25802960485335 Radian -->72.0797868606213 Degree (Check conversion here)
FINAL ANSWER
72.0797868606213 72.07979 Degree <-- Side Cutting Edge Angle
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

8 Geometry and Dimensions Calculators

Uncut chip thickness given cutting force, shear stress, cut, friction, normal rake and shear angles
Go Uncut Chip Thickness = Cutting Force*(cos(Shear angle+Friction Angle-Rake Angle))/(Width of cut*Average Shear Stress on Shear Plane*cos(Friction Angle-Rake Angle))
Width of cut given cutting force, shear stress, uncut chip, friction, normal rake and shear angles
Go Width of cut = Cutting Force*(cos(Shear angle+Friction Angle-Rake Angle))/(Average Shear Stress on Shear Plane*Uncut Chip Thickness*cos(Friction Angle-Rake Angle))
Area of shear plane for given shear angle, width of cut and uncut chip thickness
Go Area of Shear Plane = (Uncut Chip Thickness*Width of cut)/sin(Shear angle)
Uncut chip thickness for given width of cut, shear angle and area of shear plane
Go Uncut Chip Thickness = (Area of Shear Plane*sin(Shear angle))/Width of cut
Width of cut for given shear angle, uncut chip thickness and area of shear plane
Go Width of cut = (Area of Shear Plane*sin(Shear angle))/Uncut Chip Thickness
Shear angle for given area of shear plane, width of cut and uncut chip thickness
Go Shear angle = asin(Width of cut*Uncut Chip Thickness/Area of Shear Plane)
Side cutting edge angle for given width of cut
Go Side Cutting Edge Angle = acos(Width of cut/Depth of Cut)
Width of cut for given side cutting edge angle
Go Width of cut = Depth of Cut/cos(Side Cutting Edge Angle)

Side cutting edge angle for given width of cut Formula

Side Cutting Edge Angle = acos(Width of cut/Depth of Cut)
Ψs = acos(w/dcut)

What is side cutting edge angle?

The angle between the side cutting edge and the side of the tool shank is called the side cutting edge angle. It is often referred to as the lead angle. This is mainly used for finding the width of cut, depth of cut, etc.

How to Calculate Side cutting edge angle for given width of cut?

Side cutting edge angle for given width of cut calculator uses Side Cutting Edge Angle = acos(Width of cut/Depth of Cut) to calculate the Side Cutting Edge Angle, The Side cutting edge angle for given width of cut formula is defined as cos inverse of the ratio of the width of cut to the depth of cut. Side Cutting Edge Angle is denoted by Ψs symbol.

How to calculate Side cutting edge angle for given width of cut using this online calculator? To use this online calculator for Side cutting edge angle for given width of cut, enter Width of cut (w) & Depth of Cut (dcut) and hit the calculate button. Here is how the Side cutting edge angle for given width of cut calculation can be explained with given input values -> 4129.868 = acos(0.004/0.013).

FAQ

What is Side cutting edge angle for given width of cut?
The Side cutting edge angle for given width of cut formula is defined as cos inverse of the ratio of the width of cut to the depth of cut and is represented as Ψs = acos(w/dcut) or Side Cutting Edge Angle = acos(Width of cut/Depth of Cut). The width of cut is defined as the width the tool cuts into the workpiece & Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
How to calculate Side cutting edge angle for given width of cut?
The Side cutting edge angle for given width of cut formula is defined as cos inverse of the ratio of the width of cut to the depth of cut is calculated using Side Cutting Edge Angle = acos(Width of cut/Depth of Cut). To calculate Side cutting edge angle for given width of cut, you need Width of cut (w) & Depth of Cut (dcut). With our tool, you need to enter the respective value for Width of cut & Depth of Cut and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!