Radial Force Calculator

✖The Thrust Force is the force applied perpendicular to work-piece in context of Orthogonal Cutting.ⓘ Thrust Force [F_t]			+10% -10%
✖The Side Cutting Edge Angle for Orthogonal Cutting is defined as the angle between the side cutting edge and the side of the shank of the cutting tool. It is often referred to as the lead angle.ⓘ Side Cutting Edge Angle for Orthogonal Cutting [ψ_s]			+10% -10%

✖Radial force refers to the force exerted perpendicular to the cutting direction, towards the center of rotation of the workpiece.ⓘ Radial Force [F_r]

⎘ Copy

👎

Formula

✖

Radial Force

Formula

`"F"_{"r"} = "F"_{"t"}*sin("ψ"_{"s"})`

Example

`"5.1619N"="6.29N"*sin("55.1501°")`

Calculator

LaTeX

Reset

👍

Download Metal Cutting Formula PDF

Radial Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Force = Thrust Force*sin(Side Cutting Edge Angle for Orthogonal Cutting)
F_r = F_t*sin(ψ_s)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Radial Force - (Measured in Newton) - Radial force refers to the force exerted perpendicular to the cutting direction, towards the center of rotation of the workpiece.
Thrust Force - (Measured in Newton) - The Thrust Force is the force applied perpendicular to work-piece in context of Orthogonal Cutting.
Side Cutting Edge Angle for Orthogonal Cutting - (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 shank of the cutting tool. It is often referred to as the lead angle.

STEP 1: Convert Input(s) to Base Unit

Thrust Force: 6.29 Newton --> 6.29 Newton No Conversion Required
Side Cutting Edge Angle for Orthogonal Cutting: 55.1501 Degree --> 0.962550827803944 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_r = F_t*sin(ψ_s) --> 6.29*sin(0.962550827803944)

Evaluating ... ...

F_r = 5.16190015107037

STEP 3: Convert Result to Output's Unit

5.16190015107037 Newton --> No Conversion Required

FINAL ANSWER

5.16190015107037 ≈ 5.1619 Newton <-- Radial Force

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Cutting » Geometry of Turning Process » Radial Force

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V 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!

< 10+ Geometry of Turning Process Calculators

Side Rake Angle for Orthogonal Cutting

Go Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle for Orthogonal Cutting))/(sin(Side Cutting Edge Angle for Orthogonal Cutting)))

Back Rake Angle for Orthogonal Cutting

Go Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle for Orthogonal Cutting))

Side Cutting Edge Angle for Orthogonal Cutting

Go Side Cutting Edge Angle for Orthogonal Cutting = acos(Depth of Cut/Cutting Width in Machining)

Uncut Chip Thickness

Go Uncut Chip Thickness = Feed*cos(Side Cutting Edge Angle for Orthogonal Cutting)

Machine Feed

Go Feed = Uncut Chip Thickness/cos(Side Cutting Edge Angle for Orthogonal Cutting)

Radial Force

Go Radial Force = Thrust Force*sin(Side Cutting Edge Angle for Orthogonal Cutting)

Feed Force

Go Feed Force = Thrust Force*cos(Side Cutting Edge Angle for Orthogonal Cutting)

Number of Jobs Revolution per Unit Time

Go Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece)

Initial Diameter of Job in Turning

Go Initial Diameter of Workpiece = Cutting Speed/(pi*Number of Revolutions)

Cutting Speed

Go Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions

Radial Force Formula

Radial Force = Thrust Force*sin(Side Cutting Edge Angle for Orthogonal Cutting)
F_r = F_t*sin(ψ_s)

What is Orthogonal Cutting and Oblique Cutting?

Orthogonal cutting is a type of cutting in which the cutting tool is perpendicular to the direction of tool motion. Oblique cutting is a type of cutting in which the cutting tool is at an oblique angle to the direction of tool motion.

What is radial force in metal cutting process?

The radial force has been used to predict a deflection in a Silent Tools boring bar. Cutting forces have two major components: axial and radial. Axial forces act in the direction parallel with the spindle. Radial forces act perpendicular to the spindle.

How to Calculate Radial Force?

Radial Force calculator uses Radial Force = Thrust Force*sin(Side Cutting Edge Angle for Orthogonal Cutting) to calculate the Radial Force, The Radial force in ORS only two-dimensional cut is being explained by now, in oblique cutting the third force appears due to the inclination angle (i) of the cutting edge. This force acts in the radial direction, Radial Force (Fr). Radial Force is denoted by F_r symbol.

How to calculate Radial Force using this online calculator? To use this online calculator for Radial Force, enter Thrust Force (F_t) & Side Cutting Edge Angle for Orthogonal Cutting (ψ_s) and hit the calculate button. Here is how the Radial Force calculation can be explained with given input values -> 5.1619 = 6.29*sin(0.962550827803944).

FAQ

What is Radial Force?

The Radial force in ORS only two-dimensional cut is being explained by now, in oblique cutting the third force appears due to the inclination angle (i) of the cutting edge. This force acts in the radial direction, Radial Force (Fr) and is represented as F_r = F_t*sin(ψ_s) or Radial Force = Thrust Force*sin(Side Cutting Edge Angle for Orthogonal Cutting). The Thrust Force is the force applied perpendicular to work-piece in context of Orthogonal Cutting & The Side Cutting Edge Angle for Orthogonal Cutting is defined as the angle between the side cutting edge and the side of the shank of the cutting tool. It is often referred to as the lead angle.

How to calculate Radial Force?

The Radial force in ORS only two-dimensional cut is being explained by now, in oblique cutting the third force appears due to the inclination angle (i) of the cutting edge. This force acts in the radial direction, Radial Force (Fr) is calculated using Radial Force = Thrust Force*sin(Side Cutting Edge Angle for Orthogonal Cutting). To calculate Radial Force, you need Thrust Force (F_t) & Side Cutting Edge Angle for Orthogonal Cutting (ψ_s). With our tool, you need to enter the respective value for Thrust Force & Side Cutting Edge Angle for Orthogonal Cutting and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search