Radial Force Calculator

✖Thrust force refers to the force exerted on the cutting tool in the direction parallel to the tool's axis of rotation.ⓘ Thrust Force [F_t]			+10% -10%
✖Side cutting edge angle refers to the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.ⓘ Side Cutting Edge Angle [ψ]			+10% -10%

✖Radial force refers to the force exerted by the cutting tool perpendicular to the direction of the tool motion.ⓘ Radial Force [F_r]

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Formula

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Radial Force

Formula

`"F"_{"r"} = "F"_{"t"}*sin("ψ")`

Example

`"5.1619N"="6.29N"*sin("0.9625508278rad")`

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Radial Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Force = Thrust Force*sin(Side Cutting Edge Angle)
F_r = F_t*sin(ψ)
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 by the cutting tool perpendicular to the direction of the tool motion.
Thrust Force - (Measured in Newton) - Thrust force refers to the force exerted on the cutting tool in the direction parallel to the tool's axis of rotation.
Side Cutting Edge Angle - (Measured in Radian) - Side cutting edge angle refers to the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.

STEP 1: Convert Input(s) to Base Unit

Thrust Force: 6.29 Newton --> 6.29 Newton No Conversion Required
Side Cutting Edge Angle: 0.9625508278 Radian --> 0.9625508278 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_r = F_t*sin(ψ) --> 6.29*sin(0.9625508278)

Evaluating ... ...

F_r = 5.16190015105619

STEP 3: Convert Result to Output's Unit

5.16190015105619 Newton --> No Conversion Required

FINAL ANSWER

5.16190015105619 ≈ 5.1619 Newton <-- Radial Force

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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< 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))/(sin(Side Cutting Edge Angle)))

Back Rake Angle for Orthogonal Cutting

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

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

Side Cutting Edge Angle for Orthogonal Cutting

Go Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width)

Uncut Chip Thickness

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

Machine Feed

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

Radial Force

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

Feed Force

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

Radial Force Formula

Radial Force = Thrust Force*sin(Side Cutting Edge Angle)
F_r = F_t*sin(ψ)

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) to calculate the Radial Force, Radial force is the component of the total cutting force that acts perpendicular to the direction of the cutting velocity and parallel to the surface of the workpiece. It tends to push the cutting tool away from the workpiece. 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 (ψ) and hit the calculate button. Here is how the Radial Force calculation can be explained with given input values -> -6.196941 = 6.29*sin(0.9625508278).

FAQ

What is Radial Force?

Radial force is the component of the total cutting force that acts perpendicular to the direction of the cutting velocity and parallel to the surface of the workpiece. It tends to push the cutting tool away from the workpiece and is represented as F_r = F_t*sin(ψ) or Radial Force = Thrust Force*sin(Side Cutting Edge Angle). Thrust force refers to the force exerted on the cutting tool in the direction parallel to the tool's axis of rotation & Side cutting edge angle refers to the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.

How to calculate Radial Force?

Radial force is the component of the total cutting force that acts perpendicular to the direction of the cutting velocity and parallel to the surface of the workpiece. It tends to push the cutting tool away from the workpiece is calculated using Radial Force = Thrust Force*sin(Side Cutting Edge Angle). To calculate Radial Force, you need Thrust Force (F_t) & Side Cutting Edge Angle (ψ). With our tool, you need to enter the respective value for Thrust Force & 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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