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Radial Force Formula

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Radial force refers to the force exerted by the cutting tool perpendicular to the direction of the tool motion. Check FAQs

F r = F t \cdot \sin (ψ)

F_r - Radial Force?F_t - Thrust Force?ψ - Side Cutting Edge Angle?

Radial Force Example

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With units

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Here is how the Radial Force equation looks like with Values.

Here is how the Radial Force equation looks like with Units.

Here is how the Radial Force equation looks like.

5.1619 = 6.29 \cdot \sin (0.9626)

5.1619N = 6.29N \cdot \sin (0.9626rad)

5.1619 = 6.29 \cdot \sin (0.9626)

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Radial Force Solution

Follow our step by step solution on how to calculate Radial Force?

FIRST Step Consider the formula

F r = F t \cdot \sin (ψ)

Next Step Substitute values of Variables

∴

F r = 6.29N \cdot \sin (0.9626rad)

Next Step Prepare to Evaluate

∴

F r = 6.29 \cdot \sin (0.9626)

Next Step Evaluate

∴

F r = 5.16190015105619N

LAST Step Rounding Answer

∴

F r = 5.1619N

Radial Force Formula Elements

Variables

Functions

Radial Force

Radial force refers to the force exerted by the cutting tool perpendicular to the direction of the tool motion.

Symbol: F_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Radial Force

Thrust Force

Thrust force refers to the force exerted on the cutting tool in the direction parallel to the tool's axis of rotation.

Symbol: F_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Thrust Force

Side Cutting Edge Angle

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.

Symbol: ψ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Side Cutting Edge Angle

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.

Syntax: sin(Angle)

Other formulas in Geometry of Turning Process category

Go Uncut Chip Thickness

t 1 = f \cdot \cos (ψ)

Go Machine Feed

f = \frac{t 1}{\cos (ψ)}

Go Cutting Speed

V c = π \cdot d i \cdot N

Go Number of Jobs Revolution per Unit Time

N = \frac{V c}{π \cdot d i}

How to Evaluate Radial Force?

Radial Force evaluator uses Radial Force = Thrust Force*sin(Side Cutting Edge Angle) to evaluate 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 evaluate Radial Force using this online evaluator? To use this online evaluator for Radial Force, enter Thrust Force (F_t) & Side Cutting Edge Angle (ψ) and hit the calculate button.

FAQs on Radial Force

What is the formula to find Radial Force?

The formula of Radial Force is expressed as Radial Force = Thrust Force*sin(Side Cutting Edge Angle). Here is an example- -6.196941 = 6.29*sin(0.9625508278).

How to calculate Radial Force?

With Thrust Force (F_t) & Side Cutting Edge Angle (ψ) we can find Radial Force using the formula - Radial Force = Thrust Force*sin(Side Cutting Edge Angle). This formula also uses Sine (sin) function(s).

Can the Radial Force be negative?

No, the Radial Force, measured in Force cannot be negative.

Which unit is used to measure Radial Force?

Radial Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Radial Force can be measured.

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Radial Force Formula

Radial Force Example

Radial Force Solution

Radial Force Formula Elements

Other formulas in Geometry of Turning Process category

How to Evaluate Radial Force?

FAQs on Radial Force

Variable Name