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Cutting Ratio Formula

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The Cutting Ratio is defined as the thickness of metal before cutting to the thickness of metal after cutting. Check FAQs

r c = \frac{a c}{t 1}

r_c - Cutting Ratio?a_c - Undeformed Chip Thickness?t₁ - Uncut Chip Thickness?

Cutting Ratio Example

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With units

Only example

Here is how the Cutting Ratio equation looks like with Values.

Here is how the Cutting Ratio equation looks like with Units.

Here is how the Cutting Ratio equation looks like.

0.2 = \frac{0.25}{1.25}

0.2 = \frac{0.25mm}{1.25mm}

0.2 = \frac{0.25}{1.25}

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Cutting Ratio Solution

Follow our step by step solution on how to calculate Cutting Ratio?

FIRST Step Consider the formula

r c = \frac{a c}{t 1}

Next Step Substitute values of Variables

∴

r c = \frac{0.25mm}{1.25mm}

Next Step Convert Units

∴

r c = \frac{0.0002m}{0.0012m}

Next Step Prepare to Evaluate

∴

r c = \frac{0.0002}{0.0012}

LAST Step Evaluate

∴

r c = 0.2

Cutting Ratio Formula Elements

Variables

Cutting Ratio

The Cutting Ratio is defined as the thickness of metal before cutting to the thickness of metal after cutting.

Symbol: r_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cutting Ratio

Undeformed Chip Thickness

Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.

Symbol: a_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Undeformed Chip Thickness

Uncut Chip Thickness

Uncut Chip Thickness is the thickness of the undeformed chip.

Symbol: t₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Uncut Chip Thickness

Other formulas in Chip Control category

Go Metal Removal Rate given Specific Cutting Energy

Z w = \frac{P m}{p s}

Go Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining

A c = \frac{F c}{p s}

Go Length of Shear Plane of Chip

l s = \frac{a c}{\sin (ϕ)}

Go Undeformed Chip Thickness using Length of Shear Plane of Chip

a c = l s \cdot \sin (ϕ)

How to Evaluate Cutting Ratio?

Cutting Ratio evaluator uses Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness to evaluate the Cutting Ratio, The Cutting Ratio is defined as the thickness of metal before cutting to the thickness of metal after cutting. Cutting Ratio is denoted by r_c symbol.

How to evaluate Cutting Ratio using this online evaluator? To use this online evaluator for Cutting Ratio, enter Undeformed Chip Thickness (a_c) & Uncut Chip Thickness (t₁) and hit the calculate button.

FAQs on Cutting Ratio

What is the formula to find Cutting Ratio?

The formula of Cutting Ratio is expressed as Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness. Here is an example- 0.2 = 0.00025/0.00125.

How to calculate Cutting Ratio?

With Undeformed Chip Thickness (a_c) & Uncut Chip Thickness (t₁) we can find Cutting Ratio using the formula - Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness.

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Cutting Ratio Formula

Cutting Ratio Example

Cutting Ratio Solution

Cutting Ratio Formula Elements

Other formulas in Chip Control category

How to Evaluate Cutting Ratio?

FAQs on Cutting Ratio

Variable Name