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Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Formula

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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. Check FAQs

d = {(\frac{C}{V \cdot f^{a} \cdot L^{y}})}^{\frac{1}{b}}

d - Depth of Cut?C - Taylor's Constant?V - Cutting Velocity?f - Feed Rate?a - Taylor's Exponent for Feed Rate in Taylors Theory?L - Tool Life in Taylors Theory?y - Taylor Tool Life Exponent?b - Taylor's Exponent for Depth of Cut?

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Example

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Here is how the Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept equation looks like with Values.

Here is how the Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept equation looks like with Units.

Here is how the Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept equation looks like.

0.0159 = {(\frac{85.1306}{0.8333 \cdot {0.7}^{0.2} \cdot {1.18}^{0.8466}})}^{\frac{1}{0.24}}

0.0159m = {(\frac{85.1306}{0.8333m/s \cdot {0.7mm/rev}^{0.2} \cdot {1.18h}^{0.8466}})}^{\frac{1}{0.24}}

0.0159 = {(\frac{85.1306}{0.8333 \cdot {0.7}^{0.2} \cdot {1.18}^{0.8466}})}^{\frac{1}{0.24}}

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Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Solution

Follow our step by step solution on how to calculate Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept?

FIRST Step Consider the formula

d = {(\frac{C}{V \cdot f^{a} \cdot L^{y}})}^{\frac{1}{b}}

Next Step Substitute values of Variables

∴

d = {(\frac{85.1306}{0.8333m/s \cdot {0.7mm/rev}^{0.2} \cdot {1.18h}^{0.8466}})}^{\frac{1}{0.24}}

Next Step Convert Units

∴

d = {(\frac{85.1306}{0.8333m/s \cdot {0.0007m/rev}^{0.2} \cdot {4248s}^{0.8466}})}^{\frac{1}{0.24}}

Next Step Prepare to Evaluate

∴

d = {(\frac{85.1306}{0.8333 \cdot {0.0007}^{0.2} \cdot 4248^{0.8466}})}^{\frac{1}{0.24}}

Next Step Evaluate

∴

d = 0.0159309379133196m

LAST Step Rounding Answer

∴

d = 0.0159m

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Formula Elements

Variables

Depth of Cut

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.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Cut

Taylor's Constant

Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Taylor's Constant

Cutting Velocity

Cutting Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Feed Rate

Feed Rate is defined as the tool's distance travelled during one spindle revolution.

Symbol: f

Measurement: FeedUnit: mm/rev

Note: Value should be greater than 0.

Formulas to find Feed Rate

Taylor's Exponent for Feed Rate in Taylors Theory

Taylor's Exponent for Feed Rate in Taylors Theory is an experimental exponent used to draw a relation between feed rate to workpiece and tool life.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Taylor's Exponent for Feed Rate in Taylors Theory

Tool Life in Taylors Theory

Tool Life in Taylors Theory is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

Symbol: L

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Tool Life in Taylors Theory

Taylor Tool Life Exponent

Taylor Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.

Symbol: y

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Taylor Tool Life Exponent

Taylor's Exponent for Depth of Cut

Taylor's Exponent for Depth of Cut is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Taylor's Exponent for Depth of Cut

Other formulas in Taylor's Theory category

Go Taylor's Tool Life given Cutting Velocity and Intercept

T tl = {(\frac{C}{V})}^{\frac{1}{y}}

Go Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions

y = (- 1) \cdot \frac{\ln (R v)}{\ln (R l)}

How to Evaluate Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept?

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept evaluator uses Depth of Cut = (Taylor's Constant/(Cutting Velocity*Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory*Tool Life in Taylors Theory^Taylor Tool Life Exponent))^(1/Taylor's Exponent for Depth of Cut) to evaluate the Depth of Cut, The Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept is Given is a method to determine the maximum Depth of Cut that can be applied on the Workpiece to get a specified Tool Life under a given Cutting Velocity. Depth of Cut is denoted by d symbol.

How to evaluate Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept using this online evaluator? To use this online evaluator for Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept, enter Taylor's Constant (C), Cutting Velocity (V), Feed Rate (f), Taylor's Exponent for Feed Rate in Taylors Theory (a), Tool Life in Taylors Theory (L), Taylor Tool Life Exponent (y) & Taylor's Exponent for Depth of Cut (b) and hit the calculate button.

FAQs on Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept

What is the formula to find Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept?

The formula of Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept is expressed as Depth of Cut = (Taylor's Constant/(Cutting Velocity*Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory*Tool Life in Taylors Theory^Taylor Tool Life Exponent))^(1/Taylor's Exponent for Depth of Cut). Here is an example- 0.015931 = (85.13059/(0.833333*0.0007^0.2*4248^0.8466244))^(1/0.24).

How to calculate Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept?

With Taylor's Constant (C), Cutting Velocity (V), Feed Rate (f), Taylor's Exponent for Feed Rate in Taylors Theory (a), Tool Life in Taylors Theory (L), Taylor Tool Life Exponent (y) & Taylor's Exponent for Depth of Cut (b) we can find Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept using the formula - Depth of Cut = (Taylor's Constant/(Cutting Velocity*Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory*Tool Life in Taylors Theory^Taylor Tool Life Exponent))^(1/Taylor's Exponent for Depth of Cut).

Can the Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept be negative?

No, the Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept, measured in Length cannot be negative.

Which unit is used to measure Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept?

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept can be measured.

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Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Formula

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Example

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Solution

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept Formula Elements

Other formulas in Taylor's Theory category

How to Evaluate Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept?

FAQs on Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept

Variable Name