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Taylor's Intercept given Cutting Velocity and Tool Life Formula

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

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

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

Taylor's Intercept given Cutting Velocity and Tool Life Example

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

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

Here is how the Taylor's Intercept given Cutting Velocity and Tool Life equation looks like.

81.0763 = 0.8333 \cdot ({1.18}^{0.8466}) \cdot ({0.7}^{0.2}) \cdot ({0.013}^{0.24})

81.0763 = 0.8333m/s \cdot ({1.18h}^{0.8466}) \cdot ({0.7mm/rev}^{0.2}) \cdot ({0.013m}^{0.24})

81.0763 = 0.8333 \cdot ({1.18}^{0.8466}) \cdot ({0.7}^{0.2}) \cdot ({0.013}^{0.24})

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Taylor's Intercept given Cutting Velocity and Tool Life Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = 0.8333m/s \cdot ({1.18h}^{0.8466}) \cdot ({0.7mm/rev}^{0.2}) \cdot ({0.013m}^{0.24})

Next Step Convert Units

∴

C = 0.8333m/s \cdot ({4248s}^{0.8466}) \cdot ({0.0007m/rev}^{0.2}) \cdot ({0.013m}^{0.24})

Next Step Prepare to Evaluate

∴

C = 0.8333 \cdot (4248^{0.8466}) \cdot ({0.0007}^{0.2}) \cdot ({0.013}^{0.24})

Next Step Evaluate

∴

C = 81.0763380890551

LAST Step Rounding Answer

∴

C = 81.0763

Taylor's Intercept given Cutting Velocity and Tool Life Formula Elements

Variables

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

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

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

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 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 Taylor's Intercept given Cutting Velocity and Tool Life?

Taylor's Intercept given Cutting Velocity and Tool Life evaluator uses Taylor's Constant = Cutting Velocity*(Tool Life in Taylors Theory^Taylor Tool Life Exponent)*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent for Depth of Cut) to evaluate the Taylor's Constant, The Taylor's Intercept given Cutting Velocity and Tool Life is a method to find the experimental Taylor's Constant or Intercept after practical data of tool machining have been tabulated. This is method is often used for drawing comparison between different Tools, Feed rate, and Depth of Cut. Taylor's Constant is denoted by C symbol.

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

FAQs on Taylor's Intercept given Cutting Velocity and Tool Life

What is the formula to find Taylor's Intercept given Cutting Velocity and Tool Life?

The formula of Taylor's Intercept given Cutting Velocity and Tool Life is expressed as Taylor's Constant = Cutting Velocity*(Tool Life in Taylors Theory^Taylor Tool Life Exponent)*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent for Depth of Cut). Here is an example- 81.07634 = 0.833333*(4248^0.8466244)*(0.0007^0.2)*(0.013^0.24).

How to calculate Taylor's Intercept given Cutting Velocity and Tool Life?

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

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Taylor's Intercept given Cutting Velocity and Tool Life Formula

Taylor's Intercept given Cutting Velocity and Tool Life Example

Taylor's Intercept given Cutting Velocity and Tool Life Solution

Taylor's Intercept given Cutting Velocity and Tool Life Formula Elements

Other formulas in Taylor's Theory category

How to Evaluate Taylor's Intercept given Cutting Velocity and Tool Life?

FAQs on Taylor's Intercept given Cutting Velocity and Tool Life

Variable Name