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

GoTaylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life Formula

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

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

y - Taylor Tool Life Exponent?R_v - Ratio of Cutting Velocities?R_l - Ratio of Tool Lives?

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

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Here is how the Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions equation looks like with Values.

Here is how the Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions equation looks like with Units.

Here is how the Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions equation looks like.

0.8406 = (- 1) \cdot \frac{\ln (48)}{\ln (0.01)}

0.8406 = (- 1) \cdot \frac{\ln (48)}{\ln (0.01)}

0.8406 = (- 1) \cdot \frac{\ln (48)}{\ln (0.01)}

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

Follow our step by step solution on how to calculate Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

y = (- 1) \cdot \frac{\ln (48)}{\ln (0.01)}

Next Step Prepare to Evaluate

∴

y = (- 1) \cdot \frac{\ln (48)}{\ln (0.01)}

Next Step Evaluate

∴

y = 0.840620663926798

LAST Step Rounding Answer

∴

y = 0.8406

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

Variables

Functions

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

Ratio of Cutting Velocities

The Ratio of Cutting Velocities is the ratio of the cutting velocity of the tool in the given machining condition to the velocity in reference to machining condition.

Symbol: R_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Cutting Velocities

Ratio of Tool Lives

The Ratio of Tool Lives is the ratio of the tool life of the tool in the given machining condition to the tool life in reference to machining condition.

Symbol: R_l

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Tool Lives

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Taylor Tool Life Exponent

Go Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life

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

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 Intercept given Cutting Velocity and Tool Life

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

Go Taylor's Tool Life given Cutting Velocity and Taylor's Intercept

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

Go Feed given Taylor's Tool Life, Cutting Velocity, and Intercept

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

How to Evaluate Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions?

Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions evaluator uses Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives) to evaluate the Taylor Tool Life Exponent, The Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions is a method to determine the Taylor's Tool Life Exponent when comparison has been made between two Machining Conditions with the same tool. Taylor Tool Life Exponent is denoted by y symbol.

How to evaluate Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions using this online evaluator? To use this online evaluator for Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions, enter Ratio of Cutting Velocities (R_v) & Ratio of Tool Lives (R_l) and hit the calculate button.

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

What is the formula to find Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions?

The formula of Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions is expressed as Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives). Here is an example- 0.840621 = (-1)*ln(48.00001)/ln(0.01).

How to calculate Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions?

With Ratio of Cutting Velocities (R_v) & Ratio of Tool Lives (R_l) we can find Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions using the formula - Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Taylor Tool Life Exponent?

Here are the different ways to Calculate Taylor Tool Life Exponent-

Taylor Tool Life Exponent=ln(Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent for Depth of Cut)))/ln(Tool Life in Taylors Theory)

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

​GoTaylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life Formula

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

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

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

Other Formulas to find Taylor Tool Life Exponent

Other formulas in Taylor's Theory category

How to Evaluate Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions?

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

Variable Name

GoTaylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life Formula