✖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.ⓘ Ratio of Cutting Velocities [R_v]			+10% -10%
✖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.ⓘ Ratio of Tool Lives [R_l]			+10% -10%

✖Taylor Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions [y]

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

Formula

`"y" = (-1)*ln("R"_{"v"})/ln("R"_{"l"})`

Example

`"0.840621"=(-1)*ln("48.00001")/ln("0.01")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives)
y = (-1)*ln(R_v)/ln(R_l)
This formula uses 1 Functions, 3 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Ratio of Cutting Velocities: 48.00001 --> No Conversion Required
Ratio of Tool Lives: 0.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = (-1)*ln(R_v)/ln(R_l) --> (-1)*ln(48.00001)/ln(0.01)

Evaluating ... ...

y = 0.840620663926798

STEP 3: Convert Result to Output's Unit

0.840620663926798 --> No Conversion Required

FINAL ANSWER

0.840620663926798 ≈ 0.840621 <-- Taylor Tool Life Exponent

(Calculation completed in 00.004 seconds)

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< 10+ Taylor's Theory Calculators

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

Go 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)

Taylor's Exponent of Depth of Cut

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

Taylor's Exponent of Feed

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

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

Go Tool Life in Taylors Theory = (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)))^(1/Taylor Tool Life Exponent)

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

Go Feed Rate = (Taylor's Constant/(Cutting Velocity*(Depth of Cut^Taylor's Exponent for Depth of Cut)*(Tool Life in Taylors Theory^Taylor Tool Life Exponent)))^(1/Taylor's Exponent for Feed Rate in Taylors Theory)

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

Go 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)

Taylor's Intercept given Cutting Velocity and Tool Life

Go 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)

Taylor's Tool Life Exponent given Cutting Velocity and Tool Life

Go Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory

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

Go Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives)

Taylor's Tool Life given Cutting Velocity and Intercept

Go Taylor's Tool Life = (Taylor's Constant/Cutting Velocity)^(1/Taylor Tool Life Exponent)

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

Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives)
y = (-1)*ln(R_v)/ln(R_l)

What is reference Machining Condition?

Reference Machining Condition is usually a state of Machining Operation which has been idealized as the most suitable. It is used to draw a comparison between different other Machining Conditions.

How to Calculate 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 calculator uses Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives) to calculate 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 calculate Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions using this online calculator? To use this online calculator 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. Here is how the Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions calculation can be explained with given input values -> 0.840621 = (-1)*ln(48.00001)/ln(0.01).

FAQ

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

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 and is represented as y = (-1)*ln(R_v)/ln(R_l) or Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives). 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 & 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.

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

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 is calculated using Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives). To calculate Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions, you need Ratio of Cutting Velocities (R_v) & Ratio of Tool Lives (R_l). With our tool, you need to enter the respective value for Ratio of Cutting Velocities & Ratio of Tool Lives and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Taylor Tool Life Exponent?

In this formula, Taylor Tool Life Exponent uses Ratio of Cutting Velocities & Ratio of Tool Lives. We can use 1 other way(s) to calculate the same, which is/are as follows -

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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