Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition Calculator

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✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%
✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.ⓘ Reference Cutting Velocity [V_ref]			+10% -10%
✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+10% -10%

✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition [T_ref]

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Formula

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Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition

Formula

`"T"_{"ref"} = "T"/(("V"_{"ref"}/"V")^(1/"n"))`

Example

`"452262.7"min""="75"min""/(("5m/"min""/"10m/s")^(1/"0.55"))`

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Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reference Tool Life = Tool Life/((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))
T_ref = T/((V_ref/V)^(1/n))
This formula uses 5 Variables

Variables Used

Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

STEP 1: Convert Input(s) to Base Unit

Tool Life: 75 Minute --> 4500 Second (Check conversion here)
Reference Cutting Velocity: 5 Meter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
Cutting Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_ref = T/((V_ref/V)^(1/n)) --> 4500/((0.0833333333333333/10)^(1/0.55))

Evaluating ... ...

T_ref = 27135763.9071503

STEP 3: Convert Result to Output's Unit

27135763.9071503 Second -->452262.731785838 Minute (Check conversion here)

FINAL ANSWER

452262.731785838 ≈ 452262.7 Minute <-- Reference Tool Life

(Calculation completed in 00.004 seconds)

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Home » Physics » Metal Machining » Tool Life and Tool Wear » Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition

Credits

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 11 Tool Life and Tool Wear Calculators

Tool temperature

Go Tool Temperature = (Constant for tool temperature*Specific Cutting Energy per unit Cutting Force*Cutting Velocity^0.44*Area of cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of work^0.56)

Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions

Go Taylor's Tool Life Exponent = (-1)*ln(Cutting Velocity/Reference Cutting Velocity)/ln(Tool Life/Reference Tool Life)

Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition

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

Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition

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

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

Go Taylor's Tool Life Exponent = ln(Taylor's Intercept or Taylor's Constant/Cutting Velocity)/Tool Life

Taylor's Exponent if ratios of Cutting Velocities, Tool Lives are given in two machining conditions

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

Taylor's Tool Life given Cutting Velocity and Intercept

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

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

Go Taylor's Intercept or Taylor's Constant = Cutting Velocity*(Tool Life^Taylor's Tool Life Exponent)

Machinability Index

Go Machinability Index of a Material = Cutting Velocity*100/Cutting Speed of Free-Cutting Steel

Feed for Sintered-Carbide Tools using Crater Depth

Go Feed Rate = (Tool Wear Crater Depth-0.06)/0.3

Crater Depth for Sintered-Carbide Tools

Go Tool Wear Crater Depth = 0.06+0.3*Feed Rate

< 6 Tool Life Calculators

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

Go Tool Life = (Taylor's Intercept or Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut)))^(1/Taylor's Tool Life Exponent)

Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition

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

Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition

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

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

Go Taylor's Tool Life Exponent = ln(Taylor's Intercept or Taylor's Constant/Cutting Velocity)/Tool Life

Tool Life given Cutting Velocity and Volume of Metal Removed

Go Tool Life = Volume of Metal Removed/(Cutting Velocity*Feed Rate*Depth of Cut)

Taylor's Tool Life given Cutting Velocity and Intercept

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

Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition Formula

Reference Tool Life = Tool Life/((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))
T_ref = T/((V_ref/V)^(1/n))

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 Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition?

Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition calculator uses Reference Tool Life = Tool Life/((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)) to calculate the Reference Tool Life, The Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition is a method to determine the Tool Sharpening time period required for a known Cutting Velocity in the reference machining condition when compared to the current Condition. Reference Tool Life is denoted by T_ref symbol.

How to calculate Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition using this online calculator? To use this online calculator for Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition, enter Tool Life (T), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition calculation can be explained with given input values -> 452262.7 = 4500/((0.0833333333333333/10)^(1/0.55)).

FAQ

What is Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition?

The Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition is a method to determine the Tool Sharpening time period required for a known Cutting Velocity in the reference machining condition when compared to the current Condition and is represented as T_ref = T/((V_ref/V)^(1/n)) or Reference Tool Life = Tool Life/((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)). Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

How to calculate Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition?

The Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition is a method to determine the Tool Sharpening time period required for a known Cutting Velocity in the reference machining condition when compared to the current Condition is calculated using Reference Tool Life = Tool Life/((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)). To calculate Reference Tool Life given Cutting Velocities, Tool Life under Machining Condition, you need Tool Life (T), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Tool Life, Reference Cutting Velocity, Cutting Velocity & Taylor's Tool Life Exponent and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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