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))
Tref = T/((Vref/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
Tref = T/((Vref/V)^(1/n)) --> 4500/((0.0833333333333333/10)^(1/0.55))
Evaluating ... ...
Tref = 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)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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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))
Tref = T/((Vref/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 Tref 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 (Vref), 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 Tref = T/((Vref/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 (Vref), 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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