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

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Life of Tool is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations. Check FAQs

TL = T r \cdot {(\frac{V ref}{V})}^{\frac{1}{n}}

TL - Life of Tool?T_r - Reference Tool Life in Tool Life?V_ref - Reference Cutting Velocity?V - Cutting Velocity in Tool Life?n - Taylor's Tool Life Exponent?

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

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Here is how the Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition equation looks like with Values.

Here is how the Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition equation looks like with Units.

Here is how the Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition equation looks like.

4500.0012 = 295896 \cdot {(\frac{0.0241}{0.8333})}^{\frac{1}{0.8466}}

4500.0012s = 295896s \cdot {(\frac{0.0241m/s}{0.8333m/s})}^{\frac{1}{0.8466}}

4500.0012 = 295896 \cdot {(\frac{0.0241}{0.8333})}^{\frac{1}{0.8466}}

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

Follow our step by step solution on how to calculate Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition?

FIRST Step Consider the formula

TL = T r \cdot {(\frac{V ref}{V})}^{\frac{1}{n}}

Next Step Substitute values of Variables

∴

TL = 295896s \cdot {(\frac{0.0241m/s}{0.8333m/s})}^{\frac{1}{0.8466}}

Next Step Prepare to Evaluate

∴

TL = 295896 \cdot {(\frac{0.0241}{0.8333})}^{\frac{1}{0.8466}}

Next Step Evaluate

∴

TL = 4500.00124461168s

LAST Step Rounding Answer

∴

TL = 4500.0012s

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

Variables

Life of Tool

Life of Tool is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

Symbol: TL

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Life of Tool

Reference Tool Life in Tool Life

Reference Tool Life in Tool Life is the tool life of the tool obtained in the reference to machining condition.

Symbol: T_r

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Reference Tool Life in Tool Life

Reference Cutting Velocity

Reference Cutting Velocity is the cutting velocity of the tool used in the reference to machining condition.

Symbol: V_ref

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity

Cutting Velocity in Tool Life

The Cutting Velocity in Tool Life is the tangential 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 in Tool Life

Taylor's Tool Life Exponent

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

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Taylor's Tool Life Exponent

Other formulas in Tool Life category

Go Volume of Metal removed given Cutting Velocity and Tool Life

vol = TL \cdot V \cdot f \cdot d' cut

Go Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed

f = \frac{vol}{TL \cdot V \cdot d' cut}

Go Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed

d' cut = \frac{vol}{TL \cdot f \cdot V}

Go Tool temperature

θ = \frac{C 0 \cdot U s \cdot V^{0.44} \cdot A^{0.22}}{k^{0.44} \cdot c^{0.56}}

How to Evaluate Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition?

Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition evaluator uses Life of Tool = Reference Tool Life in Tool Life*(Reference Cutting Velocity/Cutting Velocity in Tool Life)^(1/Taylor's Tool Life Exponent) to evaluate the Life of Tool, The Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition is a method to determine the Tool Sharpening time interval required for a given Cutting Velocity in a machining condition when compared to the reference Condition. Life of Tool is denoted by TL symbol.

How to evaluate Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition using this online evaluator? To use this online evaluator for Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition, enter Reference Tool Life in Tool Life (T_r), Reference Cutting Velocity (V_ref), Cutting Velocity in Tool Life (V) & Taylor's Tool Life Exponent (n) and hit the calculate button.

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

What is the formula to find Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition?

The formula of Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition is expressed as Life of Tool = Reference Tool Life in Tool Life*(Reference Cutting Velocity/Cutting Velocity in Tool Life)^(1/Taylor's Tool Life Exponent). Here is an example- 4500.001 = 295896*(0.024083333/0.833333)^(1/0.846625).

How to calculate Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition?

With Reference Tool Life in Tool Life (T_r), Reference Cutting Velocity (V_ref), Cutting Velocity in Tool Life (V) & Taylor's Tool Life Exponent (n) we can find Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition using the formula - Life of Tool = Reference Tool Life in Tool Life*(Reference Cutting Velocity/Cutting Velocity in Tool Life)^(1/Taylor's Tool Life Exponent).

Can the Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition be negative?

No, the Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition, measured in Time cannot be negative.

Which unit is used to measure Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition?

Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition can be measured.

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

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

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

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

Other formulas in Tool Life category

How to Evaluate Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition?

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

Variable Name