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Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Formula

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Time Proportion of Cutting Edge For Minimum Cost is the minimum fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece. Check FAQs

Q min = T \cdot \frac{n}{(1 - n) \cdot (t c + (\frac{C t}{M}))}

Q_min - Time Proportion of Cutting Edge For Minimum Cost?T - Tool Life?n - Taylor's Tool Life Exponent?t_c - Time to Change One Tool?C_t - Cost of A Tool?M - Machining And Operating Rate?

Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Example

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Here is how the Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost equation looks like with Values.

Here is how the Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost equation looks like with Units.

Here is how the Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost equation looks like.

0.0313 = 4500 \cdot \frac{0.0324}{(1 - 0.0324) \cdot (75 + (\frac{478575}{101}))}

0.0313 = 4500s \cdot \frac{0.0324}{(1 - 0.0324) \cdot (75s + (\frac{478575}{101}))}

0.0313 = 4500 \cdot \frac{0.0324}{(1 - 0.0324) \cdot (75 + (\frac{478575}{101}))}

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Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Solution

Follow our step by step solution on how to calculate Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost?

FIRST Step Consider the formula

Q min = T \cdot \frac{n}{(1 - n) \cdot (t c + (\frac{C t}{M}))}

Next Step Substitute values of Variables

∴

Q min = 4500s \cdot \frac{0.0324}{(1 - 0.0324) \cdot (75s + (\frac{478575}{101}))}

Next Step Prepare to Evaluate

∴

Q min = 4500 \cdot \frac{0.0324}{(1 - 0.0324) \cdot (75 + (\frac{478575}{101}))}

Next Step Evaluate

∴

Q min = 0.0312669872012381

LAST Step Rounding Answer

∴

Q min = 0.0313

Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Formula Elements

Variables

Time Proportion of Cutting Edge For Minimum Cost

Time Proportion of Cutting Edge For Minimum Cost is the minimum fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.

Symbol: Q_min

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Time Proportion of Cutting Edge For Minimum Cost

Tool Life

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

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find 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 less than 1.

Formulas to find Taylor's Tool Life Exponent

Time to Change One Tool

Time to Change One Tool is the measure of time it takes to change one tool during machining.

Symbol: t_c

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time to Change One Tool

Cost of A Tool

Cost of A Tool is simply the cost of one tool being used for machining.

Symbol: C_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of A Tool

Machining And Operating Rate

Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Rate

Other formulas in Tool Cost category

Go Tool Changing Cost per Tool given Machining Cost

C ct = (T \cdot \frac{(\frac{C m}{t m}) - M}{Q}) - C t

Go Time Proportion of Cutting Edge Engagement given Machining Cost

Q = T \cdot \frac{(\frac{C m}{t m}) - M}{M \cdot t c + C t}

Go Tool Changing Time for 1 Tool given Machining Cost

t c = \frac{(T \cdot \frac{(\frac{C m}{t m}) - M}{Q}) - C t}{M}

Go Cost of 1 Tool given Machining Cost

C t = (T \cdot \frac{(\frac{C m}{t m}) - M}{Q}) - (M \cdot t c)

How to Evaluate Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost?

Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost evaluator uses Time Proportion of Cutting Edge For Minimum Cost = Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Machining And Operating Rate))) to evaluate the Time Proportion of Cutting Edge For Minimum Cost, The Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost is a way to determine the time fraction for which the Cutting Edge actually removes material from the workpiece in the given Machining Time. Time Proportion of Cutting Edge For Minimum Cost is denoted by Q_min symbol.

How to evaluate Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost using this online evaluator? To use this online evaluator for Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost, enter Tool Life (T), Taylor's Tool Life Exponent (n), Time to Change One Tool (t_c), Cost of A Tool (C_t) & Machining And Operating Rate (M) and hit the calculate button.

FAQs on Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost

What is the formula to find Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost?

The formula of Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost is expressed as Time Proportion of Cutting Edge For Minimum Cost = Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Machining And Operating Rate))). Here is an example- 0.031267 = 4500*0.032362/((1-0.032362)*(75+(478575/101))).

How to calculate Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost?

With Tool Life (T), Taylor's Tool Life Exponent (n), Time to Change One Tool (t_c), Cost of A Tool (C_t) & Machining And Operating Rate (M) we can find Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost using the formula - Time Proportion of Cutting Edge For Minimum Cost = Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Machining And Operating Rate))).

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Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Formula

Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Example

Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Solution

Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Formula Elements

Other formulas in Tool Cost category

How to Evaluate Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost?

FAQs on Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost

Variable Name