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Time Proportion of Cutting Edge Engagement given Machining Cost Formula

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

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

Q - Time Proportion of Cutting Edge Engagement?T - Tool Life?C_m - Machining And Operating Cost of Each Product?t_m - Machining Time?M - Machining And Operating Rate?t_c - Time to Change One Tool?C_t - Cost of A Tool?

Time Proportion of Cutting Edge Engagement given Machining Cost Example

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

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

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

0.5 = 4500 \cdot \frac{(\frac{4650.5}{30}) - 101}{101 \cdot 75 + 478575}

0.5 = 4500s \cdot \frac{(\frac{4650.5}{30s}) - 101}{101 \cdot 75s + 478575}

0.5 = 4500 \cdot \frac{(\frac{4650.5}{30}) - 101}{101 \cdot 75 + 478575}

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Time Proportion of Cutting Edge Engagement given Machining Cost Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = 4500s \cdot \frac{(\frac{4650.5}{30s}) - 101}{101 \cdot 75s + 478575}

Next Step Prepare to Evaluate

∴

Q = 4500 \cdot \frac{(\frac{4650.5}{30}) - 101}{101 \cdot 75 + 478575}

LAST Step Evaluate

∴

Q = 0.5

Time Proportion of Cutting Edge Engagement given Machining Cost Formula Elements

Variables

Time Proportion of Cutting Edge Engagement

Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Time Proportion of Cutting Edge Engagement

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

Machining And Operating Cost of Each Product

Machining And Operating Cost of Each Product is the total amount of money required to machine a single product.

Symbol: C_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Cost of Each Product

Machining Time

Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.

Symbol: t_m

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Machining Time

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

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

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 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}

How to Evaluate Time Proportion of Cutting Edge Engagement given Machining Cost?

Time Proportion of Cutting Edge Engagement given Machining Cost evaluator uses Time Proportion of Cutting Edge Engagement = Tool Life*((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate)/(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool) to evaluate the Time Proportion of Cutting Edge Engagement, The Time Proportion of Cutting Edge Engagement given Machining Cost is a method 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 Engagement is denoted by Q symbol.

How to evaluate Time Proportion of Cutting Edge Engagement given Machining Cost using this online evaluator? To use this online evaluator for Time Proportion of Cutting Edge Engagement given Machining Cost, enter Tool Life (T), Machining And Operating Cost of Each Product (C_m), Machining Time (t_m), Machining And Operating Rate (M), Time to Change One Tool (t_c) & Cost of A Tool (C_t) and hit the calculate button.

FAQs on Time Proportion of Cutting Edge Engagement given Machining Cost

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

The formula of Time Proportion of Cutting Edge Engagement given Machining Cost is expressed as Time Proportion of Cutting Edge Engagement = Tool Life*((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate)/(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool). Here is an example- 0.5 = 4500*((4650.5/30)-101)/(101*75+478575).

How to calculate Time Proportion of Cutting Edge Engagement given Machining Cost?

With Tool Life (T), Machining And Operating Cost of Each Product (C_m), Machining Time (t_m), Machining And Operating Rate (M), Time to Change One Tool (t_c) & Cost of A Tool (C_t) we can find Time Proportion of Cutting Edge Engagement given Machining Cost using the formula - Time Proportion of Cutting Edge Engagement = Tool Life*((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate)/(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool).

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Time Proportion of Cutting Edge Engagement given Machining Cost Formula

Time Proportion of Cutting Edge Engagement given Machining Cost Example

Time Proportion of Cutting Edge Engagement given Machining Cost Solution

Time Proportion of Cutting Edge Engagement given Machining Cost Formula Elements

Other formulas in Tool Cost category

How to Evaluate Time Proportion of Cutting Edge Engagement given Machining Cost?

FAQs on Time Proportion of Cutting Edge Engagement given Machining Cost

Variable Name