Reference Cutting Speed given Production Cost per Component Calculator

✖Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in Metre.ⓘ Constant For Machining Condition [K]			+10% -10%
✖Reference Tool Life is the tool life of the tool obtained in the reference machining condition.ⓘ Reference Tool Life [L_ref]			+10% -10%
✖Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining And Operating Rate [M]			+10% -10%
✖Time to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Time to Change One Tool [t_c]			+10% -10%
✖The Cost of A Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+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%
✖Taylors Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylors Tool Life Exponent [n]			+10% -10%
✖Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.ⓘ Production Cost of Each Component [C_p]			+10% -10%
✖Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process.ⓘ Non-Productive Time [NPT]			+10% -10%

✖Reference Cutting Velocity is the cutting velocity of the tool used in the reference machining condition.ⓘ Reference Cutting Speed given Production Cost per Component [V_ref]

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Reference Cutting Speed given Production Cost per Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reference Cutting Velocity = ((Constant For Machining Condition/Reference Tool Life*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)))/(Production Cost of Each Component-Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)))^Taylors Tool Life Exponent
V_ref = ((K/L_ref*(M*t_c+C_t)*(V^((1-n)/n)))/(C_p-M*(NPT+K/V)))^n
This formula uses 10 Variables

Variables Used

Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the cutting velocity of the tool used in the reference machining condition.
Constant For Machining Condition - (Measured in Meter) - Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in Metre.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the tool life of the tool obtained in the reference machining condition.
Machining And Operating Rate - Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
Time to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.
Cost of A Tool - The Cost of A Tool is simply the cost of one tool being used for machining.
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).
Taylors Tool Life Exponent - Taylors Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.
Production Cost of Each Component - Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.
Non-Productive Time - (Measured in Second) - Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process.

STEP 1: Convert Input(s) to Base Unit

Constant For Machining Condition: 203.0681 Meter --> 203.0681 Meter No Conversion Required
Reference Tool Life: 2 Minute --> 120 Second (Check conversion here)
Machining And Operating Rate: 0.00283 --> No Conversion Required
Time to Change One Tool: 5 Minute --> 300 Second (Check conversion here)
Cost of A Tool: 100 --> No Conversion Required
Cutting Velocity: 0.28 Meter per Second --> 0.28 Meter per Second No Conversion Required
Taylors Tool Life Exponent: 0.125 --> No Conversion Required
Production Cost of Each Component: 5.655323 --> No Conversion Required
Non-Productive Time: 20 Minute --> 1200 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_ref = ((K/L_ref*(M*t_c+C_t)*(V^((1-n)/n)))/(C_p-M*(NPT+K/V)))^n --> ((203.0681/120*(0.00283*300+100)*(0.28^((1-0.125)/0.125)))/(5.655323-0.00283*(1200+203.0681/0.28)))^0.125

Evaluating ... ...

V_ref = 0.760000252701122

STEP 3: Convert Result to Output's Unit

0.760000252701122 Meter per Second --> No Conversion Required

FINAL ANSWER

0.760000252701122 ≈ 0.76 Meter per Second <-- Reference Cutting Velocity

(Calculation completed in 00.020 seconds)

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Created by Kumar Siddhant

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

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National Institute of Technology (NIT), Srinagar

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< Production Cost per Component Calculators

Machining and Operating Rate given Production Cost per Component

LaTeX Go Machining And Operating Rate = (Production Cost of Each Component-((Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))))/(Non-Productive Time+Constant For Machining Condition/Cutting Velocity+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*Time to Change One Tool*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)))

Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation

LaTeX Go Production Cost of Each Component = Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))

Nonproductive Time given Production Cost per Component

LaTeX Go Setup Time = (Production Cost of Each Component-((Machining And Operating Rate*Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition*((Cutting Velocity/Reference Cutting Velocity)^(1/Taylors Tool Life Exponent))*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)/(Reference Tool Life*Cutting Velocity))))/Machining And Operating Rate

Production Cost per Component for Constant-Speed-Rough-Machining given Tool Changing Cost

LaTeX Go Production Cost of Each Component = Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylors Tool Life Exponent)))*(Cost of Changing Each Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent))

Reference Cutting Speed given Production Cost per Component Formula

LaTeX Go

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 Cutting Speed given Production Cost per Component?

Reference Cutting Speed given Production Cost per Component calculator uses Reference Cutting Velocity = ((Constant For Machining Condition/Reference Tool Life*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)))/(Production Cost of Each Component-Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)))^Taylors Tool Life Exponent to calculate the Reference Cutting Velocity, The Reference Cutting Speed given Production Cost per Component is a method to determine the optimal Cutting Velocity required for a given Tool Life in a reference machining condition to manufacture a single component. Reference Cutting Velocity is denoted by V_ref symbol.

How to calculate Reference Cutting Speed given Production Cost per Component using this online calculator? To use this online calculator for Reference Cutting Speed given Production Cost per Component, enter Constant For Machining Condition (K), Reference Tool Life (L_ref), Machining And Operating Rate (M), Time to Change One Tool (t_c), Cost of A Tool (C_t), Cutting Velocity (V), Taylors Tool Life Exponent (n), Production Cost of Each Component (C_p) & Non-Productive Time (NPT) and hit the calculate button. Here is how the Reference Cutting Speed given Production Cost per Component calculation can be explained with given input values -> 0.76 = ((203.0681/120*(0.00283*300+100)*(0.28^((1-0.125)/0.125)))/(5.655323-0.00283*(1200+203.0681/0.28)))^0.125.

FAQ

What is Reference Cutting Speed given Production Cost per Component?

The Reference Cutting Speed given Production Cost per Component is a method to determine the optimal Cutting Velocity required for a given Tool Life in a reference machining condition to manufacture a single component and is represented as V_ref = ((K/L_ref*(M*t_c+C_t)*(V^((1-n)/n)))/(C_p-M*(NPT+K/V)))^n or Reference Cutting Velocity = ((Constant For Machining Condition/Reference Tool Life*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)))/(Production Cost of Each Component-Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)))^Taylors Tool Life Exponent. Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in Metre, Reference Tool Life is the tool life of the tool obtained in the reference machining condition, Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, Time to Change One Tool is the measure of time it takes to change one tool during machining, The Cost of A Tool is simply the cost of one tool being used for machining, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Taylors Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear, Production Cost of Each Component is the total amount that it takes to produce a single component from scratch & Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process.

How to calculate Reference Cutting Speed given Production Cost per Component?

The Reference Cutting Speed given Production Cost per Component is a method to determine the optimal Cutting Velocity required for a given Tool Life in a reference machining condition to manufacture a single component is calculated using Reference Cutting Velocity = ((Constant For Machining Condition/Reference Tool Life*(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)*(Cutting Velocity^((1-Taylors Tool Life Exponent)/Taylors Tool Life Exponent)))/(Production Cost of Each Component-Machining And Operating Rate*(Non-Productive Time+Constant For Machining Condition/Cutting Velocity)))^Taylors Tool Life Exponent. To calculate Reference Cutting Speed given Production Cost per Component, you need Constant For Machining Condition (K), Reference Tool Life (L_ref), Machining And Operating Rate (M), Time to Change One Tool (t_c), Cost of A Tool (C_t), Cutting Velocity (V), Taylors Tool Life Exponent (n), Production Cost of Each Component (C_p) & Non-Productive Time (NPT). With our tool, you need to enter the respective value for Constant For Machining Condition, Reference Tool Life, Machining And Operating Rate, Time to Change One Tool, Cost of A Tool, Cutting Velocity, Taylors Tool Life Exponent, Production Cost of Each Component & Non-Productive Time 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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