Nonproductive Time given Production Cost per Component Solution

STEP 0: Pre-Calculation Summary
Formula Used
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/Taylor's 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
ts = (Cpr-((M*K/V)+(K*((V/Vref)^(1/n))*(M*tc+Ct)/(Tref*V))))/M
This formula uses 10 Variables
Variables Used
Setup Time - (Measured in Second) - Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.
Production Cost of Each Component - Production Cost of Each Component is the total amount that it takes to produce a single component from scratch.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
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".
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).
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
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.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
STEP 1: Convert Input(s) to Base Unit
Production Cost of Each Component: 5.655323 --> No Conversion Required
Machining and Operating Rate: 0.00283 --> No Conversion Required
Constant For Machining Condition: 186.0331 Meter --> 186.0331 Meter No Conversion Required
Cutting Velocity: 0.28 Meter per Second --> 0.28 Meter per Second No Conversion Required
Reference Cutting Velocity: 0.76 Meter per Second --> 0.76 Meter per Second No Conversion Required
Taylor's Tool Life Exponent: 0.125 --> No Conversion Required
Time to Change One Tool: 5 Minute --> 300 Second (Check conversion here)
Cost of a Tool: 100 --> No Conversion Required
Reference Tool Life: 60 Second --> 60 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ts = (Cpr-((M*K/V)+(K*((V/Vref)^(1/n))*(M*tc+Ct)/(Tref*V))))/M --> (5.655323-((0.00283*186.0331/0.28)+(186.0331*((0.28/0.76)^(1/0.125))*(0.00283*300+100)/(60*0.28))))/0.00283
Evaluating ... ...
ts = 1199.9999300534
STEP 3: Convert Result to Output's Unit
1199.9999300534 Second --> No Conversion Required
FINAL ANSWER
1199.9999300534 โ‰ˆ 1200 Second <-- Setup Time
(Calculation completed in 00.020 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
Kumar Siddhant has created this Calculator and 400+ more calculators!
Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
Parul Keshav has verified this Calculator and 400+ more calculators!

10+ Production Cost per Component Calculators

Machining and Operating Rate given Production Cost per Component
Go Machining and Operating Rate = (Production Cost of Each Component-((Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylor's Tool Life Exponent)))*(Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))))/(Non-Productive Time+(Constant For Machining Condition/Cutting Velocity)+(Constant For Machining Condition/(Reference Tool Life*Reference Cutting Velocity^(1/Taylor's Tool Life Exponent)))*Time to Change One Tool*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))
Tool Changing Time for each Tool given Production Cost per Component
Go Time to Change One Tool = (((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/Taylor's Tool Life Exponent)))*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))))-Cost of a Tool)/Machining and Operating Rate
Cost of each Tool given Production Cost per Component
Go Cost of a Tool = ((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/Taylor's Tool Life Exponent)))*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))))-(Time to Change One Tool*Machining and Operating Rate)
Reference Tool Life given Production Cost per Component
Go Reference Tool Life = ((Constant For Machining Condition/(Reference Cutting Velocity^(1/Taylor's Tool Life Exponent)))*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))/(Production Cost of Each Component-Machining and Operating Rate*(Non-Productive Time+(Constant For Machining Condition/Cutting Velocity)))
Constant for Machining Operation given Production Cost per Component
Go Constant For Machining Condition = (Production Cost of Each Component-Machining and Operating Rate*Non-Productive Time)/(Machining and Operating Rate*(1/Cutting Velocity)+(1/(Reference Tool Life*Reference Cutting Velocity^(1/Taylor's Tool Life Exponent)))*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))
Production Cost per Component in Constant-Cutting-Speed, Rough-Machining Operation
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/Taylor's Tool Life Exponent)))*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))
Reference Cutting Speed given Production Cost per Component
Go 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-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))/(Production Cost of Each Component-Machining and Operating Rate*(Non-Productive Time+(Constant For Machining Condition/Cutting Velocity))))^Taylor's Tool Life Exponent
Taylor's Tool Life Constant given Production Cost per Component
Go Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Reference Tool Life*Cutting Velocity*(Production Cost of Each Component-Machining and Operating Rate*(Non-Productive Time+(Constant For Machining Condition/Cutting Velocity)))/(Constant For Machining Condition*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)))
Nonproductive Time given Production Cost per Component
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/Taylor's 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
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/Taylor's Tool Life Exponent)))*(Cost of changing each Tool+Cost of a Tool)*(Cutting Velocity^((1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))

Nonproductive Time given Production Cost per Component Formula

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/Taylor's 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
ts = (Cpr-((M*K/V)+(K*((V/Vref)^(1/n))*(M*tc+Ct)/(Tref*V))))/M

Significance of Total Non-Productive Time

The Total Non-Productive Time helps the concerned to determine the resource of the industry being wasted due to time lapse in important but non-profitable processes of the production line. It also helps in determining the required measures to be taken to increase the productivity of the plant which generally includes steps to decrease the Total Non-Productive Cost.

How to Calculate Nonproductive Time given Production Cost per Component?

Nonproductive Time given Production Cost per Component calculator uses 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/Taylor's 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 to calculate the Setup Time, The Nonproductive Time given Production Cost per Component is a method to determine the maximum time that can be spent to load/unload the workpiece and reposition the tool for the manufacturing of a single product based on the average cost per piece. Setup Time is denoted by ts symbol.

How to calculate Nonproductive Time given Production Cost per Component using this online calculator? To use this online calculator for Nonproductive Time given Production Cost per Component, enter Production Cost of Each Component (Cpr), Machining and Operating Rate (M), Constant For Machining Condition (K), Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Time to Change One Tool (tc), Cost of a Tool (Ct) & Reference Tool Life (Tref) and hit the calculate button. Here is how the Nonproductive Time given Production Cost per Component calculation can be explained with given input values -> 1200 = (5.655323-((0.00283*186.0331/0.28)+(186.0331*((0.28/0.76)^(1/0.125))*(0.00283*300+100)/(60*0.28))))/0.00283.

FAQ

What is Nonproductive Time given Production Cost per Component?
The Nonproductive Time given Production Cost per Component is a method to determine the maximum time that can be spent to load/unload the workpiece and reposition the tool for the manufacturing of a single product based on the average cost per piece and is represented as ts = (Cpr-((M*K/V)+(K*((V/Vref)^(1/n))*(M*tc+Ct)/(Tref*V))))/M or 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/Taylor's 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 of Each Component is the total amount that it takes to produce a single component from scratch, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, 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", The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear, 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 & Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
How to calculate Nonproductive Time given Production Cost per Component?
The Nonproductive Time given Production Cost per Component is a method to determine the maximum time that can be spent to load/unload the workpiece and reposition the tool for the manufacturing of a single product based on the average cost per piece is calculated using 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/Taylor's 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. To calculate Nonproductive Time given Production Cost per Component, you need Production Cost of Each Component (Cpr), Machining and Operating Rate (M), Constant For Machining Condition (K), Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Time to Change One Tool (tc), Cost of a Tool (Ct) & Reference Tool Life (Tref). With our tool, you need to enter the respective value for Production Cost of Each Component, Machining and Operating Rate, Constant For Machining Condition, Cutting Velocity, Reference Cutting Velocity, Taylor's Tool Life Exponent, Time to Change One Tool, Cost of a Tool & Reference Tool Life 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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