Machining Time per component given Machining Cost Solution

STEP 0: Pre-Calculation Summary
Formula Used
Machining Time = Machining and Operating Cost of Each Product/(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life))
tm = Cm1/(M+(Q*(M*tc+Ct)/T))
This formula uses 7 Variables
Variables Used
Machining Time - (Measured in Second) - 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.
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.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
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.
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.
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
STEP 1: Convert Input(s) to Base Unit
Machining and Operating Cost of Each Product: 4650.5 --> No Conversion Required
Machining and Operating Rate: 101 --> No Conversion Required
Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Time to Change One Tool: 1.25 Minute --> 75 Second (Check conversion ​here)
Cost of a Tool: 100 --> No Conversion Required
Tool Life: 75 Minute --> 4500 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tm = Cm1/(M+(Q*(M*tc+Ct)/T)) --> 4650.5/(101+(0.5*(101*75+100)/4500))
Evaluating ... ...
tm = 45.6590394632776
STEP 3: Convert Result to Output's Unit
45.6590394632776 Second -->0.760983991054627 Minute (Check conversion ​here)
FINAL ANSWER
0.760983991054627 0.760984 Minute <-- Machining Time
(Calculation completed in 00.004 seconds)

Credits

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

Tool Changing Time for 1 Tool given Machining Cost
​ Go Time to Change One Tool = ((Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of a Tool)/Machining and Operating Rate
Cost of 1 Tool given Machining Cost
​ Go Cost of a Tool = (Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-(Machining and Operating Rate*Time to Change One Tool)
Time Proportion of Cutting Edge Engagement given Machining Cost
​ Go 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)
Machining Time per component given Machining Cost
​ Go Machining Time = Machining and Operating Cost of Each Product/(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life))
Tool Life of One Tool given Machining Cost
​ Go Tool Life = Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)
Machining Cost per component
​ Go Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life))
Tool Changing Cost per Tool given Machining Cost
​ Go Cost of changing each Tool = (Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of a Tool
Machining Cost given Tool Changing Cost per Tool
​ Go Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)/Tool Life))
Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost
​ Go Time Proportion of Cutting Edge Engagement = 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)))
Cost of 1 Tool given Tool Life for Minimum Machining Cost
​ Go Cost of a Tool = ((Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-Time to Change One Tool)*Machining and Operating Rate
Minimum Cost of Machining per component
​ Go Machining and Operating Cost of Each Product = Machining and Operating Rate*Machining Time for Minimum Cost/(1-Taylor's Tool Life Exponent)
Constant for Machining Operation of one product given Machining Condition
​ Go Constant For Machining Condition = Machining Time*Cutting Velocity
Cutting Velocity of one product given Constant for Machining Operation
​ Go Cutting Velocity = Constant For Machining Condition/Machining Time
Machining Time of one product given Constant for Machining Operation
​ Go Machining Time = Constant For Machining Condition/Cutting Velocity

Machining Time per component given Machining Cost Formula

Machining Time = Machining and Operating Cost of Each Product/(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life))
tm = Cm1/(M+(Q*(M*tc+Ct)/T))

Importance of Production Time

The Production time and its proper estimation are of great help in determining:
1. Manufacturing Costs
2. Machine Work Loads
3. Personel Needs
4. Delivery Time

How to Calculate Machining Time per component given Machining Cost?

Machining Time per component given Machining Cost calculator uses Machining Time = Machining and Operating Cost of Each Product/(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life)) to calculate the Machining Time, The Machining Time per component given Machining Cost is a method to determine the maximum time that can be given to a single component on one or more machines for production, based on the cost of machining of a single component. Machining Time is denoted by tm symbol.

How to calculate Machining Time per component given Machining Cost using this online calculator? To use this online calculator for Machining Time per component given Machining Cost, enter Machining and Operating Cost of Each Product (Cm1), Machining and Operating Rate (M), Time Proportion of Cutting Edge Engagement (Q), Time to Change One Tool (tc), Cost of a Tool (Ct) & Tool Life (T) and hit the calculate button. Here is how the Machining Time per component given Machining Cost calculation can be explained with given input values -> 0.012376 = 4650.5/(101+(0.5*(101*75+100)/4500)).

FAQ

What is Machining Time per component given Machining Cost?
The Machining Time per component given Machining Cost is a method to determine the maximum time that can be given to a single component on one or more machines for production, based on the cost of machining of a single component and is represented as tm = Cm1/(M+(Q*(M*tc+Ct)/T)) or Machining Time = Machining and Operating Cost of Each Product/(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life)). Machining and Operating Cost of Each Product is the total amount of money required to machine a single product, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, 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, 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 & Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
How to calculate Machining Time per component given Machining Cost?
The Machining Time per component given Machining Cost is a method to determine the maximum time that can be given to a single component on one or more machines for production, based on the cost of machining of a single component is calculated using Machining Time = Machining and Operating Cost of Each Product/(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life)). To calculate Machining Time per component given Machining Cost, you need Machining and Operating Cost of Each Product (Cm1), Machining and Operating Rate (M), Time Proportion of Cutting Edge Engagement (Q), Time to Change One Tool (tc), Cost of a Tool (Ct) & Tool Life (T). With our tool, you need to enter the respective value for Machining and Operating Cost of Each Product, Machining and Operating Rate, Time Proportion of Cutting Edge Engagement, Time to Change One Tool, Cost of a Tool & 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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