Diameter of workpiece terms of Machining time for maximum power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut)
dw = (tmaxp*Pm)/(ps*pi*L*dcut)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
Machining Time for Maximum Power - (Measured in Second) - Machining Time for Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.
Power Available for Machining - (Measured in Watt) - Power Available for Machining is defined as the amount of power available during the machining process.
Specific Cutting Energy in Machining - (Measured in Joule per Cubic Meter) - Specific Cutting Energy in Machining is the energy consumed to remove a unit volume of material, which is calculated as the ratio of cutting energy E to material removal volume V.
Length of Workpiece - (Measured in Meter) - Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut.
Depth of Cut - (Measured in Meter) - Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
STEP 1: Convert Input(s) to Base Unit
Machining Time for Maximum Power: 48.925 Second --> 48.925 Second No Conversion Required
Power Available for Machining: 11.2 Kilowatt --> 11200 Watt (Check conversion here)
Specific Cutting Energy in Machining: 3000 Megajoule per Cubic Meter --> 3000000000 Joule per Cubic Meter (Check conversion here)
Length of Workpiece: 254 Millimeter --> 0.254 Meter (Check conversion here)
Depth of Cut: 2.99 Millimeter --> 0.00299 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dw = (tmaxp*Pm)/(ps*pi*L*dcut) --> (48.925*11200)/(3000000000*pi*0.254*0.00299)
Evaluating ... ...
dw = 0.0765548702294042
STEP 3: Convert Result to Output's Unit
0.0765548702294042 Meter -->76.5548702294042 Millimeter (Check conversion here)
FINAL ANSWER
76.5548702294042 76.55487 Millimeter <-- Diameter of Workpiece
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
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24 Machining Calculators

Machining and Operating Rate given Machining Cost for Maximum Power
Go Machining and Operating Rate = ((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-(Time Proportion of Cutting Edge Engagement*Cost of a Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool/Tool Life)+1)
Machining Rate given Machining Cost for Maximum Power with limited Cutting Speed
Go Machining and Operating Rate = Machining and Operating Cost of Each Product/(((((Machining Time for Minimum Cost/Machining Time for Maximum Power)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Power)
Constant for machine type b given Machining time for maximum power
Go Constant for Tool Type(b) = 1-(ln(Density of work piece*Constant for Tool Type(a)*Machining Time for Maximum Power)-ln(Proportion of Initial Volume*Specific Cutting Energy in Machining))/ln(Initial Work Piece Weight)
Number of shifts given Total rate for Machining and Operator
Go Number of Shifts = (Factor to allow for Machining*Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))/((Total Rate of Machining and Operator-(Factor to allow for Operator*Direct Labor Rate))*(2*Amortized Years))
Factor to allow for Machining overheads given Total rate for Machining and Operator
Go Factor to allow for Machining = (Total Rate of Machining and Operator-(Factor to allow for Operator*Direct Labor Rate))*(2*Amortized Years*Number of Shifts)/(Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))
Factor to allow for Operator overheads given Total rate for Machining and Operator
Go Factor to allow for Operator = (Total Rate of Machining and Operator-((Factor to allow for Machining*Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))/(2*Amortized Years*Number of Shifts)))/Direct Labor Rate
Direct labour Rate given Total rate for Machining and Operator
Go Direct Labor Rate = (Total Rate of Machining and Operator-((Factor to allow for Machining*Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))/(2*Amortized Years*Number of Shifts)))/Factor to allow for Operator
Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost
Go Time Proportion of Cutting Edge Engagement = Tool Life*((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-Machining and Operating Rate)/(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)
Initial weight of workpiece given Machining time for maximum power
Go Initial Work Piece Weight = ((Density of work piece*Constant for Tool Type(a)*Machining Time for Maximum Power)/(Proportion of Initial Volume*Specific Cutting Energy in Machining))^(1/(1-Constant for Tool Type(b)))
Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece
Go Proportion of Initial Volume = (Machining Time for Maximum Power*Density of work piece*Constant for Tool Type(a))/(Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))
Machining time for maximum power given Initial weight of workpiece
Go Machining Time for Maximum Power = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))/(Density of work piece*Constant for Tool Type(a))
Constant for machine type given Machining time for maximum power
Go Constant for Tool Type(a) = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))/(Density of work piece*Machining Time for Maximum Power)
Specific cutting energy given Initial weight of workpiece
Go Specific Cutting Energy in Machining = (Machining Time for Maximum Power*Density of work piece*Constant for Tool Type(a))/(Proportion of Initial Volume*Initial Work Piece Weight^(1-Constant for Tool Type(b)))
Density of Workpiece given Initial weight of workpiece
Go Density of work piece = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))/(Machining Time for Maximum Power*Constant for Tool Type(a))
Length of Workpiece given Machining time for maximum power
Go Length of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Diameter of Workpiece*Depth of Cut)
Depth of cut given Machining time for maximum power
Go Depth of Cut = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Diameter of Workpiece)
Diameter of workpiece terms of Machining time for maximum power
Go Diameter of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut)
Length of Workpiece given Surface Generation rate
Go Length of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Diameter of Workpiece)
Diameter of Workpiece given Surface Generation rate
Go Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece)
Volume of material to be removed given Machining time for maximum power
Go Volume of Work Material Removed = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining)
Machining Time for Minimum Cost given Surface Generation rate
Go Machining Time for Minimum Cost = (Surface Area of Workpiece)/Surface Generation Rate
Surface area of Workpiece given Surface Generation rate
Go Surface Area of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)
Surface Generation Rate
Go Surface Generation Rate = (Surface Area of Workpiece)/Machining Time for Minimum Cost
Length-to-diameter Ratio in terms Initial weight of workpiece
Go Length to Diameter Ratio = 1.26/(Initial Work Piece Weight^0.29)

Diameter of workpiece terms of Machining time for maximum power Formula

Diameter of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut)
dw = (tmaxp*Pm)/(ps*pi*L*dcut)

What is turning used to make?

Turning is used to produce rotational, typically axisymmetric, parts that have many features, such as holes, grooves, threads, tapers, various diameter steps, and even contoured surfaces.

How to Calculate Diameter of workpiece terms of Machining time for maximum power?

Diameter of workpiece terms of Machining time for maximum power calculator uses Diameter of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut) to calculate the Diameter of Workpiece, The Diameter of workpiece terms of Machining time for maximum power is defined as the diameter of the workpiece which is undergoing turning operation. Diameter of Workpiece is denoted by dw symbol.

How to calculate Diameter of workpiece terms of Machining time for maximum power using this online calculator? To use this online calculator for Diameter of workpiece terms of Machining time for maximum power, enter Machining Time for Maximum Power (tmaxp), Power Available for Machining (Pm), Specific Cutting Energy in Machining (ps), Length of Workpiece (L) & Depth of Cut (dcut) and hit the calculate button. Here is how the Diameter of workpiece terms of Machining time for maximum power calculation can be explained with given input values -> 76554.87 = (48.925*11200)/(3000000000*pi*0.254*0.00299).

FAQ

What is Diameter of workpiece terms of Machining time for maximum power?
The Diameter of workpiece terms of Machining time for maximum power is defined as the diameter of the workpiece which is undergoing turning operation and is represented as dw = (tmaxp*Pm)/(ps*pi*L*dcut) or Diameter of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut). Machining Time for Maximum Power is the time for processing when the workpiece is machined under maximum power conditions, Power Available for Machining is defined as the amount of power available during the machining process, Specific Cutting Energy in Machining is the energy consumed to remove a unit volume of material, which is calculated as the ratio of cutting energy E to material removal volume V, Length of Workpiece is the measurement or extent of Workpiece from end to end in the direction of Cut & Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
How to calculate Diameter of workpiece terms of Machining time for maximum power?
The Diameter of workpiece terms of Machining time for maximum power is defined as the diameter of the workpiece which is undergoing turning operation is calculated using Diameter of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut). To calculate Diameter of workpiece terms of Machining time for maximum power, you need Machining Time for Maximum Power (tmaxp), Power Available for Machining (Pm), Specific Cutting Energy in Machining (ps), Length of Workpiece (L) & Depth of Cut (dcut). With our tool, you need to enter the respective value for Machining Time for Maximum Power, Power Available for Machining, Specific Cutting Energy in Machining, Length of Workpiece & Depth of Cut and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diameter of Workpiece?
In this formula, Diameter of Workpiece uses Machining Time for Maximum Power, Power Available for Machining, Specific Cutting Energy in Machining, Length of Workpiece & Depth of Cut. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece)
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