Length of Workpiece given Machining time for maximum power Calculator

✖Machining Time For Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.ⓘ Machining Time For Maximum Power [t_p]			+10% -10%
✖Power Available for Machining is defined as the amount of power available during the machining process.ⓘ Power Available For Machining [P_m]			+10% -10%
✖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.ⓘ Specific Cutting Energy in Machining [p_s]			+10% -10%
✖Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.ⓘ Diameter of Workpiece [d_w]			+10% -10%
✖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.ⓘ Depth of Cut [d_cut]			+10% -10%

✖Length of Workpiece is the measurement or extent of workpiece from end to end in the direction of cut.ⓘ Length of Workpiece given Machining time for maximum power [L]

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Length of Workpiece given Machining time for maximum power

Formula

`"L" = ("t"_{"p"}*"P"_{"m"})/("p"_{"s"}*pi*"d"_{"w"}*"d"_{"cut"})`

Example

`"255.1415mm"=("48.925s"*"11.20kW")/("3000.487MJ/m³"*pi*"76.20mm"*"2.99mm")`

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Length of Workpiece given Machining time for maximum power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Diameter of Workpiece*Depth of Cut)
L = (t_p*P_m)/(p_s*pi*d_w*d_cut)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Diameter of Workpiece - (Measured in Meter) - Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
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: 3000.487 Megajoule per Cubic Meter --> 3000487000 Joule per Cubic Meter (Check conversion here)
Diameter of Workpiece: 76.2 Millimeter --> 0.0762 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

L = (t_p*P_m)/(p_s*pi*d_w*d_cut) --> (48.925*11200)/(3000487000*pi*0.0762*0.00299)

Evaluating ... ...

L = 0.255141482797307

STEP 3: Convert Result to Output's Unit

0.255141482797307 Meter -->255.141482797307 Millimeter (Check conversion here)

FINAL ANSWER

255.141482797307 ≈ 255.1415 Millimeter <-- Length of Workpiece

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Design for Machining » Theory of Maximum Power » Initial Weight of Workpiece » Length of Workpiece given Machining time for maximum power

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Osmania University (OU), Hyderabad

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< 19 Initial Weight of Workpiece Calculators

Initial weight of workpiece given Total rate for Machining and Operator

Go Initial Work Piece Weight = ((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)*Factor to Allow For Machining))^(1/Constant for Tool Type(f))

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

Total rate for Machining and Operator

Go 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*Direct Labor Rate)

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)))

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)

Constant for machine type b given Power available for Machining

Go Constant For Tool Type(b) = (ln(Power Available For Machining/Constant For Tool Type(a)))/(ln(Initial Work Piece Weight))

Power available for Machining given Initial weight of workpiece

Go Power Available For Machining = Constant Power For Tool Type(a)*(Initial Work Piece Weight)^Constant For Tool Type(b)

Initial weight of workpiece given Cost of Machine tool

Go Initial Work Piece Weight For Machine Tool = (Cost of A Tool/Constant For Tool Type(e))^(1/Constant for Tool Type(f))

Initial weight of workpiece given Power available for Machining

Go Initial Work Piece Weight = (Power Available For Machining/Constant For Tool Type(a))^(1/Constant For Tool Type(b))

Constant for machine type given Power available for Machining

Go Constant For Tool Type(a) = Power Available For Machining/(Initial Work Piece Weight)^Constant For Tool Type(b)

Loading and Unloading time given initial weight of workpiece

Go Loading And Unloading Time = Constant For Tool Type(c)+(Constant For Tool Type(d)*Initial Work Piece Weight)

Initial weight of workpiece given Loading and Unloading time

Go Initial Work Piece Weight = (Loading And Unloading Time-Constant For Tool Type(c))/Constant For Tool Type(d)

Surface area of Workpiece given Surface Generation rate

Go Surface Area of Workpiece = (Machining Surface Generation Time For Minimum Cost*Surface Generation Rate)

Initial weight of workpiece given Machining time under Max power for free machining

Go Initial Work Piece Weight For Free Machining = (Machining Time For Maximum Power/49.9)^(1/0.47)

Initial weight of workpiece given Length-to-diameter Ratio

Go Initial Work Piece Weight = (1.26/Length to Diameter Ratio)^(1/0.29)

Length-to-diameter Ratio in terms Initial weight of workpiece

Go Length to Diameter Ratio = 1.26/(Initial Work Piece Weight^0.29)

Length of Workpiece given Machining time for maximum power Formula

Length of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Diameter of Workpiece*Depth of Cut)
L = (t_p*P_m)/(p_s*pi*d_w*d_cut)

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 Length of Workpiece given Machining time for maximum power?

Length of Workpiece given Machining time for maximum power calculator uses Length of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Diameter of Workpiece*Depth of Cut) to calculate the Length of Workpiece, The Length of Workpiece given Machining time for maximum power is the measurement or extent of the Workpiece from end to end in the direction of Cut. Length of Workpiece is denoted by L symbol.

How to calculate Length of Workpiece given Machining time for maximum power using this online calculator? To use this online calculator for Length of Workpiece given Machining time for maximum power, enter Machining Time For Maximum Power (t_p), Power Available For Machining (P_m), Specific Cutting Energy in Machining (p_s), Diameter of Workpiece (d_w) & Depth of Cut (d_cut) and hit the calculate button. Here is how the Length of Workpiece given Machining time for maximum power calculation can be explained with given input values -> 255141.5 = (48.925*11200)/(3000487000*pi*0.0762*0.00299).

FAQ

What is Length of Workpiece given Machining time for maximum power?

The Length of Workpiece given Machining time for maximum power is the measurement or extent of the Workpiece from end to end in the direction of Cut and is represented as L = (t_p*P_m)/(p_s*pi*d_w*d_cut) or Length of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Diameter 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, Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding & 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 Length of Workpiece given Machining time for maximum power?

The Length of Workpiece given Machining time for maximum power is the measurement or extent of the Workpiece from end to end in the direction of Cut is calculated using Length of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Diameter of Workpiece*Depth of Cut). To calculate Length of Workpiece given Machining time for maximum power, you need Machining Time For Maximum Power (t_p), Power Available For Machining (P_m), Specific Cutting Energy in Machining (p_s), Diameter of Workpiece (d_w) & Depth of Cut (d_cut). 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, Diameter 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.

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