Constant for machine type b given Machining time for maximum power Calculator

✖The Density of work piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Work Piece [ρ_{work piece}]			+10% -10%
✖Constant for tool type(a) is defined as the constant for the type of material used in the tool.ⓘ Constant For Tool Type(a) [a]			+10% -10%
✖Machining Time For Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.ⓘ Machining Time For Maximum Power [tmax_p]			+10% -10%
✖The Proportion of Initial Volume or Weight is the proportion of initial volume or initial weight to be removed by machining.ⓘ Proportion of Initial Volume [r₀]			+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%
✖The Initial work piece weight is defined as the weight of the work piece before undergoing machining operation.ⓘ Initial Work Piece Weight [W]			+10% -10%

✖Constant for tool type(b) is defined as the constant for the type of material used in the tool.ⓘ Constant for machine type b given Machining time for maximum power [b]

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Constant for machine type b given Machining time for maximum power

Formula

`"b" = 1-(ln("ρ"_{"work piece"}*"a"*"tmax"_{"p"})-ln("r"_{"0"}*"p"_{"s"}))/ln("W")`

Example

`"0.53"=1-(ln("7850kg/m³"*"2.9"*"48.925s")-ln("0.000112"*"3000.487MJ/m³"))/ln("12.79999kg")`

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Constant for machine type b given Machining time for maximum power Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
b = 1-(ln(ρ_{work piece}*a*tmax_p)-ln(r₀*p_s))/ln(W)
This formula uses 1 Functions, 7 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Constant For Tool Type(b) - Constant for tool type(b) is defined as the constant for the type of material used in the tool.
Density of Work Piece - (Measured in Kilogram per Cubic Meter) - The Density of work piece is the mass per unit volume ratio of the material of workpiece.
Constant For Tool Type(a) - Constant for tool type(a) is defined as the constant for the type of material used in the tool.
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.
Proportion of Initial Volume - The Proportion of Initial Volume or Weight is the proportion of initial volume or initial weight to be removed by machining.
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.
Initial Work Piece Weight - (Measured in Kilogram) - The Initial work piece weight is defined as the weight of the work piece before undergoing machining operation.

STEP 1: Convert Input(s) to Base Unit

Density of Work Piece: 7850 Kilogram per Cubic Meter --> 7850 Kilogram per Cubic Meter No Conversion Required
Constant For Tool Type(a): 2.9 --> No Conversion Required
Machining Time For Maximum Power: 48.925 Second --> 48.925 Second No Conversion Required
Proportion of Initial Volume: 0.000112 --> No Conversion Required
Specific Cutting Energy in Machining: 3000.487 Megajoule per Cubic Meter --> 3000487000 Joule per Cubic Meter (Check conversion here)
Initial Work Piece Weight: 12.79999 Kilogram --> 12.79999 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 1-(ln(ρ_{work piece}*a*tmax_p)-ln(r₀*p_s))/ln(W) --> 1-(ln(7850*2.9*48.925)-ln(0.000112*3000487000))/ln(12.79999)

Evaluating ... ...

b = 0.529999827884223

STEP 3: Convert Result to Output's Unit

0.529999827884223 --> No Conversion Required

FINAL ANSWER

0.529999827884223 ≈ 0.53 <-- Constant For Tool Type(b)

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Srinagar

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< 19 Machining Time Calculators

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)

Machining Time for optimum speed for Maximum Power given Machining Cost

Go Machining Time For Minimum Cost = Machining Time For Maximum Power*((((Machining and Operating Cost of Each Product/(Machining and Operating Rate*Machining Time For Maximum Power))-1)*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)^Taylor's Tool Life Exponent)

Tool Changing Time for 1 Tool given Machining Cost for Maximum Power

Go Time to Change One Tool = ((Tool Life*((Machining and Operating Cost of Each Product/Machining Time For Maximum Power)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of A Tool)/Machining and Operating Rate

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)

Tool Life for Maximum Power delivery given Machining Cost for Maximum Power

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 For Maximum Power)-Machining and Operating Rate)

Machining Time for Maximum Power given Machining Cost

Go Machining Time For Maximum Power = 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 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)

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)

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 given Surface Generation rate

Go Diameter of Workpiece For Surface Generation = (Machining Time For Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece)

Length of Workpiece given Surface Generation rate

Go Length of Workpiece For Surface Generation = (Machining Time For Minimum Cost*Surface Generation Rate)/(pi*Diameter of Workpiece)

Power available for Machining given Machining time for maximum power

Go Power Available For Machining For Maximum Power = (60*Volume of Work Material Removed*Specific Cutting Energy in Machining)/Machining Time For Maximum Power

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)

Specific cutting energy given Machining time for maximum power

Go Specific Cutting Energy in Machining = (Machining Time For Maximum Power*Power Available For Machining)/(Volume of Work Material Removed)

Machining time for maximum power in Turning

Go Machining Time For Maximum Power = (Volume of Work Material Removed*Specific Cutting Energy in Machining)/Power Available For Machining

Surface Generation Rate

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

Machining Time for Minimum Cost given Surface Generation rate

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

Machining time under Max power for free machining

Go Machining Time For Free Machining = 49.9*Initial Work Piece Weight^0.47

Constant for machine type b given Machining time for maximum power Formula

What are the different types of machining processes?

The three principal machining processes are classified as turning, drilling and milling. Other operations falling into miscellaneous categories include shaping, planning, boring, broaching, and sawing.

How to Calculate Constant for machine type b given Machining time for maximum power?

Constant for machine type b given Machining time for maximum power calculator uses 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) to calculate the Constant For Tool Type(b), The Constant for machine type b given Machining time for maximum power is defined as the constant for the type of material used in the tool. Constant For Tool Type(b) is denoted by b symbol.

How to calculate Constant for machine type b given Machining time for maximum power using this online calculator? To use this online calculator for Constant for machine type b given Machining time for maximum power, enter Density of Work Piece (ρ_{work piece}), Constant For Tool Type(a) (a), Machining Time For Maximum Power (tmax_p), Proportion of Initial Volume (r₀), Specific Cutting Energy in Machining (p_s) & Initial Work Piece Weight (W) and hit the calculate button. Here is how the Constant for machine type b given Machining time for maximum power calculation can be explained with given input values -> 0.53 = 1-(ln(7850*2.9*48.925)-ln(0.000112*3000487000))/ln(12.79999).

FAQ

What is Constant for machine type b given Machining time for maximum power?

The Constant for machine type b given Machining time for maximum power is defined as the constant for the type of material used in the tool and is represented as b = 1-(ln(ρ_{work piece}*a*tmax_p)-ln(r₀*p_s))/ln(W) or 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). The Density of work piece is the mass per unit volume ratio of the material of workpiece, Constant for tool type(a) is defined as the constant for the type of material used in the tool, Machining Time For Maximum Power is the time for processing when the workpiece is machined under maximum power conditions, The Proportion of Initial Volume or Weight is the proportion of initial volume or initial weight to be removed by machining, 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 & The Initial work piece weight is defined as the weight of the work piece before undergoing machining operation.

How to calculate Constant for machine type b given Machining time for maximum power?

The Constant for machine type b given Machining time for maximum power is defined as the constant for the type of material used in the tool is calculated using 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). To calculate Constant for machine type b given Machining time for maximum power, you need Density of Work Piece (ρ_{work piece}), Constant For Tool Type(a) (a), Machining Time For Maximum Power (tmax_p), Proportion of Initial Volume (r₀), Specific Cutting Energy in Machining (p_s) & Initial Work Piece Weight (W). With our tool, you need to enter the respective value for Density of Work Piece, Constant For Tool Type(a), Machining Time For Maximum Power, Proportion of Initial Volume, Specific Cutting Energy in Machining & Initial Work Piece Weight 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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