Constant for machine type b given Power available for Machining Calculator

✖Power Available for Machining is defined as the amount of power available during the machining process.ⓘ Power Available For Machining [P_m]			+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%
✖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 Power available for Machining [b]

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Formula

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Constant for machine type b given Power available for Machining

Formula

`"b" = (ln("P"_{"m"}/"a"))/(ln("W"))`

Example

`"0.529999"=(ln("11.20kW"/"2.9"))/(ln("12.8kg"))`

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Constant for machine type b given Power available for Machining Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant For Tool Type(b) = (ln(Power Available For Machining/Constant For Tool Type(a)))/(ln(Initial Work Piece Weight))
b = (ln(P_m/a))/(ln(W))
This formula uses 1 Functions, 4 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.
Power Available For Machining - (Measured in Kilowatt) - Power Available for Machining is defined as the amount of power available during the machining process.
Constant For Tool Type(a) - Constant for tool type(a) is defined as the constant for the type of material used in the tool.
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

Power Available For Machining: 11.2 Kilowatt --> 11.2 Kilowatt No Conversion Required
Constant For Tool Type(a): 2.9 --> No Conversion Required
Initial Work Piece Weight: 12.8 Kilogram --> 12.8 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (ln(P_m/a))/(ln(W)) --> (ln(11.2/2.9))/(ln(12.8))

Evaluating ... ...

b = 0.529998862779257

STEP 3: Convert Result to Output's Unit

0.529998862779257 --> No Conversion Required

FINAL ANSWER

0.529998862779257 ≈ 0.529999 <-- Constant For Tool Type(b)

(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Srinagar

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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))

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))

Power available for Machining given Initial weight of workpiece

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

Initial weight of workpiece given Cost of Machine tool

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

Surface area of Workpiece given Surface Generation rate

Go Surface Area of Workpiece = (Machining 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 = (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)

Constant for machine type b given Power available for Machining Formula

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

What are the 7 basic types of machine tools?

They retain the basic characteristics of their 19th- and early 20th-century ancestors and are still classed as one of the following: (1) turning machines (lathes and boring mills), (2) shapers and planers, (3) drilling machines, (4) milling machines, (5) grinding machines, (6) power saws, and (7) presses.

How to Calculate Constant for machine type b given Power available for Machining?

Constant for machine type b given Power available for Machining calculator uses Constant For Tool Type(b) = (ln(Power Available For Machining/Constant For Tool Type(a)))/(ln(Initial Work Piece Weight)) to calculate the Constant For Tool Type(b), The Constant for machine type b given Power available for Machining 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 Power available for Machining using this online calculator? To use this online calculator for Constant for machine type b given Power available for Machining, enter Power Available For Machining (P_m), Constant For Tool Type(a) (a) & Initial Work Piece Weight (W) and hit the calculate button. Here is how the Constant for machine type b given Power available for Machining calculation can be explained with given input values -> 0.529999 = (ln(11200/2.9))/(ln(12.8)).

FAQ

What is Constant for machine type b given Power available for Machining?

The Constant for machine type b given Power available for Machining is defined as the constant for the type of material used in the tool and is represented as b = (ln(P_m/a))/(ln(W)) or Constant For Tool Type(b) = (ln(Power Available For Machining/Constant For Tool Type(a)))/(ln(Initial Work Piece Weight)). Power Available for Machining is defined as the amount of power available during the machining process, Constant for tool type(a) is defined as the constant for the type of material used in the tool & 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 Power available for Machining?

The Constant for machine type b given Power available for Machining is defined as the constant for the type of material used in the tool is calculated using Constant For Tool Type(b) = (ln(Power Available For Machining/Constant For Tool Type(a)))/(ln(Initial Work Piece Weight)). To calculate Constant for machine type b given Power available for Machining, you need Power Available For Machining (P_m), Constant For Tool Type(a) (a) & Initial Work Piece Weight (W). With our tool, you need to enter the respective value for Power Available For Machining, Constant For Tool Type(a) & 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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