Constant for machine type given Machining time for maximum power Formula

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Constant For Tool Type(a) is defined as the constant for the type of material used in the tool. Check FAQs
a=V0psW1-bρtp
a - Constant For Tool Type(a)?V0 - Proportion of Initial Volume?ps - Specific Cutting Energy in Machining?W - Initial Work Piece Weight?b - Constant For Tool Type(b)?ρ - Density of Work Piece?tp - Machining Time For Maximum Power?

Constant for machine type given Machining time for maximum power Example

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Here is how the Constant for machine type given Machining time for maximum power equation looks like with Values.

Here is how the Constant for machine type given Machining time for maximum power equation looks like with Units.

Here is how the Constant for machine type given Machining time for maximum power equation looks like.

2.9Edit=0.0001Edit3000.487Edit12.8Edit1-0.53Edit7850Edit48.925Edit
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Constant for machine type given Machining time for maximum power Solution

Follow our step by step solution on how to calculate Constant for machine type given Machining time for maximum power?

FIRST Step Consider the formula
a=V0psW1-bρtp
Next Step Substitute values of Variables
a=0.00013000.487MJ/m³12.8kg1-0.537850kg/m³48.925s
Next Step Convert Units
a=0.00013E+9J/m³12.8kg1-0.537850kg/m³48.925s
Next Step Prepare to Evaluate
a=0.00013E+912.81-0.53785048.925
LAST Step Evaluate
a=2.9

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

Variables
Constant For Tool Type(a)
Constant For Tool Type(a) is defined as the constant for the type of material used in the tool.
Symbol: a
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
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.
Symbol: V0
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Specific Cutting Energy in 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.
Symbol: ps
Measurement: Energy DensityUnit: MJ/m³
Note: Value should be greater than 0.
Initial Work Piece Weight
Initial Work Piece Weight is defined as the weight of the work piece before undergoing machining operation.
Symbol: W
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Constant For Tool Type(b)
Constant For Tool Type(b) is defined as the constant for the type of material used in the tool.
Symbol: b
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Density of Work Piece
The Density of Work Piece is the mass per unit volume ratio of the material of workpiece.
Symbol: ρ
Measurement: DensityUnit: kg/m³
Note: Value should be greater than 0.
Machining Time For Maximum Power
Machining Time For Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.
Symbol: tp
Measurement: TimeUnit: s
Note: Value should be greater than 0.

Other formulas in Machining Time category

​Go Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost
Q=T(Cmtp)-MMtc+Ct
​Go Machining Time for Maximum Power given Machining Cost
tp=CmM+(QMtc+CtT)

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

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

How to evaluate Constant for machine type given Machining time for maximum power using this online evaluator? To use this online evaluator for Constant for machine type given Machining time for maximum power, enter Proportion of Initial Volume (V0), Specific Cutting Energy in Machining (ps), Initial Work Piece Weight (W), Constant For Tool Type(b) (b), Density of Work Piece (ρ) & Machining Time For Maximum Power (tp) and hit the calculate button.

FAQs on Constant for machine type given Machining time for maximum power

What is the formula to find Constant for machine type given Machining time for maximum power?
The formula of Constant for machine type given Machining time for maximum power is expressed as 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). Here is an example- 2.900006 = (0.000112*3000487000*12.79999^(1-0.529999827884223))/(7850*48.925).
How to calculate Constant for machine type given Machining time for maximum power?
With Proportion of Initial Volume (V0), Specific Cutting Energy in Machining (ps), Initial Work Piece Weight (W), Constant For Tool Type(b) (b), Density of Work Piece (ρ) & Machining Time For Maximum Power (tp) we can find Constant for machine type given Machining time for maximum power using the formula - 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).
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