Length of Workpiece given Surface Generation rate Formula

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Length of Workpiece For Surface Generation is the measurement or extent of workpiece from end to end in the direction of cut. Check FAQs
Ls=tmcRsgπdw
Ls - Length of Workpiece For Surface Generation?tmc - Machining Time For Minimum Cost?Rsg - Surface Generation Rate?dw - Diameter of Workpiece?π - Archimedes' constant?

Length of Workpiece given Surface Generation rate Example

With values
With units
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Here is how the Length of Workpiece given Surface Generation rate equation looks like with Values.

Here is how the Length of Workpiece given Surface Generation rate equation looks like with Units.

Here is how the Length of Workpiece given Surface Generation rate equation looks like.

240.4339Edit=53.13Edit1083.33Edit3.141676.2Edit
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Length of Workpiece given Surface Generation rate Solution

Follow our step by step solution on how to calculate Length of Workpiece given Surface Generation rate?

FIRST Step Consider the formula
Ls=tmcRsgπdw
Next Step Substitute values of Variables
Ls=53.13s1083.33mm²/sπ76.2mm
Next Step Substitute values of Constants
Ls=53.13s1083.33mm²/s3.141676.2mm
Next Step Convert Units
Ls=53.13s0.0011m²/s3.14160.0762m
Next Step Prepare to Evaluate
Ls=53.130.00113.14160.0762
Next Step Evaluate
Ls=0.240433922589799m
Next Step Convert to Output's Unit
Ls=240.433922589799mm
LAST Step Rounding Answer
Ls=240.4339mm

Length of Workpiece given Surface Generation rate Formula Elements

Variables
Constants
Length of Workpiece For Surface Generation
Length of Workpiece For Surface Generation is the measurement or extent of workpiece from end to end in the direction of cut.
Symbol: Ls
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Machining Time For Minimum Cost
Machining Time for Minimum Cost is the time for processing when the workpiece is machined to obtain the minimum cost of machining.
Symbol: tmc
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Surface Generation Rate
Surface Generation Rate is defined as the constant for every material of the workpiece.
Symbol: Rsg
Measurement: Kinematic ViscosityUnit: mm²/s
Note: Value should be greater than 0.
Diameter of Workpiece
Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
Symbol: dw
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

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)
​Go Machining Time for optimum speed for Maximum Power given Machining Cost
tmc=tp(((CmMtp)-1)1-nn)n
​Go Machining Time for Minimum Cost given Surface Generation rate
tmin=AmRsg

How to Evaluate Length of Workpiece given Surface Generation rate?

Length of Workpiece given Surface Generation rate evaluator uses Length of Workpiece For Surface Generation = (Machining Time For Minimum Cost*Surface Generation Rate)/(pi*Diameter of Workpiece) to evaluate the Length of Workpiece For Surface Generation, The Length of Workpiece given Surface Generation rate formula is used to find the measurement or extent of the Workpiece from end to end in the direction of cut. Length of Workpiece For Surface Generation is denoted by Ls symbol.

How to evaluate Length of Workpiece given Surface Generation rate using this online evaluator? To use this online evaluator for Length of Workpiece given Surface Generation rate, enter Machining Time For Minimum Cost (tmc), Surface Generation Rate (Rsg) & Diameter of Workpiece (dw) and hit the calculate button.

FAQs on Length of Workpiece given Surface Generation rate

What is the formula to find Length of Workpiece given Surface Generation rate?
The formula of Length of Workpiece given Surface Generation rate is expressed as Length of Workpiece For Surface Generation = (Machining Time For Minimum Cost*Surface Generation Rate)/(pi*Diameter of Workpiece). Here is an example- 240433.9 = (53.13*0.00108333)/(pi*0.0762).
How to calculate Length of Workpiece given Surface Generation rate?
With Machining Time For Minimum Cost (tmc), Surface Generation Rate (Rsg) & Diameter of Workpiece (dw) we can find Length of Workpiece given Surface Generation rate using the formula - Length of Workpiece For Surface Generation = (Machining Time For Minimum Cost*Surface Generation Rate)/(pi*Diameter of Workpiece). This formula also uses Archimedes' constant .
Can the Length of Workpiece given Surface Generation rate be negative?
No, the Length of Workpiece given Surface Generation rate, measured in Length cannot be negative.
Which unit is used to measure Length of Workpiece given Surface Generation rate?
Length of Workpiece given Surface Generation rate is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Workpiece given Surface Generation rate can be measured.
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