Diameter of Workpiece given Surface Generation rate Formula

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Diameter of Workpiece For Surface Generation is defined as the diameter of the workpiece which is undergoing grinding. Check FAQs
ds=tmcRsgπL
ds - Diameter of Workpiece For Surface Generation?tmc - Machining Time For Minimum Cost?Rsg - Surface Generation Rate?L - Length of Workpiece?π - Archimedes' constant?

Diameter of Workpiece given Surface Generation rate Example

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

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

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

71.8075Edit=53.13Edit1083.33Edit3.1416255.1415Edit
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Diameter of Workpiece given Surface Generation rate Solution

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

FIRST Step Consider the formula
ds=tmcRsgπL
Next Step Substitute values of Variables
ds=53.13s1083.33mm²/sπ255.1415mm
Next Step Substitute values of Constants
ds=53.13s1083.33mm²/s3.1416255.1415mm
Next Step Convert Units
ds=53.13s0.0011m²/s3.14160.2551m
Next Step Prepare to Evaluate
ds=53.130.00113.14160.2551
Next Step Evaluate
ds=0.0718074672342316m
Next Step Convert to Output's Unit
ds=71.8074672342316mm
LAST Step Rounding Answer
ds=71.8075mm

Diameter of Workpiece given Surface Generation rate Formula Elements

Variables
Constants
Diameter of Workpiece For Surface Generation
Diameter of Workpiece For Surface Generation is defined as the diameter of the workpiece which is undergoing grinding.
Symbol: ds
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.
Length of Workpiece
Length of Workpiece is the measurement or extent of workpiece from end to end in the direction of cut.
Symbol: L
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 Diameter of Workpiece given Surface Generation rate?

Diameter of Workpiece given Surface Generation rate evaluator uses Diameter of Workpiece For Surface Generation = (Machining Time For Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece) to evaluate the Diameter of Workpiece For Surface Generation, The Diameter of Workpiece given Surface Generation rate is defined as the diameter of the workpiece which is undergoing machining operation. Diameter of Workpiece For Surface Generation is denoted by ds symbol.

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

FAQs on Diameter of Workpiece given Surface Generation rate

What is the formula to find Diameter of Workpiece given Surface Generation rate?
The formula of Diameter of Workpiece given Surface Generation rate is expressed as Diameter of Workpiece For Surface Generation = (Machining Time For Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece). Here is an example- 71807.47 = (53.13*0.00108333)/(pi*0.2551415).
How to calculate Diameter of Workpiece given Surface Generation rate?
With Machining Time For Minimum Cost (tmc), Surface Generation Rate (Rsg) & Length of Workpiece (L) we can find Diameter of Workpiece given Surface Generation rate using the formula - Diameter of Workpiece For Surface Generation = (Machining Time For Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece). This formula also uses Archimedes' constant .
Can the Diameter of Workpiece given Surface Generation rate be negative?
No, the Diameter of Workpiece given Surface Generation rate, measured in Length cannot be negative.
Which unit is used to measure Diameter of Workpiece given Surface Generation rate?
Diameter 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 Diameter of Workpiece given Surface Generation rate can be measured.
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