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Length of Workpiece given Machining time for maximum power Formula

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Length of Workpiece is the measurement or extent of workpiece from end to end in the direction of cut. Check FAQs

L = \frac{t p \cdot P m}{p s \cdot π \cdot d w \cdot d cut}

L - Length of Workpiece?t_p - Machining Time For Maximum Power?P_m - Power Available For Machining?p_s - Specific Cutting Energy in Machining?d_w - Diameter of Workpiece?d_cut - Depth of Cut?π - Archimedes' constant?

Length of Workpiece given Machining time for maximum power Example

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Here is how the Length of Workpiece given Machining time for maximum power equation looks like with Values.

Here is how the Length of Workpiece given Machining time for maximum power equation looks like with Units.

Here is how the Length of Workpiece given Machining time for maximum power equation looks like.

255.1415 = \frac{48.925 \cdot 11.2}{3000.487 \cdot 3.1416 \cdot 76.2 \cdot 2.99}

255.1415mm = \frac{48.925s \cdot 11.2kW}{3000.487MJ/m³ \cdot 3.1416 \cdot 76.2mm \cdot 2.99mm}

255.1415 = \frac{48.925 \cdot 11.2}{3000.487 \cdot 3.1416 \cdot 76.2 \cdot 2.99}

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Length of Workpiece given Machining time for maximum power Solution

Follow our step by step solution on how to calculate Length of Workpiece given Machining time for maximum power?

FIRST Step Consider the formula

L = \frac{t p \cdot P m}{p s \cdot π \cdot d w \cdot d cut}

Next Step Substitute values of Variables

∴

L = \frac{48.925s \cdot 11.2kW}{3000.487MJ/m³ \cdot π \cdot 76.2mm \cdot 2.99mm}

Next Step Substitute values of Constants

∴

L = \frac{48.925s \cdot 11.2kW}{3000.487MJ/m³ \cdot 3.1416 \cdot 76.2mm \cdot 2.99mm}

Next Step Convert Units

∴

L = \frac{48.925s \cdot 11200W}{3E+9J/m³ \cdot 3.1416 \cdot 0.0762m \cdot 0.003m}

Next Step Prepare to Evaluate

∴

L = \frac{48.925 \cdot 11200}{3E+9 \cdot 3.1416 \cdot 0.0762 \cdot 0.003}

Next Step Evaluate

∴

L = 0.255141482797307m

Next Step Convert to Output's Unit

∴

L = 255.141482797307mm

LAST Step Rounding Answer

∴

L = 255.1415mm

Length of Workpiece given Machining time for maximum power Formula Elements

Variables

Constants

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.

Formulas to find Length of Workpiece

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: t_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Machining Time For Maximum Power

Power Available For Machining

Power Available for Machining is defined as the amount of power available during the machining process.

Symbol: P_m

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power Available For Machining

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: p_s

Measurement: Energy DensityUnit: MJ/m³

Note: Value should be greater than 0.

Formulas to find Specific Cutting Energy in Machining

Diameter of Workpiece

Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.

Symbol: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Workpiece

Depth of Cut

Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining, it is usually given in the third perpendicular direction.

Symbol: d_cut

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cut

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 Initial Weight of Workpiece category

Go Surface area of Workpiece given Surface Generation rate

A m = (t s \cdot R sg)

Go Power available for Machining given Initial weight of workpiece

P m = a p \cdot {(W)}^{b}

Go Initial weight of workpiece given Power available for Machining

W = {(\frac{P m}{a})}^{\frac{1}{b}}

Go Initial weight of workpiece given Machining time for maximum power

W = {(\frac{ρ \cdot a \cdot t p}{V 0 \cdot p s})}^{\frac{1}{1 - b}}

How to Evaluate Length of Workpiece given Machining time for maximum power?

Length of Workpiece given Machining time for maximum power evaluator uses Length of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Diameter of Workpiece*Depth of Cut) to evaluate the Length of Workpiece, The Length of Workpiece given Machining time for maximum power is the measurement or extent of the Workpiece from end to end in the direction of Cut. Length of Workpiece is denoted by L symbol.

How to evaluate Length of Workpiece given Machining time for maximum power using this online evaluator? To use this online evaluator for Length of Workpiece given Machining time for maximum power, enter Machining Time For Maximum Power (t_p), Power Available For Machining (P_m), Specific Cutting Energy in Machining (p_s), Diameter of Workpiece (d_w) & Depth of Cut (d_cut) and hit the calculate button.

FAQs on Length of Workpiece given Machining time for maximum power

What is the formula to find Length of Workpiece given Machining time for maximum power?

The formula of Length of Workpiece given Machining time for maximum power is expressed as Length of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Diameter of Workpiece*Depth of Cut). Here is an example- 255141.5 = (48.925*11200)/(3000487000*pi*0.0762*0.00299).

How to calculate Length of Workpiece given Machining time for maximum power?

With Machining Time For Maximum Power (t_p), Power Available For Machining (P_m), Specific Cutting Energy in Machining (p_s), Diameter of Workpiece (d_w) & Depth of Cut (d_cut) we can find Length of Workpiece given Machining time for maximum power using the formula - Length of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Diameter of Workpiece*Depth of Cut). This formula also uses Archimedes' constant .

Can the Length of Workpiece given Machining time for maximum power be negative?

No, the Length of Workpiece given Machining time for maximum power, measured in Length cannot be negative.

Which unit is used to measure Length of Workpiece given Machining time for maximum power?

Length of Workpiece given Machining time for maximum power 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 Machining time for maximum power can be measured.

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Length of Workpiece given Machining time for maximum power Formula

Length of Workpiece given Machining time for maximum power Example

Length of Workpiece given Machining time for maximum power Solution

Length of Workpiece given Machining time for maximum power Formula Elements

Other formulas in Initial Weight of Workpiece category

How to Evaluate Length of Workpiece given Machining time for maximum power?

FAQs on Length of Workpiece given Machining time for maximum power

Variable Name