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Diameter of workpiece terms of Machining time for maximum power Formula

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

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

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

Diameter of workpiece terms of Machining time for maximum power Example

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Here is how the Diameter of workpiece terms of Machining time for maximum power equation looks like with Values.

Here is how the Diameter of workpiece terms of Machining time for maximum power equation looks like with Units.

Here is how the Diameter of workpiece terms of Machining time for maximum power equation looks like.

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

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

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

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Diameter of workpiece terms of Machining time for maximum power Solution

Follow our step by step solution on how to calculate Diameter of workpiece terms of Machining time for maximum power?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d w = \frac{48.925s \cdot 11.2kW}{3000.487MJ/m³ \cdot π \cdot 255.1415mm \cdot 2.99mm}

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

d w = \frac{48.925s \cdot 11200W}{3E+9J/m³ \cdot 3.1416 \cdot 0.2551m \cdot 0.003m}

Next Step Prepare to Evaluate

∴

d w = \frac{48.925 \cdot 11200}{3E+9 \cdot 3.1416 \cdot 0.2551 \cdot 0.003}

Next Step Evaluate

∴

d w = 0.0761999948622814m

Next Step Convert to Output's Unit

∴

d w = 76.1999948622814mm

LAST Step Rounding Answer

∴

d w = 76.2mm

Diameter of workpiece terms of Machining time for maximum power Formula Elements

Variables

Constants

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

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

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

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 Machining Time category

Go Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost

Q = T \cdot \frac{(\frac{C m}{t p}) - M}{M \cdot t c + C t}

Go Machining Time for Maximum Power given Machining Cost

t p = \frac{C m}{M + (Q \cdot \frac{M \cdot t c + C t}{T})}

Go Machining Time for optimum speed for Maximum Power given Machining Cost

t mc = t p \cdot {(((\frac{C m}{M \cdot t p}) - 1) \cdot \frac{1 - n}{n})}^{n}

Go Machining Time for Minimum Cost given Surface Generation rate

t min = \frac{A m}{R sg}

How to Evaluate Diameter of workpiece terms of Machining time for maximum power?

Diameter of workpiece terms of Machining time for maximum power evaluator uses Diameter of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut) to evaluate the Diameter of Workpiece, The Diameter of workpiece terms of Machining time for maximum power is defined as the diameter of the workpiece which is undergoing turning operation. Diameter of Workpiece is denoted by d_w symbol.

How to evaluate Diameter of workpiece terms of Machining time for maximum power using this online evaluator? To use this online evaluator for Diameter of workpiece terms of 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), Length of Workpiece (L) & Depth of Cut (d_cut) and hit the calculate button.

FAQs on Diameter of workpiece terms of Machining time for maximum power

What is the formula to find Diameter of workpiece terms of Machining time for maximum power?

The formula of Diameter of workpiece terms of Machining time for maximum power is expressed as Diameter of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut). Here is an example- 76542.44 = (48.925*11200)/(3000487000*pi*0.2551415*0.00299).

How to calculate Diameter of workpiece terms of 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), Length of Workpiece (L) & Depth of Cut (d_cut) we can find Diameter of workpiece terms of Machining time for maximum power using the formula - Diameter of Workpiece = (Machining Time For Maximum Power*Power Available For Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut). This formula also uses Archimedes' constant .

Can the Diameter of workpiece terms of Machining time for maximum power be negative?

No, the Diameter of workpiece terms of Machining time for maximum power, measured in Length cannot be negative.

Which unit is used to measure Diameter of workpiece terms of Machining time for maximum power?

Diameter of workpiece terms of 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 Diameter of workpiece terms of Machining time for maximum power can be measured.

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Diameter of workpiece terms of Machining time for maximum power Formula

Diameter of workpiece terms of Machining time for maximum power Example

Diameter of workpiece terms of Machining time for maximum power Solution

Diameter of workpiece terms of Machining time for maximum power Formula Elements

Other formulas in Machining Time category

How to Evaluate Diameter of workpiece terms of Machining time for maximum power?

FAQs on Diameter of workpiece terms of Machining time for maximum power

Variable Name