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Diameter of workpiece given Metal removal rate Formula

GoDiameter of workpiece given feed and machine infeed speed Formula

GoWorkpiece diameter given equivalent wheel diameter Formula

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Grinding Workpiece Diameter is defined as the size of the workpiece being ground on a grinding machine that is undergoing grinding. Check FAQs

d wp = \frac{Z w}{V f \cdot π \cdot a p}

d_wp - Grinding Workpiece Diameter?Z_w - Metal Removal Rate (MRR)?V_f - Feed Speed?a_p - The Width of Grinding Path?π - Archimedes' constant?

Diameter of workpiece given Metal removal rate Example

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Here is how the Diameter of workpiece given Metal removal rate equation looks like with Values.

Here is how the Diameter of workpiece given Metal removal rate equation looks like with Units.

Here is how the Diameter of workpiece given Metal removal rate equation looks like.

99.2045 = \frac{0.0012}{3.5 \cdot 3.1416 \cdot 1100.1}

99.2045mm = \frac{0.0012m³/s}{3.5mm/s \cdot 3.1416 \cdot 1100.1mm}

99.2045 = \frac{0.0012}{3.5 \cdot 3.1416 \cdot 1100.1}

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Diameter of workpiece given Metal removal rate Solution

Follow our step by step solution on how to calculate Diameter of workpiece given Metal removal rate?

FIRST Step Consider the formula

d wp = \frac{Z w}{V f \cdot π \cdot a p}

Next Step Substitute values of Variables

∴

d wp = \frac{0.0012m³/s}{3.5mm/s \cdot π \cdot 1100.1mm}

Next Step Substitute values of Constants

∴

d wp = \frac{0.0012m³/s}{3.5mm/s \cdot 3.1416 \cdot 1100.1mm}

Next Step Convert Units

∴

d wp = \frac{0.0012m³/s}{0.0035m/s \cdot 3.1416 \cdot 1.1001m}

Next Step Prepare to Evaluate

∴

d wp = \frac{0.0012}{0.0035 \cdot 3.1416 \cdot 1.1001}

Next Step Evaluate

∴

d wp = 0.0992044524317397m

Next Step Convert to Output's Unit

∴

d wp = 99.2044524317397mm

LAST Step Rounding Answer

∴

d wp = 99.2045mm

Diameter of workpiece given Metal removal rate Formula Elements

Variables

Constants

Grinding Workpiece Diameter

Grinding Workpiece Diameter is defined as the size of the workpiece being ground on a grinding machine that is undergoing grinding.

Symbol: d_wp

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Grinding Workpiece Diameter

Metal Removal Rate (MRR)

Metal Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.

Symbol: Z_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Metal Removal Rate (MRR)

Feed Speed

Feed Speed is the rate at which the cutting tool or workpiece moves during a machining operation. It is typically measured in units of distance per minute.

Symbol: V_f

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Formulas to find Feed Speed

The Width of Grinding Path

The Width of grinding path is defined as the width of material removed by the grinding wheel in a single pass over the workpiece.

Symbol: a_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find The Width of Grinding Path

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 to find Grinding Workpiece Diameter

Go Diameter of workpiece given feed and machine infeed speed

d wp = Λ W \cdot d t \cdot \frac{(\frac{V if}{V f}) - 1}{Λ T}

Go Workpiece diameter given equivalent wheel diameter

d wp = d E \cdot \frac{d t}{d t - d E}

Other formulas in Workpiece category

Go Surface Speed of workpiece given Metal removal rate during grinding

v w = \frac{Z m}{f i \cdot a p}

Go Surface speed of workpiece given constant for grinding wheel

v w = ({a cMax}^{2}) \cdot \frac{V t}{K g \cdot \sqrt{f i}}

Go Number of workpiece revolution

m = 2 \cdot v w \cdot \frac{a p}{Λ W \cdot S e}

Go Workpiece surface speed given number of workpiece revolutions

v w = m \cdot Λ W \cdot \frac{S e}{2 \cdot a p}

How to Evaluate Diameter of workpiece given Metal removal rate?

Diameter of workpiece given Metal removal rate evaluator uses Grinding Workpiece Diameter = Metal Removal Rate (MRR)/(Feed Speed*pi*The Width of Grinding Path) to evaluate the Grinding Workpiece Diameter, Diameter of workpiece given Metal removal rate is the diameter of the workpiece in a grinding cycle based on the metal removal rate, feed speed, and grinding path width. The workpiece diameter is determined by dividing the metal removal rate by the product of the feed speed, π (pi), and the grinding path width. Grinding Workpiece Diameter is denoted by d_wp symbol.

How to evaluate Diameter of workpiece given Metal removal rate using this online evaluator? To use this online evaluator for Diameter of workpiece given Metal removal rate, enter Metal Removal Rate (MRR) (Z_w), Feed Speed (V_f) & The Width of Grinding Path (a_p) and hit the calculate button.

FAQs on Diameter of workpiece given Metal removal rate

What is the formula to find Diameter of workpiece given Metal removal rate?

The formula of Diameter of workpiece given Metal removal rate is expressed as Grinding Workpiece Diameter = Metal Removal Rate (MRR)/(Feed Speed*pi*The Width of Grinding Path). Here is an example- 99204.45 = 0.0012/(0.0035*pi*1.1001).

How to calculate Diameter of workpiece given Metal removal rate?

With Metal Removal Rate (MRR) (Z_w), Feed Speed (V_f) & The Width of Grinding Path (a_p) we can find Diameter of workpiece given Metal removal rate using the formula - Grinding Workpiece Diameter = Metal Removal Rate (MRR)/(Feed Speed*pi*The Width of Grinding Path). This formula also uses Archimedes' constant .

What are the other ways to Calculate Grinding Workpiece Diameter?

Here are the different ways to Calculate Grinding Workpiece Diameter-

Grinding Workpiece Diameter=Workpiece Removal Parameter per Unit Time*Diameter of Grinding Tool Wheel*((Machine Infeed Speed/Feed Speed)-1)/Wheel Removal Parameter per Unit Time
Grinding Workpiece Diameter=Equivalent Grinding Wheel Diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Grinding Wheel Diameter)

Can the Diameter of workpiece given Metal removal rate be negative?

No, the Diameter of workpiece given Metal removal rate, measured in Length cannot be negative.

Which unit is used to measure Diameter of workpiece given Metal removal rate?

Diameter of workpiece given Metal removal 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 Metal removal rate can be measured.

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Diameter of workpiece given Metal removal rate Formula

​GoDiameter of workpiece given feed and machine infeed speed Formula

​GoWorkpiece diameter given equivalent wheel diameter Formula

Diameter of workpiece given Metal removal rate Example

Diameter of workpiece given Metal removal rate Solution

Diameter of workpiece given Metal removal rate Formula Elements

Other Formulas to find Grinding Workpiece Diameter

Other formulas in Workpiece category

How to Evaluate Diameter of workpiece given Metal removal rate?

FAQs on Diameter of workpiece given Metal removal rate

Variable Name

GoDiameter of workpiece given feed and machine infeed speed Formula

GoWorkpiece diameter given equivalent wheel diameter Formula