FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Average Material Removal Rate given Depth of Cut for Boring Operation Formula

Fx Copy

LaTeX Copy

Material Removal Rate in Boring Operation (MRR) is the volume of material removed per unit time from workpiece while performing boring operation. Check FAQs

Z b = π \cdot f \cdot d c \cdot n w \cdot (d' m - d c)

Z_b - Material Removal Rate in Boring Operation?f - Feed Rate in Machining?d_c - Depth of Cut in Machining?n_w - Rotational Frequency of The Workpiece?d'_m - Machined Surface Diameter?π - Archimedes' constant?

Average Material Removal Rate given Depth of Cut for Boring Operation Example

With values

With units

Only example

Here is how the Average Material Removal Rate given Depth of Cut for Boring Operation equation looks like with Values.

Here is how the Average Material Removal Rate given Depth of Cut for Boring Operation equation looks like with Units.

Here is how the Average Material Removal Rate given Depth of Cut for Boring Operation equation looks like.

0.004 = 3.1416 \cdot 2.7 \cdot 13 \cdot 750 \cdot (480 - 13)

0.004m³/s = 3.1416 \cdot 2.7mm/rev \cdot 13mm \cdot 750rev/min \cdot (480mm - 13mm)

0.004 = 3.1416 \cdot 2.7 \cdot 13 \cdot 750 \cdot (480 - 13)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Machining » fx Average Material Removal Rate given Depth of Cut for Boring Operation

Average Material Removal Rate given Depth of Cut for Boring Operation Solution

Follow our step by step solution on how to calculate Average Material Removal Rate given Depth of Cut for Boring Operation?

FIRST Step Consider the formula

Z b = π \cdot f \cdot d c \cdot n w \cdot (d' m - d c)

Next Step Substitute values of Variables

∴

Z b = π \cdot 2.7mm/rev \cdot 13mm \cdot 750rev/min \cdot (480mm - 13mm)

Next Step Substitute values of Constants

∴

Z b = 3.1416 \cdot 2.7mm/rev \cdot 13mm \cdot 750rev/min \cdot (480mm - 13mm)

Next Step Convert Units

∴

Z b = 3.1416 \cdot 0.0027m/rev \cdot 0.013m \cdot 78.5398rad/s \cdot (0.48m - 0.013m)

Next Step Prepare to Evaluate

∴

Z b = 3.1416 \cdot 0.0027 \cdot 0.013 \cdot 78.5398 \cdot (0.48 - 0.013)

Next Step Evaluate

∴

Z b = 0.00404448986132745m³/s

LAST Step Rounding Answer

∴

Z b = 0.004m³/s

Average Material Removal Rate given Depth of Cut for Boring Operation Formula Elements

Variables

Constants

Material Removal Rate in Boring Operation

Material Removal Rate in Boring Operation (MRR) is the volume of material removed per unit time from workpiece while performing boring operation.

Symbol: Z_b

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Material Removal Rate in Boring Operation

Feed Rate in Machining

Feed Rate in Machining refers to the speed at which the cutting tool advances against the workpiece. It essentially controls how much material is removed with each pass of the tool.

Symbol: f

Measurement: FeedUnit: mm/rev

Note: Value should be greater than 0.

Formulas to find Feed Rate in Machining

Depth of Cut in Machining

Depth of Cut in Machining 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_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cut in Machining

Rotational Frequency of The Workpiece

Rotational frequency of the workpiece is defined as the number of rotations the workpiece around the tip of single point cutting tool makes in a specified time frame.

Symbol: n_w

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Rotational Frequency of The Workpiece

Machined Surface Diameter

Machined Surface Diameter is the diameter of the machined surface refers to the final diameter of a feature created by machining, specifically focusing on the measurement across the machined area.

Symbol: d'_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Machined Surface Diameter

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 Cutting Operation category

Go Cutting Speed Angle using Resultant Cutting Speed

η = a \cos (\frac{v}{v e})

Go Cross sectional Area of Uncut Chip

A c = F \cdot D c

Go Mean Cutting Speed

V t = n \cdot π \cdot \frac{d w + d m}{2}

Go Average Material Removal Rate using Uncut Chip Cross-Section Area

Z t = A cs \cdot V

How to Evaluate Average Material Removal Rate given Depth of Cut for Boring Operation?

Average Material Removal Rate given Depth of Cut for Boring Operation evaluator uses Material Removal Rate in Boring Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of The Workpiece*(Machined Surface Diameter-Depth of Cut in Machining) to evaluate the Material Removal Rate in Boring Operation, The Average Material Removal Rate given Depth of Cut for Boring Operation is a method to determine the average volume removed from workpiece in a specified time frame, while performing boring operation on lathe. A higher MRR indicates a faster boring process, meaning you can remove material and create the desired hole quicker. Material Removal Rate in Boring Operation is denoted by Z_b symbol.

How to evaluate Average Material Removal Rate given Depth of Cut for Boring Operation using this online evaluator? To use this online evaluator for Average Material Removal Rate given Depth of Cut for Boring Operation, enter Feed Rate in Machining (f), Depth of Cut in Machining (d_c), Rotational Frequency of The Workpiece (n_w) & Machined Surface Diameter (d'_m) and hit the calculate button.

FAQs on Average Material Removal Rate given Depth of Cut for Boring Operation

What is the formula to find Average Material Removal Rate given Depth of Cut for Boring Operation?

The formula of Average Material Removal Rate given Depth of Cut for Boring Operation is expressed as Material Removal Rate in Boring Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of The Workpiece*(Machined Surface Diameter-Depth of Cut in Machining). Here is an example- 0.004044 = pi*0.0027*0.013*78.5398163357453*(0.48-0.013).

How to calculate Average Material Removal Rate given Depth of Cut for Boring Operation?

With Feed Rate in Machining (f), Depth of Cut in Machining (d_c), Rotational Frequency of The Workpiece (n_w) & Machined Surface Diameter (d'_m) we can find Average Material Removal Rate given Depth of Cut for Boring Operation using the formula - Material Removal Rate in Boring Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of The Workpiece*(Machined Surface Diameter-Depth of Cut in Machining). This formula also uses Archimedes' constant .

Can the Average Material Removal Rate given Depth of Cut for Boring Operation be negative?

No, the Average Material Removal Rate given Depth of Cut for Boring Operation, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Average Material Removal Rate given Depth of Cut for Boring Operation?

Average Material Removal Rate given Depth of Cut for Boring Operation is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Average Material Removal Rate given Depth of Cut for Boring Operation can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Average Material Removal Rate given Depth of Cut for Boring Operation Formula

Average Material Removal Rate given Depth of Cut for Boring Operation Example

Average Material Removal Rate given Depth of Cut for Boring Operation Solution

Average Material Removal Rate given Depth of Cut for Boring Operation Formula Elements

Other formulas in Cutting Operation category

How to Evaluate Average Material Removal Rate given Depth of Cut for Boring Operation?

FAQs on Average Material Removal Rate given Depth of Cut for Boring Operation

Variable Name