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Material Removal Rate during Drilling Operation when Enlarging Existing Hole Formula

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Material Removal Rate (MRR) is the volume of material removed from workpiece per time unit (usually per minute) when performing machining operations such as drilling. Check FAQs

Z w = \frac{π \cdot ({d m}^{2} - {d w}^{2}) \cdot v f}{4}

Z_w - Material Removal Rate?d_m - Machined Surface Diameter?d_w - Work Surface Diameter?v_f - Feed Speed?π - Archimedes' constant?

Material Removal Rate during Drilling Operation when Enlarging Existing Hole Example

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Here is how the Material Removal Rate during Drilling Operation when Enlarging Existing Hole equation looks like with Values.

Here is how the Material Removal Rate during Drilling Operation when Enlarging Existing Hole equation looks like with Units.

Here is how the Material Removal Rate during Drilling Operation when Enlarging Existing Hole equation looks like.

0.0005 = \frac{3.1416 \cdot (55^{2} - 25^{2}) \cdot 0.25}{4}

0.0005m³/s = \frac{3.1416 \cdot ({55mm}^{2} - {25mm}^{2}) \cdot 0.25m/s}{4}

0.0005 = \frac{3.1416 \cdot (55^{2} - 25^{2}) \cdot 0.25}{4}

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Material Removal Rate during Drilling Operation when Enlarging Existing Hole Solution

Follow our step by step solution on how to calculate Material Removal Rate during Drilling Operation when Enlarging Existing Hole?

FIRST Step Consider the formula

Z w = \frac{π \cdot ({d m}^{2} - {d w}^{2}) \cdot v f}{4}

Next Step Substitute values of Variables

∴

Z w = \frac{π \cdot ({55mm}^{2} - {25mm}^{2}) \cdot 0.25m/s}{4}

Next Step Substitute values of Constants

∴

Z w = \frac{3.1416 \cdot ({55mm}^{2} - {25mm}^{2}) \cdot 0.25m/s}{4}

Next Step Convert Units

∴

Z w = \frac{3.1416 \cdot ({0.055m}^{2} - {0.025m}^{2}) \cdot 0.25m/s}{4}

Next Step Prepare to Evaluate

∴

Z w = \frac{3.1416 \cdot ({0.055}^{2} - {0.025}^{2}) \cdot 0.25}{4}

Next Step Evaluate

∴

Z w = 0.000471238898038469m³/s

LAST Step Rounding Answer

∴

Z w = 0.0005m³/s

Material Removal Rate during Drilling Operation when Enlarging Existing Hole Formula Elements

Variables

Constants

Material Removal Rate

Material Removal Rate (MRR) is the volume of material removed from workpiece per time unit (usually per minute) when performing machining operations such as drilling.

Symbol: Z_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Material Removal Rate

Machined Surface Diameter

Machined Surface Diameter is the diameter of the inner surface of the cylindrical Job or Workpiece through which drilling operation was done. Which is essentially the diameter of the drilled hole.

Symbol: d_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Machined Surface Diameter

Work Surface Diameter

Work Surface Diameter refers to the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing.

Symbol: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Work Surface Diameter

Feed Speed

Feed Speed refers to the rate at which the drill bit advances into the workpiece in a specified time frame during the drilling process.

Symbol: v_f

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Feed Speed

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 Drilling Operation category

Go Length of Approach for Drilling Operation

A = 0.5 \cdot D \cdot \cot (\frac{θ}{2})

Go Drill Point Angle for given Length of Approach

θ = 2 \cdot a \tan (0.5 \cdot \frac{D}{A})

Go Diameter of Drill Bit given Length of Approach

D = 2 \cdot \frac{A}{\tan (\frac{π}{2} - \frac{θ}{2})}

Go Machining Time for Drilling Operation

t m = \frac{l w}{f \cdot n}

How to Evaluate Material Removal Rate during Drilling Operation when Enlarging Existing Hole?

Material Removal Rate during Drilling Operation when Enlarging Existing Hole evaluator uses Material Removal Rate = (pi*(Machined Surface Diameter^2-Work Surface Diameter^2)*Feed Speed)/4 to evaluate the Material Removal Rate, Material Removal Rate during Drilling Operation when Enlarging Existing Hole determines the volume removed by drill bit from workpiece in a time frame, when drilling an existing hole. This is often requied to reduce heat generation and reduce friction between workpiece and drill-bit. This method also provides a smoother surface finish. Material Removal Rate is denoted by Z_w symbol.

How to evaluate Material Removal Rate during Drilling Operation when Enlarging Existing Hole using this online evaluator? To use this online evaluator for Material Removal Rate during Drilling Operation when Enlarging Existing Hole, enter Machined Surface Diameter (d_m), Work Surface Diameter (d_w) & Feed Speed (v_f) and hit the calculate button.

FAQs on Material Removal Rate during Drilling Operation when Enlarging Existing Hole

What is the formula to find Material Removal Rate during Drilling Operation when Enlarging Existing Hole?

The formula of Material Removal Rate during Drilling Operation when Enlarging Existing Hole is expressed as Material Removal Rate = (pi*(Machined Surface Diameter^2-Work Surface Diameter^2)*Feed Speed)/4. Here is an example- 0.000471 = (pi*(0.055^2-0.025^2)*0.25)/4.

How to calculate Material Removal Rate during Drilling Operation when Enlarging Existing Hole?

With Machined Surface Diameter (d_m), Work Surface Diameter (d_w) & Feed Speed (v_f) we can find Material Removal Rate during Drilling Operation when Enlarging Existing Hole using the formula - Material Removal Rate = (pi*(Machined Surface Diameter^2-Work Surface Diameter^2)*Feed Speed)/4. This formula also uses Archimedes' constant .

Can the Material Removal Rate during Drilling Operation when Enlarging Existing Hole be negative?

No, the Material Removal Rate during Drilling Operation when Enlarging Existing Hole, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Material Removal Rate during Drilling Operation when Enlarging Existing Hole?

Material Removal Rate during Drilling Operation when Enlarging Existing Hole 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 Material Removal Rate during Drilling Operation when Enlarging Existing Hole can be measured.

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Material Removal Rate during Drilling Operation when Enlarging Existing Hole Formula

Material Removal Rate during Drilling Operation when Enlarging Existing Hole Example

Material Removal Rate during Drilling Operation when Enlarging Existing Hole Solution

Material Removal Rate during Drilling Operation when Enlarging Existing Hole Formula Elements

Other formulas in Drilling Operation category

How to Evaluate Material Removal Rate during Drilling Operation when Enlarging Existing Hole?

FAQs on Material Removal Rate during Drilling Operation when Enlarging Existing Hole

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