Material Removal Rate during Drilling Operation when Enlarging Existing Hole Calculator

✖Machine Surface Diameter is the diameter of a cylindrical Job or Workpiece after Machining.ⓘ Machine Surface Diameter [d_m]			+10% -10%
✖Work Surface Diameter is the diameter of a cylindrical Job or Workpiece before the Machining operation has been done on it.ⓘ Work Surface Diameter [d_w]			+10% -10%
✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Feed Speed [v_f]			+10% -10%

✖Material Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as drilling machine.ⓘ Material Removal Rate during Drilling Operation when Enlarging Existing Hole [Z_w]

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Material Removal Rate during Drilling Operation when Enlarging Existing Hole

Formula

`"Z"_{"w"} = pi*(("d"_{"m"}^2)-("d"_{"w"}^2))*"v"_{"f"}/4`

Example

`"0.000471m³/s"=pi*((("55mm")^2)-(("25mm")^2))*"0.25m/s"/4`

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Material Removal Rate during Drilling Operation when Enlarging Existing Hole Solution

STEP 0: Pre-Calculation Summary

Formula Used

Material Removal Rate = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4
Z_w = pi*((d_m^2)-(d_w^2))*v_f/4
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Material Removal Rate - (Measured in Cubic Meter per Second) - Material Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as drilling machine.
Machine Surface Diameter - (Measured in Meter) - Machine Surface Diameter is the diameter of a cylindrical Job or Workpiece after Machining.
Work Surface Diameter - (Measured in Meter) - Work Surface Diameter is the diameter of a cylindrical Job or Workpiece before the Machining operation has been done on it.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.

STEP 1: Convert Input(s) to Base Unit

Machine Surface Diameter: 55 Millimeter --> 0.055 Meter (Check conversion here)
Work Surface Diameter: 25 Millimeter --> 0.025 Meter (Check conversion here)
Feed Speed: 0.25 Meter per Second --> 0.25 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_w = pi*((d_m^2)-(d_w^2))*v_f/4 --> pi*((0.055^2)-(0.025^2))*0.25/4

Evaluating ... ...

Z_w = 0.000471238898038469

STEP 3: Convert Result to Output's Unit

0.000471238898038469 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.000471238898038469 ≈ 0.000471 Cubic Meter per Second <-- Material Removal Rate

(Calculation completed in 00.004 seconds)

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Credits

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 8 Drilling Operation Calculators

Material Removal Rate during Drilling Operation using Feed

Go Material Removal Rate in Drilling = pi*(Machine Surface Diameter^2)*Feed Rate in Drilling Operation*Rotational Frequency of Tool/4

Material Removal Rate during Drilling Operation when Enlarging Existing Hole

Go Material Removal Rate = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4

Diameter of Drill Bit given Length of Approach

Go Diameter of drill bit = 2*Approach Distance/tan((pi/2)-(Drill Point Angle/2))

Material Removal Rate during Drilling Operation

Go Material Removal Rate in Drilling = pi*(Machine Surface Diameter^2)*Feed Speed/4

Machining Time for Drilling Operation

Go Machining Time = Length of Cut/(Feed Rate*Rotational Frequency of Drill-bit)

Length of Cut using Machining Time

Go Length of Cut = Feed Rate*Machining Time*Rotational Frequency of Workpiece

Drill Point Angle for given Length of Approach

Go Drill Point Angle = 2*atan(0.5*Diameter of drill bit/Approach Distance)

Length of Approach for Drilling Operation

Go Approach Distance = 0.5*Diameter of drill bit*cot(Drill Point Angle/2)

Material Removal Rate during Drilling Operation when Enlarging Existing Hole Formula

Material Removal Rate = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4
Z_w = pi*((d_m^2)-(d_w^2))*v_f/4

Why Enlarging a hole is preferred over Drilling a Wider hole

When the Drilling operation takes place, Heat is generated due to constant friction and shearing Between the Workpiece and Tool. So to reduce losses in heat and friction, a smaller contact area is required during Machining and hence Drilling is done in multi-step.

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

Material Removal Rate during Drilling Operation when Enlarging Existing Hole calculator uses Material Removal Rate = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4 to calculate the Material Removal Rate, The Material Removal Rate during Drilling Operation when Enlarging Existing Hole is method to determine removal of Material during drilling Operation through already drilled smaller hole. Material Removal Rate is denoted by Z_w symbol.

How to calculate Material Removal Rate during Drilling Operation when Enlarging Existing Hole using this online calculator? To use this online calculator for Material Removal Rate during Drilling Operation when Enlarging Existing Hole, enter Machine Surface Diameter (d_m), Work Surface Diameter (d_w) & Feed Speed (v_f) and hit the calculate button. Here is how the Material Removal Rate during Drilling Operation when Enlarging Existing Hole calculation can be explained with given input values -> 0.000471 = pi*((0.055^2)-(0.025^2))*0.25/4.

FAQ

What is Material Removal Rate during Drilling Operation when Enlarging Existing Hole?

The Material Removal Rate during Drilling Operation when Enlarging Existing Hole is method to determine removal of Material during drilling Operation through already drilled smaller hole and is represented as Z_w = pi*((d_m^2)-(d_w^2))*v_f/4 or Material Removal Rate = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4. Machine Surface Diameter is the diameter of a cylindrical Job or Workpiece after Machining, Work Surface Diameter is the diameter of a cylindrical Job or Workpiece before the Machining operation has been done on it & Feed Speed is the Feed given against a workpiece per unit time.

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

The Material Removal Rate during Drilling Operation when Enlarging Existing Hole is method to determine removal of Material during drilling Operation through already drilled smaller hole is calculated using Material Removal Rate = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4. To calculate Material Removal Rate during Drilling Operation when Enlarging Existing Hole, you need Machine Surface Diameter (d_m), Work Surface Diameter (d_w) & Feed Speed (v_f). With our tool, you need to enter the respective value for Machine Surface Diameter, Work Surface Diameter & Feed Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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