Diameter of Drill Bit given Length of Approach Formula

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Diameter of drill bit is essentially the straight distance across the widest part of the cutting edge (lips) of the drill bit. It determines the width of the hole it will create on workpiece. Check FAQs
D=2Atan(π2-θ2)
D - Diameter of Drill Bit?A - Approach Distance?θ - Drill Point Angle?π - Archimedes' constant?

Diameter of Drill Bit given Length of Approach Example

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With units
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Here is how the Diameter of Drill Bit given Length of Approach equation looks like with Values.

Here is how the Diameter of Drill Bit given Length of Approach equation looks like with Units.

Here is how the Diameter of Drill Bit given Length of Approach equation looks like.

60.3553Edit=212.5Edittan(3.14162-135Edit2)
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Diameter of Drill Bit given Length of Approach Solution

Follow our step by step solution on how to calculate Diameter of Drill Bit given Length of Approach?

FIRST Step Consider the formula
D=2Atan(π2-θ2)
Next Step Substitute values of Variables
D=212.5mmtan(π2-135°2)
Next Step Substitute values of Constants
D=212.5mmtan(3.14162-135°2)
Next Step Convert Units
D=20.0125mtan(3.14162-2.3562rad2)
Next Step Prepare to Evaluate
D=20.0125tan(3.14162-2.35622)
Next Step Evaluate
D=0.0603553390592894m
Next Step Convert to Output's Unit
D=60.3553390592894mm
LAST Step Rounding Answer
D=60.3553mm

Diameter of Drill Bit given Length of Approach Formula Elements

Variables
Constants
Functions
Diameter of Drill Bit
Diameter of drill bit is essentially the straight distance across the widest part of the cutting edge (lips) of the drill bit. It determines the width of the hole it will create on workpiece.
Symbol: D
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Approach Distance
Approach Distance is the extra distance the drill travels before it starts cutting into the workpiece. It allows the tool to reach its cutting speed and position itself properly for an accurate hole.
Symbol: A
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Drill Point Angle
Drill Point Angle is the angle between the two cutting edges (lips) of a drill bit at its tip. This angle affects how aggressively the bit cuts and what materials it's suited for.
Symbol: θ
Measurement: AngleUnit: °
Note: Value should be greater than 0.
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
tan
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Syntax: tan(Angle)

Other formulas in Drilling Operation category

​Go Length of Approach for Drilling Operation
A=0.5Dcot(θ2)
​Go Drill Point Angle for given Length of Approach
θ=2atan(0.5DA)
​Go Machining Time for Drilling Operation
tm=lwfn
​Go Material Removal Rate during Drilling Operation
Zd=π4dm2vf

How to Evaluate Diameter of Drill Bit given Length of Approach?

Diameter of Drill Bit given Length of Approach evaluator uses Diameter of Drill Bit = 2*Approach Distance/tan(pi/2-Drill Point Angle/2) to evaluate the Diameter of Drill Bit, The diameter of Drill Bit given Length of Approach is a method to determine the straight distance across the widest part of the cutting edge (lips) of the drill bit, when length of approach is known. It's typically measured in millimeters (mm) or inches (in) and is usually printed on the shank of the drill bit. Diameter of Drill Bit is denoted by D symbol.

How to evaluate Diameter of Drill Bit given Length of Approach using this online evaluator? To use this online evaluator for Diameter of Drill Bit given Length of Approach, enter Approach Distance (A) & Drill Point Angle (θ) and hit the calculate button.

FAQs on Diameter of Drill Bit given Length of Approach

What is the formula to find Diameter of Drill Bit given Length of Approach?
The formula of Diameter of Drill Bit given Length of Approach is expressed as Diameter of Drill Bit = 2*Approach Distance/tan(pi/2-Drill Point Angle/2). Here is an example- 60355.34 = 2*0.0125/tan(pi/2-2.3561944901919/2).
How to calculate Diameter of Drill Bit given Length of Approach?
With Approach Distance (A) & Drill Point Angle (θ) we can find Diameter of Drill Bit given Length of Approach using the formula - Diameter of Drill Bit = 2*Approach Distance/tan(pi/2-Drill Point Angle/2). This formula also uses Archimedes' constant and Tangent (tan) function(s).
Can the Diameter of Drill Bit given Length of Approach be negative?
No, the Diameter of Drill Bit given Length of Approach, measured in Length cannot be negative.
Which unit is used to measure Diameter of Drill Bit given Length of Approach?
Diameter of Drill Bit given Length of Approach is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Drill Bit given Length of Approach can be measured.
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