Drill Point Angle for given Length of Approach Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drill Point Angle = 2*atan(0.5*Diameter of drill bit/Length of Approach)
θdrill-tip = 2*atan(0.5*db/A)
This formula uses 2 Functions, 3 Variables
Functions Used
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., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)
Variables Used
Drill Point Angle - (Measured in Radian) - Drill Point Angle is the angle measured between the two opposite cutting edges of a Drill Bit at the top of the Flank.
Diameter of drill bit - (Measured in Meter) - Diameter of drill bit used in Langefors’ Formula for calculating burden.
Length of Approach - (Measured in Meter) - Length of Approach is the minimum distance travelled by the Cutting Tool to reach full Cutter Depth from its first engagement with the WOrkpiece.
STEP 1: Convert Input(s) to Base Unit
Diameter of drill bit: 3 Millimeter --> 0.003 Meter (Check conversion here)
Length of Approach: 10.5 Millimeter --> 0.0105 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θdrill-tip = 2*atan(0.5*db/A) --> 2*atan(0.5*0.003/0.0105)
Evaluating ... ...
θdrill-tip = 0.283794109208328
STEP 3: Convert Result to Output's Unit
0.283794109208328 Radian -->16.260204708315 Degree (Check conversion here)
FINAL ANSWER
16.260204708315 16.2602 Degree <-- Drill Point Angle
(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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17 Machine tools and machine operations Calculators

Mean Cutting Speed
Go Mean Cutting Speed = Angular Velocity of Job or Workpiece*pi*(Work Surface Diameter+Machine Surface Diameter)/2
Energy per Unit Material Removal given Efficiency of Motor Drive System
Go Rate of Energy Consumption during Machining = Electrical Power Available for Machining*Overall Machining Efficiency/Metal removal rate
Diameter of Drill Bit given Length of Approach
Go Diameter of drill bit = 2*Length of Approach/tan((pi/2)-(Drill Point Angle/2))
Minimum Length of Approach required in Slab Milling
Go Length of Approach = sqrt(Depth of Cut*(Diameter of Cutting Tool-Depth of Cut))
Length of Cut using Machining Time
Go Length of Cut = Feed Rate*Machining Time*Angular Velocity of Job or Workpiece
Tool Engagement Angle in Slab Milling using Depth of Cut
Go Tool Engagement Angle = acos(1-(2*Depth of Cut/Diameter of Cutting Tool))
Depth of Cut in Slab Milling using Tool Engagement Angle
Go Depth of Cut = (1-cos(Tool Engagement Angle))*Diameter of Cutting Tool/2
Drill Point Angle for given Length of Approach
Go Drill Point Angle = 2*atan(0.5*Diameter of drill bit/Length of Approach)
Resultant Cutting Velocity
Go Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle))
Cutting Speed Angle using Resultant Cutting Speed
Go Cutting Speed Angle = acos(Cutting Velocity/Resultant Cutting Velocity)
Length of Approach for Drilling Operation
Go Length of Approach = 0.5*Diameter of drill bit*cot(Drill Point Angle/2)
Overall Efficiency of Machine Tool and Motor Drive System
Go Overall Machining Efficiency = Machining Power/Electrical Power Available for Machining
Machining Power using Overall Efficiency
Go Machining Power = Overall Machining Efficiency*Electrical Power Available for Machining
Cutting Speed in Turning
Go Cutting Speed = pi*Diameter of Workpiece*Spindle Speed
Power required for Machining Operation
Go Machining Power = Metal removal rate*Rate of Energy Consumption during Machining
Cross sectional Area of Uncut Chip
Go Cross-sectional Area of Uncut Chip = Feed Rate*Depth of Cut
Minimum Length of Approach required in Face Milling
Go Length of Approach = Diameter of Cutting Tool/2

Drill Point Angle for given Length of Approach Formula

Drill Point Angle = 2*atan(0.5*Diameter of drill bit/Length of Approach)
θdrill-tip = 2*atan(0.5*db/A)

which are the Common Drill Point Angles?

The point angle is located on the head of the twist drill. The most used Drill Point Angles are:
1. 90° - for Softer Materials
2. 118° - for Soft to Medium Hard Material
3. 135° - for Harder Materials

How to Calculate Drill Point Angle for given Length of Approach?

Drill Point Angle for given Length of Approach calculator uses Drill Point Angle = 2*atan(0.5*Diameter of drill bit/Length of Approach) to calculate the Drill Point Angle, The Drill Point Angle for given Length of Approach is a method to determine the angle made by the two major cutting edges of a drill bit at its head when the perpendicular height of the tip-cone is known. Drill Point Angle is denoted by θdrill-tip symbol.

How to calculate Drill Point Angle for given Length of Approach using this online calculator? To use this online calculator for Drill Point Angle for given Length of Approach, enter Diameter of drill bit (db) & Length of Approach (A) and hit the calculate button. Here is how the Drill Point Angle for given Length of Approach calculation can be explained with given input values -> 931.6411 = 2*atan(0.5*0.003/0.0105).

FAQ

What is Drill Point Angle for given Length of Approach?
The Drill Point Angle for given Length of Approach is a method to determine the angle made by the two major cutting edges of a drill bit at its head when the perpendicular height of the tip-cone is known and is represented as θdrill-tip = 2*atan(0.5*db/A) or Drill Point Angle = 2*atan(0.5*Diameter of drill bit/Length of Approach). Diameter of drill bit used in Langefors’ Formula for calculating burden & Length of Approach is the minimum distance travelled by the Cutting Tool to reach full Cutter Depth from its first engagement with the WOrkpiece.
How to calculate Drill Point Angle for given Length of Approach?
The Drill Point Angle for given Length of Approach is a method to determine the angle made by the two major cutting edges of a drill bit at its head when the perpendicular height of the tip-cone is known is calculated using Drill Point Angle = 2*atan(0.5*Diameter of drill bit/Length of Approach). To calculate Drill Point Angle for given Length of Approach, you need Diameter of drill bit (db) & Length of Approach (A). With our tool, you need to enter the respective value for Diameter of drill bit & Length of Approach 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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