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Normal Pressure Angle When Helix Angle is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
normal_pressure_angle = atan(tan(Transverse Pressure Angle)*cos(Helix Angle))
αn = atan(tan(α)*cos(α))
This formula uses 3 Functions, 2 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
tan - Trigonometric tangent function, tan(Angle)
atan - Inverse trigonometric tangent function, atan(Number)
Variables Used
Transverse Pressure Angle - Transverse Pressure Angle is defined as the angle of the projection of the load into the plane to the shaft axis. (Measured in Degree)
Helix Angle - Helix Angle denotes the standard pitch circle unless otherwise specified. Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Transverse Pressure Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αn = atan(tan(α)*cos(α)) --> atan(tan(0.5235987755982)*cos(0.5235987755982))
Evaluating ... ...
αn = 0.463647609000806
STEP 3: Convert Result to Output's Unit
0.463647609000806 Radian -->26.565051177083 Degree (Check conversion here)
FINAL ANSWER
26.565051177083 Degree <-- Normal Pressure Angle
(Calculation completed in 00.151 seconds)

10+ Design of Helical Gears Calculators

Helix Angle When Normal Circular pitch is Given
helix_angle = acos(Transverse Diametrical Pitch/Circular pitch) Go
Transverse Diametrical Pitch When Normal Circular Pitch is Given
transverse_diametrical_pitch = Circular pitch*cos(Helix Angle) Go
Normal Circular Pitch of Helical Gear
circular_pitch = Transverse Diametrical Pitch/cos(Helix Angle) Go
Transverse Diametrical Pitch When Axial Pitch is Given
transverse_diametrical_pitch = Axial Pitch*tan(Helix Angle) Go
Axial Pitch in terms of helix angle
axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle) Go
Helix Angle When Normal Module is Given
helix_angle = acos(Normal Module/Transverse Module) Go
Transverse Module When Normal Module is Given
transverse_module = Normal Module/cos(Helix Angle) Go
Normal Module
normal_module = Transverse Module*cos(Helix Angle) Go
Transverse Module When Transverse Diametrical Pitch is Given
transverse_module = 1/Transverse Diametrical Pitch Go
Transverse Diametrical Pitch in Terms of Transverse Module
transverse_diametrical_pitch = 1/Transverse Module Go

Normal Pressure Angle When Helix Angle is Given Formula

normal_pressure_angle = atan(tan(Transverse Pressure Angle)*cos(Helix Angle))
αn = atan(tan(α)*cos(α))

Define Helical Gears?

A helical gear has a cylindrical pitch surface and teeth that follow a helix on the pitch cylinder. External helical gears have teeth that project outwards, whereas internal helical gears have teeth that project inwards.

How to Calculate Normal Pressure Angle When Helix Angle is Given?

Normal Pressure Angle When Helix Angle is Given calculator uses normal_pressure_angle = atan(tan(Transverse Pressure Angle)*cos(Helix Angle)) to calculate the Normal Pressure Angle, The Normal Pressure Angle When Helix Angle is Given formula is defined as the angle between the tooth face and the gear wheel tangent. Normal Pressure Angle and is denoted by αn symbol.

How to calculate Normal Pressure Angle When Helix Angle is Given using this online calculator? To use this online calculator for Normal Pressure Angle When Helix Angle is Given, enter Transverse Pressure Angle (α) and Helix Angle (α) and hit the calculate button. Here is how the Normal Pressure Angle When Helix Angle is Given calculation can be explained with given input values -> 26.56505 = atan(tan(0.5235987755982)*cos(0.5235987755982)).

FAQ

What is Normal Pressure Angle When Helix Angle is Given?
The Normal Pressure Angle When Helix Angle is Given formula is defined as the angle between the tooth face and the gear wheel tangent and is represented as αn = atan(tan(α)*cos(α)) or normal_pressure_angle = atan(tan(Transverse Pressure Angle)*cos(Helix Angle)). Transverse Pressure Angle is defined as the angle of the projection of the load into the plane to the shaft axis and Helix Angle denotes the standard pitch circle unless otherwise specified. Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit.
How to calculate Normal Pressure Angle When Helix Angle is Given?
The Normal Pressure Angle When Helix Angle is Given formula is defined as the angle between the tooth face and the gear wheel tangent is calculated using normal_pressure_angle = atan(tan(Transverse Pressure Angle)*cos(Helix Angle)). To calculate Normal Pressure Angle When Helix Angle is Given, you need Transverse Pressure Angle (α) and Helix Angle (α). With our tool, you need to enter the respective value for Transverse Pressure Angle and Helix Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Normal Pressure Angle?
In this formula, Normal Pressure Angle uses Transverse Pressure Angle and Helix Angle. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • circular_pitch = Transverse Diametrical Pitch/cos(Helix Angle)
  • transverse_diametrical_pitch = Circular pitch*cos(Helix Angle)
  • helix_angle = acos(Transverse Diametrical Pitch/Circular pitch)
  • transverse_diametrical_pitch = 1/Transverse Module
  • transverse_module = 1/Transverse Diametrical Pitch
  • normal_module = Transverse Module*cos(Helix Angle)
  • transverse_module = Normal Module/cos(Helix Angle)
  • helix_angle = acos(Normal Module/Transverse Module)
  • axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle)
  • transverse_diametrical_pitch = Axial Pitch*tan(Helix Angle)
Where is the Normal Pressure Angle When Helix Angle is Given calculator used?
Among many, Normal Pressure Angle When Helix Angle is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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