Pitch of Helical Gear given Normal Circular Pitch Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear)
p = PN/cos(ψ)
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Pitch of Helical Gear - (Measured in Meter) - Pitch of Helical Gear is defined as the distance between two identical points on two adjacent gear teeth.
Normal Circular Pitch of Helical Gear - (Measured in Meter) - Normal Circular Pitch of Helical Gear is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth.
Helix Angle of Helical Gear - (Measured in Radian) - Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.
STEP 1: Convert Input(s) to Base Unit
Normal Circular Pitch of Helical Gear: 9.6 Millimeter --> 0.0096 Meter (Check conversion here)
Helix Angle of Helical Gear: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = PN/cos(ψ) --> 0.0096/cos(0.4363323129985)
Evaluating ... ...
p = 0.0105924280220395
STEP 3: Convert Result to Output's Unit
0.0105924280220395 Meter -->10.5924280220395 Millimeter (Check conversion here)
FINAL ANSWER
10.5924280220395 10.59243 Millimeter <-- Pitch of Helical Gear
(Calculation completed in 00.004 seconds)

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25 Helix Geometry Calculators

Helix Angle of Helical Gear given Center to Center Distance between Two Gears
Go Helix Angle of Helical Gear = acos(Normal Module of Helical Gear*(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)/(2*Center to Center Distance of Helical Gears))
Helix Angle of Helical Gear given Virtual Number of Teeth
Go Helix Angle of Helical Gear = acos((Diameter of Pitch Circle of Helical Gear/(Normal Module of Helical Gear*Virtual Number of Teeth on Helical Gear))^(1/2))
Transverse Pressure Angle of Helical Gear given Helix Angle
Go Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix Angle of Helical Gear))
Normal Pressure Angle of Helical Gear given Helix Angle
Go Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix Angle of Helical Gear))
Helix Angle of Helical Gear given Pressure Angle
Go Helix Angle of Helical Gear = acos(tan(Normal Pressure Angle of Helical Gear)/tan(Transverse Pressure Angle of Helical Gear))
Pitch Circular Diameter of Gear given Virtual Number of Teeth
Go Diameter of Pitch Circle of Helical Gear = Normal Module of Helical Gear*Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2)
Helix Angle of Helical Gear given Pitch Circle Diameter
Go Helix Angle of Helical Gear = acos(Number of Teeth on Helical Gear*Normal Module of Helical Gear/Diameter of Pitch Circle of Helical Gear)
Helix Angle of Helical Gear given Radius of Curvature at Point
Go Helix Angle of Helical Gear = sqrt(acos(Diameter of Pitch Circle of Helical Gear/(2*Radius of Curvature of Helical Gear)))
Radius of Curvature of Virtual Gear given Virtual Number of Teeth
Go Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi)
Normal Circular Pitch of Helical Gear given Virtual Number of Teeth
Go Normal Circular Pitch of Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Virtual Number of Teeth on Helical Gear
Semi Major Axis of Elliptical Profile given Radius of Curvature at Point
Go Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth)
Radius of Curvature at Point on Virtual Gear
Go Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2)
Pitch Circular Diameter of Gear given Virtual Gear
Go Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2
Helix Angle of Helical Gear given Normal Module
Go Helix Angle of Helical Gear = acos(Normal Module of Helical Gear/Transverse Module of Helical Gear)
Helix Angle of Helical Gear given Normal Circular Pitch
Go Helix Angle of Helical Gear = acos(Normal Circular Pitch of Helical Gear/Pitch of Helical Gear)
Pitch of Helical Gear given Normal Circular Pitch
Go Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear)
Normal Circular Pitch of Helical Gear
Go Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear)
Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point
Go Semi Minor Axis of Helical Gear Teeth = Semi Major Axis of Helical Gear Teeth^2/Radius of Curvature of Helical Gear
Helix Angle of Helical Gear given Axial Pitch
Go Helix Angle of Helical Gear = atan(Pitch of Helical Gear/Axial Pitch of Helical Gear)
Radius of Curvature at Point on Helical Gear
Go Radius of Curvature of Helical Gear = Semi Major Axis of Helical Gear Teeth^2/Semi Minor Axis of Helical Gear Teeth
Axial Pitch of Helical Gear given Helix Angle
Go Axial Pitch of Helical Gear = Pitch of Helical Gear/tan(Helix Angle of Helical Gear)
Pitch of Helical Gear given Axial Pitch
Go Pitch of Helical Gear = Axial Pitch of Helical Gear*tan(Helix Angle of Helical Gear)
Radius of Curvature of Virtual Gear given Pitch Circular Diameter
Go Radius of Curvature of Helical Gear = Pitch Circular Diameter of Helical Virtual Gear/2
Pitch Circular Diameter of Gear given Radius of Curvature
Go Pitch Circular Diameter of Helical Virtual Gear = 2*Radius of Curvature of Helical Gear
Transverse Diametrical Pitch of Helical Gear given Transverse Module
Go Transverse Diametrical Pitch of Helical Gear = 1/Transverse Module of Helical Gear

Pitch of Helical Gear given Normal Circular Pitch Formula

Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear)
p = PN/cos(ψ)

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 Pitch of Helical Gear given Normal Circular Pitch?

Pitch of Helical Gear given Normal Circular Pitch calculator uses Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear) to calculate the Pitch of Helical Gear, Pitch of Helical Gear given Normal Circular Pitch formula is defined as the pitch of helical gear teeth that is present on the plane of rotation. Pitch of Helical Gear is denoted by p symbol.

How to calculate Pitch of Helical Gear given Normal Circular Pitch using this online calculator? To use this online calculator for Pitch of Helical Gear given Normal Circular Pitch, enter Normal Circular Pitch of Helical Gear (PN) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Pitch of Helical Gear given Normal Circular Pitch calculation can be explained with given input values -> 10592.43 = 0.0096/cos(0.4363323129985).

FAQ

What is Pitch of Helical Gear given Normal Circular Pitch?
Pitch of Helical Gear given Normal Circular Pitch formula is defined as the pitch of helical gear teeth that is present on the plane of rotation and is represented as p = PN/cos(ψ) or Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear). Normal Circular Pitch of Helical Gear is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth & Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.
How to calculate Pitch of Helical Gear given Normal Circular Pitch?
Pitch of Helical Gear given Normal Circular Pitch formula is defined as the pitch of helical gear teeth that is present on the plane of rotation is calculated using Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear). To calculate Pitch of Helical Gear given Normal Circular Pitch, you need Normal Circular Pitch of Helical Gear (PN) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Normal Circular Pitch of Helical Gear & Helix Angle of Helical Gear 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 Pitch of Helical Gear?
In this formula, Pitch of Helical Gear uses Normal Circular Pitch of Helical Gear & Helix Angle of Helical Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pitch of Helical Gear = Axial Pitch of Helical Gear*tan(Helix Angle of Helical Gear)
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