Radius of Curvature at Point on Virtual Gear Calculator

✖Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.ⓘ Diameter of Pitch Circle of Helical Gear [d]			+10% -10%
✖Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle of Helical Gear [ψ]			+10% -10%

✖Radius of Curvature of Helical Gear is the radius of a circle that touches a curve at a given point and has the same tangent and curvature at that point.ⓘ Radius of Curvature at Point on Virtual Gear [r']

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Radius of Curvature at Point on Virtual Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2)
r' = d/(2*(cos(ψ))^2)
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

Radius of Curvature of Helical Gear - (Measured in Meter) - Radius of Curvature of Helical Gear is the radius of a circle that touches a curve at a given point and has the same tangent and curvature at that point.
Diameter of Pitch Circle of Helical Gear - (Measured in Meter) - Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
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

Diameter of Pitch Circle of Helical Gear: 118 Millimeter --> 0.118 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

r' = d/(2*(cos(ψ))^2) --> 0.118/(2*(cos(0.4363323129985))^2)

Evaluating ... ...

r' = 0.0718291270911804

STEP 3: Convert Result to Output's Unit

0.0718291270911804 Meter -->71.8291270911804 Millimeter (Check conversion here)

FINAL ANSWER

71.8291270911804 ≈ 71.82913 Millimeter <-- Radius of Curvature of Helical Gear

(Calculation completed in 00.004 seconds)

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< Helix Geometry Calculators

Helix Angle of Helical Gear given Normal Circular Pitch

LaTeX 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

LaTeX Go Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear)

Normal Circular Pitch of Helical Gear

LaTeX Go Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear)

Transverse Diametrical Pitch of Helical Gear given Transverse Module

LaTeX Go Transverse Diametrical Pitch of Helical Gear = 1/Transverse Module of Helical Gear

Radius of Curvature at Point on Virtual Gear Formula

LaTeX Go

Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2)
r' = d/(2*(cos(ψ))^2)

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 Radius of Curvature at Point on Virtual Gear?

Radius of Curvature at Point on Virtual Gear calculator uses Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2) to calculate the Radius of Curvature of Helical Gear, The Radius of Curvature at Point on Virtual Gear formula is defined as the radius of a circle that touches a curve at a given point and has the same tangent and curvature at that point. Radius of Curvature of Helical Gear is denoted by r' symbol.

How to calculate Radius of Curvature at Point on Virtual Gear using this online calculator? To use this online calculator for Radius of Curvature at Point on Virtual Gear, enter Diameter of Pitch Circle of Helical Gear (d) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Radius of Curvature at Point on Virtual Gear calculation can be explained with given input values -> 71829.13 = 0.118/(2*(cos(0.4363323129985))^2).

FAQ

What is Radius of Curvature at Point on Virtual Gear?

The Radius of Curvature at Point on Virtual Gear formula is defined as the radius of a circle that touches a curve at a given point and has the same tangent and curvature at that point and is represented as r' = d/(2*(cos(ψ))^2) or Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2). Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle & 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 Radius of Curvature at Point on Virtual Gear?

The Radius of Curvature at Point on Virtual Gear formula is defined as the radius of a circle that touches a curve at a given point and has the same tangent and curvature at that point is calculated using Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2). To calculate Radius of Curvature at Point on Virtual Gear, you need Diameter of Pitch Circle of Helical Gear (d) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Diameter of Pitch Circle 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 Radius of Curvature of Helical Gear?

In this formula, Radius of Curvature of Helical Gear uses Diameter of Pitch Circle of Helical Gear & Helix Angle of Helical Gear. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radius of Curvature of Helical Gear = Semi Major Axis of Helical Gear Teeth^2/Semi Minor Axis of Helical Gear Teeth
Radius of Curvature of Helical Gear = Pitch Circular Diameter of Helical Virtual Gear/2

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