Radius of Curvature of Virtual Gear given Pitch Circular Diameter Calculator

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Design of Gears

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Design of Helical Gears

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Helix Geometry

Core Design Parameters

✖Pitch Circular Diameter of Helical Virtual Gear is the diameter of the circle which passes through the center of all the virtual gears.ⓘ Pitch Circular Diameter of Helical Virtual Gear [d']

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✖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 of Virtual Gear given Pitch Circular Diameter [r']

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Formula

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Radius of Curvature of Virtual Gear given Pitch Circular Diameter

Formula

`"r'" = "d'"/2`

Example

`"71.5mm"="143mm"/2`

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Radius of Curvature of Virtual Gear given Pitch Circular Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Curvature of Helical Gear = Pitch Circular Diameter of Helical Virtual Gear/2
r' = d'/2
This formula uses 2 Variables

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.
Pitch Circular Diameter of Helical Virtual Gear - (Measured in Meter) - Pitch Circular Diameter of Helical Virtual Gear is the diameter of the circle which passes through the center of all the virtual gears.

STEP 1: Convert Input(s) to Base Unit

Pitch Circular Diameter of Helical Virtual Gear: 143 Millimeter --> 0.143 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r' = d'/2 --> 0.143/2

Evaluating ... ...

r' = 0.0715

STEP 3: Convert Result to Output's Unit

0.0715 Meter -->71.5 Millimeter (Check conversion here)

FINAL ANSWER

71.5 Millimeter <-- Radius of Curvature of Helical Gear

(Calculation completed in 00.006 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Helix Geometry » Radius of Curvature of Virtual Gear given Pitch Circular Diameter

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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

Radius of Curvature of Virtual Gear given Pitch Circular Diameter Formula

Radius of Curvature of Helical Gear = Pitch Circular Diameter of Helical Virtual Gear/2
r' = d'/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 of Virtual Gear given Pitch Circular Diameter?

Radius of Curvature of Virtual Gear given Pitch Circular Diameter calculator uses Radius of Curvature of Helical Gear = Pitch Circular Diameter of Helical Virtual Gear/2 to calculate the Radius of Curvature of Helical Gear, The Radius of Curvature of Virtual Gear given Pitch Circular Diameter 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 of Virtual Gear given Pitch Circular Diameter using this online calculator? To use this online calculator for Radius of Curvature of Virtual Gear given Pitch Circular Diameter, enter Pitch Circular Diameter of Helical Virtual Gear (d') and hit the calculate button. Here is how the Radius of Curvature of Virtual Gear given Pitch Circular Diameter calculation can be explained with given input values -> 71500 = 0.143/2.

FAQ

What is Radius of Curvature of Virtual Gear given Pitch Circular Diameter?

How to calculate Radius of Curvature of Virtual Gear given Pitch Circular Diameter?

The Radius of Curvature of Virtual Gear given Pitch Circular Diameter 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 = Pitch Circular Diameter of Helical Virtual Gear/2. To calculate Radius of Curvature of Virtual Gear given Pitch Circular Diameter, you need Pitch Circular Diameter of Helical Virtual Gear (d'). With our tool, you need to enter the respective value for Pitch Circular Diameter of Helical Virtual 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 Pitch Circular Diameter of Helical Virtual 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 = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2)

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