Radius of Curvature of Virtual Gear given Pitch Circular Diameter Calculator

✖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' = \frac{d'}{2}

Example

71.5 mm = \frac{143 mm}{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 00.004 seconds)

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

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Helix Geometry Calculators

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)

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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