Pitch Circular Diameter of Gear given Radius of Curvature Calculator

✖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 Helical Gear [r']

+10%

-10%

✖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 Gear given Radius of Curvature [d']

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Helical Gears Formulas PDF PDF Image

Pitch Circular Diameter of Gear given Radius of Curvature Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Curvature of Helical Gear: 72 Millimeter --> 0.072 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d' = 2*r' --> 2*0.072

Evaluating ... ...

d' = 0.144

STEP 3: Convert Result to Output's Unit

0.144 Meter -->144 Millimeter (Check conversion here)

FINAL ANSWER

144 Millimeter <-- Pitch Circular Diameter of Helical Virtual Gear

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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

Pitch Circular Diameter of Gear given Radius of Curvature Formula

LaTeX Go

Pitch Circular Diameter of Helical Virtual Gear = 2*Radius of Curvature of Helical Gear
d' = 2*r'

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 Circular Diameter of Gear given Radius of Curvature?

Pitch Circular Diameter of Gear given Radius of Curvature calculator uses Pitch Circular Diameter of Helical Virtual Gear = 2*Radius of Curvature of Helical Gear to calculate the Pitch Circular Diameter of Helical Virtual Gear, Pitch Circular Diameter of Gear given Radius of Curvature formula is the diameter of the imaginary circle on the gear about which it may be supposed to roll without slipping with the pitch circle of another gear. The point of contact of the two pitch circles becomes the pitch point. Pitch Circular Diameter of Helical Virtual Gear is denoted by d' symbol.

How to calculate Pitch Circular Diameter of Gear given Radius of Curvature using this online calculator? To use this online calculator for Pitch Circular Diameter of Gear given Radius of Curvature, enter Radius of Curvature of Helical Gear (r') and hit the calculate button. Here is how the Pitch Circular Diameter of Gear given Radius of Curvature calculation can be explained with given input values -> 144000 = 2*0.072.

FAQ

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

Pitch Circular Diameter of Gear given Radius of Curvature formula is the diameter of the imaginary circle on the gear about which it may be supposed to roll without slipping with the pitch circle of another gear. The point of contact of the two pitch circles becomes the pitch point and is represented as d' = 2*r' or Pitch Circular Diameter of Helical Virtual Gear = 2*Radius of Curvature of Helical Gear. 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.

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

Pitch Circular Diameter of Gear given Radius of Curvature formula is the diameter of the imaginary circle on the gear about which it may be supposed to roll without slipping with the pitch circle of another gear. The point of contact of the two pitch circles becomes the pitch point is calculated using Pitch Circular Diameter of Helical Virtual Gear = 2*Radius of Curvature of Helical Gear. To calculate Pitch Circular Diameter of Gear given Radius of Curvature, you need Radius of Curvature of Helical Gear (r'). With our tool, you need to enter the respective value for Radius of Curvature of Helical Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search