Radius of Curvature of Virtual Gear given Virtual Number of Teeth Calculator

✖The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.ⓘ Virtual Number of Teeth on Helical Gear [z']			+10% -10%
✖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.ⓘ Normal Circular Pitch of Helical Gear [P_N]			+10% -10%

✖Virtual Pitch Circle Radius for Helical Gear is the radius of the imaginary spur gear.ⓘ Radius of Curvature of Virtual Gear given Virtual Number of Teeth [r_vh]

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Radius of Curvature of Virtual Gear given Virtual Number of Teeth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi)
r_vh = z'*P_N/(2*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Virtual Pitch Circle Radius for Helical Gear - (Measured in Meter) - Virtual Pitch Circle Radius for Helical Gear is the radius of the imaginary spur gear.
Virtual Number of Teeth on Helical Gear - The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.
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.

STEP 1: Convert Input(s) to Base Unit

Virtual Number of Teeth on Helical Gear: 54 --> No Conversion Required
Normal Circular Pitch of Helical Gear: 9.6 Millimeter --> 0.0096 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_vh = z'*P_N/(2*pi) --> 54*0.0096/(2*pi)

Evaluating ... ...

r_vh = 0.0825059224988385

STEP 3: Convert Result to Output's Unit

0.0825059224988385 Meter -->82.5059224988385 Millimeter (Check conversion here)

FINAL ANSWER

82.5059224988385 ≈ 82.50592 Millimeter <-- Virtual Pitch Circle Radius for 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 Virtual Number of Teeth

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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 of Virtual Gear given Virtual Number of Teeth Formula

LaTeX Go

Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi)
r_vh = z'*P_N/(2*pi)

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 Virtual Number of Teeth?

Radius of Curvature of Virtual Gear given Virtual Number of Teeth calculator uses Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi) to calculate the Virtual Pitch Circle Radius for Helical Gear, The Radius of Curvature of Virtual Gear given Virtual Number of Teeth 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. Virtual Pitch Circle Radius for Helical Gear is denoted by r_vh symbol.

How to calculate Radius of Curvature of Virtual Gear given Virtual Number of Teeth using this online calculator? To use this online calculator for Radius of Curvature of Virtual Gear given Virtual Number of Teeth, enter Virtual Number of Teeth on Helical Gear (z') & Normal Circular Pitch of Helical Gear (P_N) and hit the calculate button. Here is how the Radius of Curvature of Virtual Gear given Virtual Number of Teeth calculation can be explained with given input values -> 82505.92 = 54*0.0096/(2*pi).

FAQ

What is Radius of Curvature of Virtual Gear given Virtual Number of Teeth?

The Radius of Curvature of Virtual Gear given Virtual Number of Teeth 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_vh = z'*P_N/(2*pi) or Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi). The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual 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.

How to calculate Radius of Curvature of Virtual Gear given Virtual Number of Teeth?

The Radius of Curvature of Virtual Gear given Virtual Number of Teeth 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 Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi). To calculate Radius of Curvature of Virtual Gear given Virtual Number of Teeth, you need Virtual Number of Teeth on Helical Gear (z') & Normal Circular Pitch of Helical Gear (P_N). With our tool, you need to enter the respective value for Virtual Number of Teeth on Helical Gear & Normal Circular Pitch of Helical Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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