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)
rvh = z'*PN/(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
rvh = z'*PN/(2*pi) --> 54*0.0096/(2*pi)
Evaluating ... ...
rvh = 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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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 Virtual Number of Teeth Formula

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