Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point Solution

STEP 0: Pre-Calculation Summary
Formula Used
Semi Minor Axis of Helical Gear Teeth = Semi Major Axis of Helical Gear Teeth^2/Radius of Curvature of Helical Gear
b = a^2/r'
This formula uses 3 Variables
Variables Used
Semi Minor Axis of Helical Gear Teeth - (Measured in Meter) - Semi Minor Axis of Helical Gear Teeth is one-half of the minor axis of the elliptical cross-section of the teeth of a helical gear.
Semi Major Axis of Helical Gear Teeth - (Measured in Meter) - Semi Major Axis of Helical Gear Teeth is one-half of the major axis of the elliptical cross-section of the teeth of a helical gear.
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
Semi Major Axis of Helical Gear Teeth: 19.5 Millimeter --> 0.0195 Meter (Check conversion here)
Radius of Curvature of Helical Gear: 72 Millimeter --> 0.072 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = a^2/r' --> 0.0195^2/0.072
Evaluating ... ...
b = 0.00528125
STEP 3: Convert Result to Output's Unit
0.00528125 Meter -->5.28125 Millimeter (Check conversion here)
FINAL ANSWER
5.28125 Millimeter <-- Semi Minor Axis of Helical Gear Teeth
(Calculation completed in 00.020 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

Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point Formula

Semi Minor Axis of Helical Gear Teeth = Semi Major Axis of Helical Gear Teeth^2/Radius of Curvature of Helical Gear
b = a^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 Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point?

Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point calculator uses Semi Minor Axis of Helical Gear Teeth = Semi Major Axis of Helical Gear Teeth^2/Radius of Curvature of Helical Gear to calculate the Semi Minor Axis of Helical Gear Teeth, Semi Minor Axis of elliptical profile given Radius of curvature at point formula is defined as a line segment that is at right angles with the semi-major axis and has one end at the center of the conic section. Semi Minor Axis of Helical Gear Teeth is denoted by b symbol.

How to calculate Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point using this online calculator? To use this online calculator for Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point, enter Semi Major Axis of Helical Gear Teeth (a) & Radius of Curvature of Helical Gear (r') and hit the calculate button. Here is how the Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point calculation can be explained with given input values -> 5281.25 = 0.0195^2/0.072.

FAQ

What is Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point?
Semi Minor Axis of elliptical profile given Radius of curvature at point formula is defined as a line segment that is at right angles with the semi-major axis and has one end at the center of the conic section and is represented as b = a^2/r' or Semi Minor Axis of Helical Gear Teeth = Semi Major Axis of Helical Gear Teeth^2/Radius of Curvature of Helical Gear. Semi Major Axis of Helical Gear Teeth is one-half of the major axis of the elliptical cross-section of the teeth of a 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 Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point?
Semi Minor Axis of elliptical profile given Radius of curvature at point formula is defined as a line segment that is at right angles with the semi-major axis and has one end at the center of the conic section is calculated using Semi Minor Axis of Helical Gear Teeth = Semi Major Axis of Helical Gear Teeth^2/Radius of Curvature of Helical Gear. To calculate Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point, you need Semi Major Axis of Helical Gear Teeth (a) & Radius of Curvature of Helical Gear (r'). With our tool, you need to enter the respective value for Semi Major Axis of Helical Gear Teeth & 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.
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