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

✖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.ⓘ Semi Major Axis of Helical Gear Teeth [a]			+10% -10%
✖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%

✖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 Minor Axis of Elliptical Profile given Radius of Curvature at Point [b]

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Formula

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

Formula

b = \frac{a^{2}}{r'}

Example

5.28125 mm = \frac{{19.5 mm}^{2}}{72 mm}

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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 00.004 seconds)

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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

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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