Semi Major Axis of Elliptical Profile given Radius of Curvature at Point 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%
✖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 Helical Gear Teeth [b]			+10% -10%

✖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 Elliptical Profile given Radius of Curvature at Point [a]

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

STEP 0: Pre-Calculation Summary

Formula Used

Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth)
a = sqrt(r'*b)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Curvature of Helical Gear: 72 Millimeter --> 0.072 Meter (Check conversion here)
Semi Minor Axis of Helical Gear Teeth: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = sqrt(r'*b) --> sqrt(0.072*0.0055)

Evaluating ... ...

a = 0.0198997487421324

STEP 3: Convert Result to Output's Unit

0.0198997487421324 Meter -->19.8997487421324 Millimeter (Check conversion here)

FINAL ANSWER

19.8997487421324 ≈ 19.89975 Millimeter <-- Semi Major Axis of Helical Gear Teeth

(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 » Semi Major Axis of Elliptical Profile given Radius of Curvature at Point

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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

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

LaTeX Go

Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth)
a = sqrt(r'*b)

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 Major Axis of Elliptical Profile given Radius of Curvature at Point?

Semi Major Axis of Elliptical Profile given Radius of Curvature at Point calculator uses Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth) to calculate the Semi Major Axis of Helical Gear Teeth, Semi Major 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-minor axis and has one end at the center of the conic section. Semi Major Axis of Helical Gear Teeth is denoted by a symbol.

How to calculate Semi Major Axis of Elliptical Profile given Radius of Curvature at Point using this online calculator? To use this online calculator for Semi Major Axis of Elliptical Profile given Radius of Curvature at Point, enter Radius of Curvature of Helical Gear (r') & Semi Minor Axis of Helical Gear Teeth (b) and hit the calculate button. Here is how the Semi Major Axis of Elliptical Profile given Radius of Curvature at Point calculation can be explained with given input values -> 19899.75 = sqrt(0.072*0.0055).

FAQ

What is Semi Major Axis of Elliptical Profile given Radius of Curvature at Point?

Semi Major 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-minor axis and has one end at the center of the conic section and is represented as a = sqrt(r'*b) or Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth). 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 & 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.

How to calculate Semi Major Axis of Elliptical Profile given Radius of Curvature at Point?

Semi Major 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-minor axis and has one end at the center of the conic section is calculated using Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth). To calculate Semi Major Axis of Elliptical Profile given Radius of Curvature at Point, you need Radius of Curvature of Helical Gear (r') & Semi Minor Axis of Helical Gear Teeth (b). With our tool, you need to enter the respective value for Radius of Curvature of Helical Gear & Semi Minor Axis of Helical Gear Teeth 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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