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Cone Distance of Bevel Gear Formula

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Cone distance is the length of the pitch-cone element and is also called the pitch-cone radius. Check FAQs

A 0 = \sqrt{{(\frac{D p}{2})}^{2} + {(\frac{D g}{2})}^{2}}

A₀ - Cone Distance?D_p - Pitch Circle Diameter of Bevel Pinion?D_g - Pitch Circle Diameter of Gear?

Cone Distance of Bevel Gear Example

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Here is how the Cone Distance of Bevel Gear equation looks like with Values.

Here is how the Cone Distance of Bevel Gear equation looks like with Units.

Here is how the Cone Distance of Bevel Gear equation looks like.

70.0206 = \sqrt{{(\frac{76.5}{2})}^{2} + {(\frac{117.3}{2})}^{2}}

70.0206mm = \sqrt{{(\frac{76.5mm}{2})}^{2} + {(\frac{117.3mm}{2})}^{2}}

70.0206 = \sqrt{{(\frac{76.5}{2})}^{2} + {(\frac{117.3}{2})}^{2}}

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Cone Distance of Bevel Gear Solution

Follow our step by step solution on how to calculate Cone Distance of Bevel Gear?

FIRST Step Consider the formula

A 0 = \sqrt{{(\frac{D p}{2})}^{2} + {(\frac{D g}{2})}^{2}}

Next Step Substitute values of Variables

∴

A 0 = \sqrt{{(\frac{76.5mm}{2})}^{2} + {(\frac{117.3mm}{2})}^{2}}

Next Step Convert Units

∴

A 0 = \sqrt{{(\frac{0.0765m}{2})}^{2} + {(\frac{0.1173m}{2})}^{2}}

Next Step Prepare to Evaluate

∴

A 0 = \sqrt{{(\frac{0.0765}{2})}^{2} + {(\frac{0.1173}{2})}^{2}}

Next Step Evaluate

∴

A 0 = 0.0700206041105045m

Next Step Convert to Output's Unit

∴

A 0 = 70.0206041105045mm

LAST Step Rounding Answer

∴

A 0 = 70.0206mm

Cone Distance of Bevel Gear Formula Elements

Variables

Functions

Cone Distance

Cone distance is the length of the pitch-cone element and is also called the pitch-cone radius.

Symbol: A₀

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Cone Distance

Pitch Circle Diameter of Bevel Pinion

Pitch circle diameter of bevel pinion is twice the distance from the center of the gear to the pitch point. This is where the gear's speed is measured.

Symbol: D_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Bevel Pinion

Pitch Circle Diameter of Gear

The Pitch Circle Diameter of Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

Symbol: D_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Gear

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.

Syntax: sqrt(Number)

Other formulas in Geometric Properties category

Go Virtual or Formative Number of Teeth of Bevel Gear

z' = \frac{2 \cdot r b}{m}

Go Actual Number of Teeth on Bevel Gear

z g = z' \cdot \cos (γ)

Go Radius of Pinion at Midpoint along Face Width for Bevel Gear

r m = \frac{D p - (b \cdot \sin (γ))}{2}

Go Radius of Pinion at Midpoint given Torque and Tangential Force for Bevel Gear

r m = \frac{M t}{P t}

How to Evaluate Cone Distance of Bevel Gear?

Cone Distance of Bevel Gear evaluator uses Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2) to evaluate the Cone Distance, Cone distance of bevel gear is the general term for the distance along with an element of the pitch cone from the apex to any given position in the teeth. Outer cone distance in bevel gears is the distance from the apex of the pitch cone to the outer ends of the teeth. Cone Distance is denoted by A₀ symbol.

How to evaluate Cone Distance of Bevel Gear using this online evaluator? To use this online evaluator for Cone Distance of Bevel Gear, enter Pitch Circle Diameter of Bevel Pinion (D_p) & Pitch Circle Diameter of Gear (D_g) and hit the calculate button.

FAQs on Cone Distance of Bevel Gear

What is the formula to find Cone Distance of Bevel Gear?

The formula of Cone Distance of Bevel Gear is expressed as Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2). Here is an example- 70020.6 = sqrt((0.0765/2)^2+(0.1173/2)^2).

How to calculate Cone Distance of Bevel Gear?

With Pitch Circle Diameter of Bevel Pinion (D_p) & Pitch Circle Diameter of Gear (D_g) we can find Cone Distance of Bevel Gear using the formula - Cone Distance = sqrt((Pitch Circle Diameter of Bevel Pinion/2)^2+(Pitch Circle Diameter of Gear/2)^2). This formula also uses Square Root (sqrt) function(s).

Can the Cone Distance of Bevel Gear be negative?

No, the Cone Distance of Bevel Gear, measured in Length cannot be negative.

Which unit is used to measure Cone Distance of Bevel Gear?

Cone Distance of Bevel Gear is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Cone Distance of Bevel Gear can be measured.

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Cone Distance of Bevel Gear Formula

Cone Distance of Bevel Gear Example

Cone Distance of Bevel Gear Solution

Cone Distance of Bevel Gear Formula Elements

Other formulas in Geometric Properties category

How to Evaluate Cone Distance of Bevel Gear?

FAQs on Cone Distance of Bevel Gear

Variable Name