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Back Cone Radius of Bevel Gear Formula

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Back cone radius is also called as back cone distance. It is length of back cone element. Check FAQs

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

r_b - Back Cone Radius?m - Module of Bevel Gear?z^' - Virtual Number of Teeth for Bevel Gear?

Back Cone Radius of Bevel Gear Example

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

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

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

66.024 = \frac{5.502 \cdot 24}{2}

66.024mm = \frac{5.502mm \cdot 24}{2}

66.024 = \frac{5.502 \cdot 24}{2}

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Back Cone Radius of Bevel Gear Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r b = \frac{5.502mm \cdot 24}{2}

Next Step Convert Units

∴

r b = \frac{0.0055m \cdot 24}{2}

Next Step Prepare to Evaluate

∴

r b = \frac{0.0055 \cdot 24}{2}

Next Step Evaluate

∴

r b = 0.066024m

LAST Step Convert to Output's Unit

∴

r b = 66.024mm

Back Cone Radius of Bevel Gear Formula Elements

Variables

Back Cone Radius

Back cone radius is also called as back cone distance. It is length of back cone element.

Symbol: r_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Back Cone Radius

Module of Bevel Gear

Module of bevel gear is the unit of size that indicates how big or small is a bevel gear.

Symbol: m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Module of Bevel Gear

Virtual Number of Teeth for Bevel Gear

Virtual Number of Teeth for Bevel Gear is imaginary spur gear teeth that are considered in a plane perpendicular to the tooth at the large end.

Symbol: z^'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Virtual Number of Teeth for Bevel Gear

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 Cone Distance of Bevel Gear

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

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

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

How to Evaluate Back Cone Radius of Bevel Gear?

Back Cone Radius of Bevel Gear evaluator uses Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2 to evaluate the Back Cone Radius, Back Cone Radius of Bevel Gear is defined as the length of the back cone element. The back cone of a bevel gear is an imaginary cone tangent to the outer ends of the teeth, with its elements perpendicular to those of the pitch cone. Back Cone Radius is denoted by r_b symbol.

How to evaluate Back Cone Radius of Bevel Gear using this online evaluator? To use this online evaluator for Back Cone Radius of Bevel Gear, enter Module of Bevel Gear (m) & Virtual Number of Teeth for Bevel Gear (z^') and hit the calculate button.

FAQs on Back Cone Radius of Bevel Gear

What is the formula to find Back Cone Radius of Bevel Gear?

The formula of Back Cone Radius of Bevel Gear is expressed as Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2. Here is an example- 66024 = (0.005502*24)/2.

How to calculate Back Cone Radius of Bevel Gear?

With Module of Bevel Gear (m) & Virtual Number of Teeth for Bevel Gear (z^') we can find Back Cone Radius of Bevel Gear using the formula - Back Cone Radius = (Module of Bevel Gear*Virtual Number of Teeth for Bevel Gear)/2.

Can the Back Cone Radius of Bevel Gear be negative?

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

Which unit is used to measure Back Cone Radius of Bevel Gear?

Back Cone Radius 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 Back Cone Radius of Bevel Gear can be measured.

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Back Cone Radius of Bevel Gear Formula

Back Cone Radius of Bevel Gear Example

Back Cone Radius of Bevel Gear Solution

Back Cone Radius of Bevel Gear Formula Elements

Other formulas in Geometric Properties category

How to Evaluate Back Cone Radius of Bevel Gear?

FAQs on Back Cone Radius of Bevel Gear

Variable Name