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Actual Number of Teeth on Bevel Gear Formula

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Number of Teeth on Bevel Gear is the total number of teeth on the peripheral surface of gear and they mesh with the teeth of some other gear or toothed machine element. Check FAQs

z g = z' \cdot \cos (γ)

z_g - Number of Teeth on Bevel Gear?z^' - Virtual Number of Teeth for Bevel Gear?γ - Pitch Angle for Bevel Gear?

Actual Number of Teeth on Bevel Gear Example

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Here is how the Actual Number of Teeth on Bevel Gear equation looks like with Values.

Here is how the Actual Number of Teeth on Bevel Gear equation looks like with Units.

Here is how the Actual Number of Teeth on Bevel Gear equation looks like.

12 = 24 \cdot \cos (60)

12 = 24 \cdot \cos (60°)

12 = 24 \cdot \cos (60)

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Actual Number of Teeth on Bevel Gear Solution

Follow our step by step solution on how to calculate Actual Number of Teeth on Bevel Gear?

FIRST Step Consider the formula

z g = z' \cdot \cos (γ)

Next Step Substitute values of Variables

∴

z g = 24 \cdot \cos (60°)

Next Step Convert Units

∴

z g = 24 \cdot \cos (1.0472rad)

Next Step Prepare to Evaluate

∴

z g = 24 \cdot \cos (1.0472)

Next Step Evaluate

∴

z g = 12.0000000000041

LAST Step Rounding Answer

∴

z g = 12

Actual Number of Teeth on Bevel Gear Formula Elements

Variables

Functions

Number of Teeth on Bevel Gear

Number of Teeth on Bevel Gear is the total number of teeth on the peripheral surface of gear and they mesh with the teeth of some other gear or toothed machine element.

Symbol: z_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on 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

Pitch Angle for Bevel Gear

Pitch Angle for Bevel Gear is the angle that the pitch line makes with the axis of the gear. The pitch angle is also known as center angle.

Symbol: γ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pitch Angle for Bevel Gear

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Geometric Properties category

Go Virtual or Formative Number of Teeth of Bevel Gear

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

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}

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

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

How to Evaluate Actual Number of Teeth on Bevel Gear?

Actual Number of Teeth on Bevel Gear evaluator uses Number of Teeth on Bevel Gear = Virtual Number of Teeth for Bevel Gear*cos(Pitch Angle for Bevel Gear) to evaluate the Number of Teeth on Bevel Gear, Actual Number of Teeth on Bevel Gear is defined as the number of the gear teeth that mesh with another toothed part to transmit motion or to change speed or direction. Number of Teeth on Bevel Gear is denoted by z_g symbol.

How to evaluate Actual Number of Teeth on Bevel Gear using this online evaluator? To use this online evaluator for Actual Number of Teeth on Bevel Gear, enter Virtual Number of Teeth for Bevel Gear (z^') & Pitch Angle for Bevel Gear (γ) and hit the calculate button.

FAQs on Actual Number of Teeth on Bevel Gear

What is the formula to find Actual Number of Teeth on Bevel Gear?

The formula of Actual Number of Teeth on Bevel Gear is expressed as Number of Teeth on Bevel Gear = Virtual Number of Teeth for Bevel Gear*cos(Pitch Angle for Bevel Gear). Here is an example- 12 = 24*cos(1.0471975511964).

How to calculate Actual Number of Teeth on Bevel Gear?

With Virtual Number of Teeth for Bevel Gear (z^') & Pitch Angle for Bevel Gear (γ) we can find Actual Number of Teeth on Bevel Gear using the formula - Number of Teeth on Bevel Gear = Virtual Number of Teeth for Bevel Gear*cos(Pitch Angle for Bevel Gear). This formula also uses Cosine (cos) function(s).

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Actual Number of Teeth on Bevel Gear Formula

Actual Number of Teeth on Bevel Gear Example

Actual Number of Teeth on Bevel Gear Solution

Actual Number of Teeth on Bevel Gear Formula Elements

Other formulas in Geometric Properties category

How to Evaluate Actual Number of Teeth on Bevel Gear?

FAQs on Actual Number of Teeth on Bevel Gear

Variable Name