FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Actual Number of Teeth on Gear given Virtual Number of Teeth Formula

GoNumber of Teeth on Gear given Pitch Circle Diameter Formula

GoNumber of Teeth on Helical Gear given Speed Ratio for Helical Gears Formula

Fx Copy

LaTeX Copy

Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration. Check FAQs

z = {(\cos (ψ))}^{3} \cdot z'

z - Number of Teeth on Helical Gear?ψ - Helix Angle of Helical Gear?z' - Virtual Number of Teeth on Helical Gear?

Actual Number of Teeth on Gear given Virtual Number of Teeth Example

With values

With units

Only example

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

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

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

40.1995 = {(\cos (25))}^{3} \cdot 54

40.1995 = {(\cos (25°))}^{3} \cdot 54

40.1995 = {(\cos (25))}^{3} \cdot 54

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Machine Elements » fx Actual Number of Teeth on Gear given Virtual Number of Teeth

Actual Number of Teeth on Gear given Virtual Number of Teeth Solution

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

FIRST Step Consider the formula

z = {(\cos (ψ))}^{3} \cdot z'

Next Step Substitute values of Variables

∴

z = {(\cos (25°))}^{3} \cdot 54

Next Step Convert Units

∴

z = {(\cos (0.4363rad))}^{3} \cdot 54

Next Step Prepare to Evaluate

∴

z = {(\cos (0.4363))}^{3} \cdot 54

Next Step Evaluate

∴

z = 40.199522483873

LAST Step Rounding Answer

∴

z = 40.1995

Actual Number of Teeth on Gear given Virtual Number of Teeth Formula Elements

Variables

Functions

Number of Teeth on Helical Gear

Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Helical Gear

Helix Angle of Helical Gear

Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix Angle of Helical Gear

Virtual Number of Teeth on Helical Gear

The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.

Symbol: z'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Virtual Number of Teeth on Helical 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 to find Number of Teeth on Helical Gear

Go Number of Teeth on Gear given Pitch Circle Diameter

z = d \cdot \frac{\cos (ψ)}{m n}

Go Number of Teeth on Helical Gear given Speed Ratio for Helical Gears

z = Z p \cdot i

Go Number of Teeth on Gear given Addendum Circle Diameter

z = (\frac{d a}{m n} - 2) \cdot \cos (ψ)

Other formulas in Core Design Parameters category

Go Transverse Module of Helical Gear given Transverse Diametrical Pitch

m = \frac{1}{P}

Go Normal Module of Helical Gear

m n = m \cdot \cos (ψ)

Go Transverse Module of Helical Gear given Normal Module

m = \frac{m n}{\cos (ψ)}

Go Pitch Circle Diameter of Helical Gear

d = z \cdot \frac{m n}{\cos (ψ)}

How to Evaluate Actual Number of Teeth on Gear given Virtual Number of Teeth?

Actual Number of Teeth on Gear given Virtual Number of Teeth evaluator uses Number of Teeth on Helical Gear = (cos(Helix Angle of Helical Gear))^(3)*Virtual Number of Teeth on Helical Gear to evaluate the Number of Teeth on Helical Gear, Actual Number of Teeth on Gear given Virtual Number of Teeth formula is defined as the actual number of Gear Teeth that are present on the Gear. Number of Teeth on Helical Gear is denoted by z symbol.

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

FAQs on Actual Number of Teeth on Gear given Virtual Number of Teeth

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

The formula of Actual Number of Teeth on Gear given Virtual Number of Teeth is expressed as Number of Teeth on Helical Gear = (cos(Helix Angle of Helical Gear))^(3)*Virtual Number of Teeth on Helical Gear. Here is an example- 40.19952 = (cos(0.4363323129985))^(3)*54.

How to calculate Actual Number of Teeth on Gear given Virtual Number of Teeth?

With Helix Angle of Helical Gear (ψ) & Virtual Number of Teeth on Helical Gear (z') we can find Actual Number of Teeth on Gear given Virtual Number of Teeth using the formula - Number of Teeth on Helical Gear = (cos(Helix Angle of Helical Gear))^(3)*Virtual Number of Teeth on Helical Gear. This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Number of Teeth on Helical Gear?

Here are the different ways to Calculate Number of Teeth on Helical Gear-

Number of Teeth on Helical Gear=Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear
Number of Teeth on Helical Gear=Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
Number of Teeth on Helical Gear=(Addendum Circle Diameter of Helical Gear/Normal Module of Helical Gear-2)*cos(Helix Angle of Helical Gear)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit