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

✖Number of Teeth on Helical Pinion is the count of teeth on the smaller gear of the pair of a helical gear.ⓘ Number of Teeth on Helical Pinion [Z_p]			+10% -10%
✖The Helical Gear Speed Ratio is the ratio of the speed of pinion to the speed of the gear.ⓘ Helical Gear Speed Ratio [i]			+10% -10%

✖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.ⓘ Number of Teeth on Helical Gear given Speed Ratio for Helical Gears [z]

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

STEP 0: Pre-Calculation Summary

Formula Used

Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
z = Z_p*i
This formula uses 3 Variables

Variables Used

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.
Number of Teeth on Helical Pinion - Number of Teeth on Helical Pinion is the count of teeth on the smaller gear of the pair of a helical gear.
Helical Gear Speed Ratio - The Helical Gear Speed Ratio is the ratio of the speed of pinion to the speed of the gear.

STEP 1: Convert Input(s) to Base Unit

Number of Teeth on Helical Pinion: 20 --> No Conversion Required
Helical Gear Speed Ratio: 2.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = Z_p*i --> 20*2.2

Evaluating ... ...

z = 44

STEP 3: Convert Result to Output's Unit

44 --> No Conversion Required

FINAL ANSWER

44 <-- Number of Teeth on Helical Gear

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Mechanical » Core Design Parameters » Number of Teeth on Helical Gear given Speed Ratio for Helical Gears

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Core Design Parameters Calculators

Pitch Circle Diameter of Helical Gear

LaTeX Go Diameter of Pitch Circle of Helical Gear = Number of Teeth on Helical Gear*Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)

Transverse Module of Helical Gear given Normal Module

LaTeX Go Transverse Module of Helical Gear = Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)

Normal Module of Helical Gear

LaTeX Go Normal Module of Helical Gear = Transverse Module of Helical Gear*cos(Helix Angle of Helical Gear)

Transverse Module of Helical Gear given Transverse Diametrical Pitch

LaTeX Go Transverse Module of Helical Gear = 1/Transverse Diametrical Pitch of Helical Gear

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

LaTeX Go

Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
z = Z_p*i

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

Number of Teeth on Helical Gear given Speed Ratio for Helical Gears calculator uses Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio to calculate the Number of Teeth on Helical Gear, Number of Teeth on Helical Gear given Speed Ratio for Helical Gears formula is defined as the number of protrusions onto the periphery of a gear that mesh with teeth of another gear to transmit motion. Number of Teeth on Helical Gear is denoted by z symbol.

How to calculate Number of Teeth on Helical Gear given Speed Ratio for Helical Gears using this online calculator? To use this online calculator for Number of Teeth on Helical Gear given Speed Ratio for Helical Gears, enter Number of Teeth on Helical Pinion (Z_p) & Helical Gear Speed Ratio (i) and hit the calculate button. Here is how the Number of Teeth on Helical Gear given Speed Ratio for Helical Gears calculation can be explained with given input values -> 44 = 20*2.2.

FAQ

What is Number of Teeth on Helical Gear given Speed Ratio for Helical Gears?

Number of Teeth on Helical Gear given Speed Ratio for Helical Gears formula is defined as the number of protrusions onto the periphery of a gear that mesh with teeth of another gear to transmit motion and is represented as z = Z_p*i or Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio. Number of Teeth on Helical Pinion is the count of teeth on the smaller gear of the pair of a helical gear & The Helical Gear Speed Ratio is the ratio of the speed of pinion to the speed of the gear.

How to calculate Number of Teeth on Helical Gear given Speed Ratio for Helical Gears?

Number of Teeth on Helical Gear given Speed Ratio for Helical Gears formula is defined as the number of protrusions onto the periphery of a gear that mesh with teeth of another gear to transmit motion is calculated using Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio. To calculate Number of Teeth on Helical Gear given Speed Ratio for Helical Gears, you need Number of Teeth on Helical Pinion (Z_p) & Helical Gear Speed Ratio (i). With our tool, you need to enter the respective value for Number of Teeth on Helical Pinion & Helical Gear Speed Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Number of Teeth on Helical Gear?

In this formula, Number of Teeth on Helical Gear uses Number of Teeth on Helical Pinion & Helical Gear Speed Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = (Addendum Circle Diameter of Helical Gear/Normal Module of Helical Gear-2)*cos(Helix Angle of Helical Gear)
Number of Teeth on Helical Gear = (cos(Helix Angle of Helical Gear))^(3)*Virtual Number of Teeth on Helical Gear

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