Number of Teeth on Pinion given Speed Ratio Calculator

✖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 [z]			+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 Pinion is the count of teeth on the smaller gear of the pair of a helical gear.ⓘ Number of Teeth on Pinion given Speed Ratio [Z_p]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Helical Gears Formulas PDF PDF Image

Number of Teeth on Pinion given Speed Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 Gear: 37 --> No Conversion Required
Helical Gear Speed Ratio: 2.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_p = z/i --> 37/2.2

Evaluating ... ...

Z_p = 16.8181818181818

STEP 3: Convert Result to Output's Unit

16.8181818181818 --> No Conversion Required

FINAL ANSWER

16.8181818181818 ≈ 16.81818 <-- Number of Teeth on Helical Pinion

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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 Pinion given Speed Ratio Formula

LaTeX Go

Number of Teeth on Helical Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio
Z_p = z/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 Pinion given Speed Ratio?

Number of Teeth on Pinion given Speed Ratio calculator uses Number of Teeth on Helical Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio to calculate the Number of Teeth on Helical Pinion, The Number of Teeth on Pinion given Speed Ratio 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 Pinion is denoted by Z_p symbol.

How to calculate Number of Teeth on Pinion given Speed Ratio using this online calculator? To use this online calculator for Number of Teeth on Pinion given Speed Ratio, enter Number of Teeth on Helical Gear (z) & Helical Gear Speed Ratio (i) and hit the calculate button. Here is how the Number of Teeth on Pinion given Speed Ratio calculation can be explained with given input values -> 16.81818 = 37/2.2.

FAQ

What is Number of Teeth on Pinion given Speed Ratio?

The Number of Teeth on Pinion given Speed Ratio 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_p = z/i or Number of Teeth on Helical Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio. 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 & 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 Pinion given Speed Ratio?

The Number of Teeth on Pinion given Speed Ratio 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 Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio. To calculate Number of Teeth on Pinion given Speed Ratio, you need Number of Teeth on Helical Gear (z) & Helical Gear Speed Ratio (i). With our tool, you need to enter the respective value for Number of Teeth on Helical Gear & 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.

Home

FREE PDFs

🔍 Search