Angular Velocity of Gear given Speed Ratio Calculator

✖Speed of Pinion Helical Gear is the angular velocity of the gear (the smaller of a pair of gear wheels).ⓘ Speed of Pinion Helical Gear [n_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%

✖Speed of Helical Gear is the angular velocity of the helical gear (the larger of a pair of gear wheels).ⓘ Angular Velocity of Gear given Speed Ratio [n_g]

⎘ Copy

👎

Formula

✖

Angular Velocity of Gear given Speed Ratio

Formula

n g = \frac{n p}{i}

Example

8.272727 rad/s = \frac{18.2 rad/s}{2.2}

Calculator

LaTeX

Reset

👍

Download Design of Helical Gears Formulas PDF PDF Image

Angular Velocity of Gear given Speed Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio
n_g = n_p/i
This formula uses 3 Variables

Variables Used

Speed of Helical Gear - (Measured in Radian per Second) - Speed of Helical Gear is the angular velocity of the helical gear (the larger of a pair of gear wheels).
Speed of Pinion Helical Gear - (Measured in Radian per Second) - Speed of Pinion Helical Gear is the angular velocity of the gear (the smaller of a pair of gear wheels).
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

Speed of Pinion Helical Gear: 18.2 Radian per Second --> 18.2 Radian per Second No Conversion Required
Helical Gear Speed Ratio: 2.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_g = n_p/i --> 18.2/2.2

Evaluating ... ...

n_g = 8.27272727272727

STEP 3: Convert Result to Output's Unit

8.27272727272727 Radian per Second --> No Conversion Required

FINAL ANSWER

8.27272727272727 ≈ 8.272727 Radian per Second <-- Speed of Helical Gear

(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 » Angular Velocity of Gear 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

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

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

Normal Module of Helical Gear

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

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

Angular Velocity of Gear given Speed Ratio Formula

Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio
n_g = n_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 Angular Velocity of Gear given Speed Ratio?

Angular Velocity of Gear given Speed Ratio calculator uses Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio to calculate the Speed of Helical Gear, The Angular Velocity of Gear given Speed Ratio formula is defined as the speed of rotation of the gear or the larger gear. Speed of Helical Gear is denoted by n_g symbol.

How to calculate Angular Velocity of Gear given Speed Ratio using this online calculator? To use this online calculator for Angular Velocity of Gear given Speed Ratio, enter Speed of Pinion Helical Gear (n_p) & Helical Gear Speed Ratio (i) and hit the calculate button. Here is how the Angular Velocity of Gear given Speed Ratio calculation can be explained with given input values -> 8.272727 = 18.2/2.2.

FAQ

What is Angular Velocity of Gear given Speed Ratio?

The Angular Velocity of Gear given Speed Ratio formula is defined as the speed of rotation of the gear or the larger gear and is represented as n_g = n_p/i or Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio. Speed of Pinion Helical Gear is the angular velocity of the gear (the smaller of a pair of gear wheels) & The Helical Gear Speed Ratio is the ratio of the speed of pinion to the speed of the gear.

How to calculate Angular Velocity of Gear given Speed Ratio?

The Angular Velocity of Gear given Speed Ratio formula is defined as the speed of rotation of the gear or the larger gear is calculated using Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio. To calculate Angular Velocity of Gear given Speed Ratio, you need Speed of Pinion Helical Gear (n_p) & Helical Gear Speed Ratio (i). With our tool, you need to enter the respective value for Speed of Pinion 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