Speed Ratio for Helical Gears 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%
✖Speed of Helical Gear is the angular velocity of the helical gear (the larger of a pair of gear wheels).ⓘ Speed of Helical Gear [n_g]			+10% -10%

✖The Helical Gear Speed Ratio is the ratio of the speed of pinion to the speed of the gear.ⓘ Speed Ratio for Helical Gears [i]

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Speed Ratio for Helical Gears Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Helical Gear Speed Ratio - The Helical Gear Speed Ratio is the ratio of the speed of pinion to the speed of the gear.
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).
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).

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
Speed of Helical Gear: 8.2 Radian per Second --> 8.2 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = n_p/n_g --> 18.2/8.2

Evaluating ... ...

i = 2.21951219512195

STEP 3: Convert Result to Output's Unit

2.21951219512195 --> No Conversion Required

FINAL ANSWER

2.21951219512195 ≈ 2.219512 <-- Helical Gear Speed Ratio

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Speed Ratio for Helical Gears Formula

LaTeX Go

Helical Gear Speed Ratio = Speed of Pinion Helical Gear/Speed of Helical Gear
i = n_p/n_g

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 Speed Ratio for Helical Gears?

Speed Ratio for Helical Gears calculator uses Helical Gear Speed Ratio = Speed of Pinion Helical Gear/Speed of Helical Gear to calculate the Helical Gear Speed Ratio, The Speed Ratio for Helical Gears formula is defined as the ratio of the speed of the pinion and the gear. Helical Gear Speed Ratio is denoted by i symbol.

How to calculate Speed Ratio for Helical Gears using this online calculator? To use this online calculator for Speed Ratio for Helical Gears, enter Speed of Pinion Helical Gear (n_p) & Speed of Helical Gear (n_g) and hit the calculate button. Here is how the Speed Ratio for Helical Gears calculation can be explained with given input values -> 2.219512 = 18.2/8.2.

FAQ

What is Speed Ratio for Helical Gears?

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

How to calculate Speed Ratio for Helical Gears?

The Speed Ratio for Helical Gears formula is defined as the ratio of the speed of the pinion and the gear is calculated using Helical Gear Speed Ratio = Speed of Pinion Helical Gear/Speed of Helical Gear. To calculate Speed Ratio for Helical Gears, you need Speed of Pinion Helical Gear (n_p) & Speed of Helical Gear (n_g). With our tool, you need to enter the respective value for Speed of Pinion Helical Gear & Speed of Helical Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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