Angular Velocity of Pinion given Speed Ratio Calculator

✖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).ⓘ Speed of Helical Gear [n_g]			+10% -10%

✖Speed of Pinion Helical Gear is the angular velocity of the gear (the smaller of a pair of gear wheels).ⓘ Angular Velocity of Pinion given Speed Ratio [n_p]

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Formula

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Angular Velocity of Pinion given Speed Ratio

Formula

n p = i \cdot n g

Example

18.04 rad/s = 2.2 \cdot 8.2 rad/s

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Angular Velocity of Pinion given Speed Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Helical Gear Speed Ratio: 2.2 --> 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

n_p = i*n_g --> 2.2*8.2

Evaluating ... ...

n_p = 18.04

STEP 3: Convert Result to Output's Unit

18.04 Radian per Second --> No Conversion Required

FINAL ANSWER

18.04 Radian per Second <-- Speed of Pinion Helical Gear

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 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 Pinion given Speed Ratio Formula

Speed of Pinion Helical Gear = Helical Gear Speed Ratio*Speed of Helical Gear
n_p = i*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 Angular Velocity of Pinion given Speed Ratio?

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

How to calculate Angular Velocity of Pinion given Speed Ratio using this online calculator? To use this online calculator for Angular Velocity of Pinion given Speed Ratio, enter Helical Gear Speed Ratio (i) & Speed of Helical Gear (n_g) and hit the calculate button. Here is how the Angular Velocity of Pinion given Speed Ratio calculation can be explained with given input values -> 18.04 = 2.2*8.2.

FAQ

What is Angular Velocity of Pinion given Speed Ratio?

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

How to calculate Angular Velocity of Pinion given Speed Ratio?

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