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
np = i*ng
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
np = i*ng --> 2.2*8.2
Evaluating ... ...
np = 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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25 Core Design Parameters Calculators

Normal Module of Helical Gear given Center to Center Distance between Two Gears
Go Normal Module of Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)
Center to Center distance between Two Gears
Go Center to Center Distance of Helical Gears = Normal Module of Helical Gear*(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)/(2*cos(Helix Angle of Helical Gear))
Number of Teeth on Second Helical Gear given Center to Center Distance between Two Gears
Go Number of Teeth on 2nd Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/Normal Module of Helical Gear-Number of Teeth on 1st Helical Gear
Number of Teeth on First Gear given Center to Center Distance between Two Gears
Go Number of Teeth on 1st Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/Normal Module of Helical Gear-Number of Teeth on 2nd Helical Gear
Normal Module of Helical Gear given Virtual Number of Teeth
Go Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear/Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2)
Addendum Circle Diameter of Gear
Go Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2)
Normal Module of Helical Gear given Addendum Circle Diameter
Go Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2)
Number of Teeth on Gear given Addendum Circle Diameter
Go Number of Teeth on Helical Gear = (Addendum Circle Diameter of Helical Gear/Normal Module of Helical Gear-2)*cos(Helix Angle of Helical Gear)
Normal Module of Helical Gear given Pitch Circle Diameter
Go Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Number of Teeth on Helical Gear
Number of Teeth on Gear given Pitch Circle Diameter
Go Number of Teeth on Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear
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)
Virtual Number of Teeth on Helical Gear
Go Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear
Pitch Circle Diameter of Gear given Radius of Curvature at Point
Go Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2
Virtual Number of Teeth on Helical Gear given Actual Number of Teeth
Go Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3
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)
Addendum of Gear given Addendum Circle Diameter
Go Addendum of Helical Gear = (Addendum Circle Diameter of Helical Gear-Diameter of Pitch Circle of Helical Gear)/2
Addendum Circle Diameter of Gear given Pitch Circle Diameter
Go Addendum Circle Diameter of Helical Gear = 2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical Gear
Pitch Circle Diameter of Gear given Addendum Circle Diameter
Go Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear
Number of Teeth on Helical Gear given Speed Ratio for Helical Gears
Go Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
Number of Teeth on Pinion given Speed Ratio
Go Number of Teeth on Helical Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio
Angular Velocity of Pinion given Speed Ratio
Go Speed of Pinion Helical Gear = Helical Gear Speed Ratio*Speed of Helical Gear
Angular Velocity of Gear given Speed Ratio
Go Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio
Speed Ratio for Helical Gears
Go Helical Gear Speed Ratio = Speed of Pinion Helical Gear/Speed 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
np = i*ng

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 np 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 (ng) 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 np = i*ng 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 (ng). 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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