Number of Teeth on Helical Gear given Speed Ratio for Helical Gears Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
z = Zp*i
This formula uses 3 Variables
Variables Used
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.
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.
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 Pinion: 20 --> No Conversion Required
Helical Gear Speed Ratio: 2.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z = Zp*i --> 20*2.2
Evaluating ... ...
z = 44
STEP 3: Convert Result to Output's Unit
44 --> No Conversion Required
FINAL ANSWER
44 <-- Number of Teeth on Helical Gear
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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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

Number of Teeth on Helical Gear given Speed Ratio for Helical Gears Formula

Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
z = Zp*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 Helical Gear given Speed Ratio for Helical Gears?

Number of Teeth on Helical Gear given Speed Ratio for Helical Gears calculator uses Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio to calculate the Number of Teeth on Helical Gear, Number of Teeth on Helical Gear given Speed Ratio for Helical Gears 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 Gear is denoted by z symbol.

How to calculate Number of Teeth on Helical Gear given Speed Ratio for Helical Gears using this online calculator? To use this online calculator for Number of Teeth on Helical Gear given Speed Ratio for Helical Gears, enter Number of Teeth on Helical Pinion (Zp) & Helical Gear Speed Ratio (i) and hit the calculate button. Here is how the Number of Teeth on Helical Gear given Speed Ratio for Helical Gears calculation can be explained with given input values -> 44 = 20*2.2.

FAQ

What is Number of Teeth on Helical Gear given Speed Ratio for Helical Gears?
Number of Teeth on Helical Gear given Speed Ratio for Helical Gears 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 = Zp*i or Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio. Number of Teeth on Helical Pinion is the count of teeth on the smaller gear of the pair of a helical gear & 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 Helical Gear given Speed Ratio for Helical Gears?
Number of Teeth on Helical Gear given Speed Ratio for Helical Gears 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 Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio. To calculate Number of Teeth on Helical Gear given Speed Ratio for Helical Gears, you need Number of Teeth on Helical Pinion (Zp) & Helical Gear Speed Ratio (i). With our tool, you need to enter the respective value for Number of Teeth on Helical Pinion & 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.
How many ways are there to calculate Number of Teeth on Helical Gear?
In this formula, Number of Teeth on Helical Gear uses Number of Teeth on Helical Pinion & Helical Gear Speed Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Number of Teeth on Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear
  • Number of Teeth on Helical Gear = (Addendum Circle Diameter of Helical Gear/Normal Module of Helical Gear-2)*cos(Helix Angle of Helical Gear)
  • Number of Teeth on Helical Gear = (cos(Helix Angle of Helical Gear))^(3)*Virtual Number of Teeth on Helical Gear
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