Number of Teeth on Gear given Pitch Circle Diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Teeth on Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear
z = d*cos(ψ)/mn
This formula uses 1 Functions, 4 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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.
Diameter of Pitch Circle of Helical Gear - (Measured in Meter) - Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
Helix Angle of Helical Gear - (Measured in Radian) - Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.
Normal Module of Helical Gear - (Measured in Meter) - The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.
STEP 1: Convert Input(s) to Base Unit
Diameter of Pitch Circle of Helical Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)
Helix Angle of Helical Gear: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
Normal Module of Helical Gear: 3 Millimeter --> 0.003 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z = d*cos(ψ)/mn --> 0.118*cos(0.4363323129985)/0.003
Evaluating ... ...
z = 35.6481062901096
STEP 3: Convert Result to Output's Unit
35.6481062901096 --> No Conversion Required
FINAL ANSWER
35.6481062901096 35.64811 <-- Number of Teeth on Helical Gear
(Calculation completed in 00.004 seconds)

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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 Gear given Pitch Circle Diameter Formula

Number of Teeth on Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear
z = d*cos(ψ)/mn

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 Gear given Pitch Circle Diameter?

Number of Teeth on Gear given Pitch Circle Diameter calculator uses Number of Teeth on Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear to calculate the Number of Teeth on Helical Gear, The Number of Teeth on Gear given Pitch Circle Diameter 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 Gear given Pitch Circle Diameter using this online calculator? To use this online calculator for Number of Teeth on Gear given Pitch Circle Diameter, enter Diameter of Pitch Circle of Helical Gear (d), Helix Angle of Helical Gear (ψ) & Normal Module of Helical Gear (mn) and hit the calculate button. Here is how the Number of Teeth on Gear given Pitch Circle Diameter calculation can be explained with given input values -> 35.64811 = 0.118*cos(0.4363323129985)/0.003.

FAQ

What is Number of Teeth on Gear given Pitch Circle Diameter?
The Number of Teeth on Gear given Pitch Circle Diameter 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 = d*cos(ψ)/mn or Number of Teeth on Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear. Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle, Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone & The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.
How to calculate Number of Teeth on Gear given Pitch Circle Diameter?
The Number of Teeth on Gear given Pitch Circle Diameter 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 = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear. To calculate Number of Teeth on Gear given Pitch Circle Diameter, you need Diameter of Pitch Circle of Helical Gear (d), Helix Angle of Helical Gear (ψ) & Normal Module of Helical Gear (mn). With our tool, you need to enter the respective value for Diameter of Pitch Circle of Helical Gear, Helix Angle of Helical Gear & Normal Module of Helical Gear 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 Diameter of Pitch Circle of Helical Gear, Helix Angle of Helical Gear & Normal Module of Helical Gear. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
  • 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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