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Angular Velocity of Gear When Speed Ratio is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
speed_gear_2 = Speed of gear 1/Speed ratio
N2 = N1/Ku
This formula uses 2 Variables
Variables Used
Speed of gear 1 - Speed of gear 1 is speed of revolution. (Measured in Revolution per Minute)
Speed ratio- Speed ratio is the ratio of tangential velocity to theoretical velocity
STEP 1: Convert Input(s) to Base Unit
Speed of gear 1: 20 Revolution per Minute --> 0.333333333333333 Hertz (Check conversion here)
Speed ratio: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N2 = N1/Ku --> 0.333333333333333/1
Evaluating ... ...
N2 = 0.333333333333333
STEP 3: Convert Result to Output's Unit
0.333333333333333 Hertz -->20 Revolution per Minute (Check conversion here)
FINAL ANSWER
20 Revolution per Minute <-- Speed of gear 2
(Calculation completed in 00.000 seconds)

10+ Design of Helical Gears Calculators

Helix Angle When Normal Circular pitch is Given
helix_angle = acos(Transverse Diametrical Pitch/Circular pitch) Go
Transverse Diametrical Pitch When Normal Circular Pitch is Given
transverse_diametrical_pitch = Circular pitch*cos(Helix Angle) Go
Normal Circular Pitch of Helical Gear
circular_pitch = Transverse Diametrical Pitch/cos(Helix Angle) Go
Transverse Diametrical Pitch When Axial Pitch is Given
transverse_diametrical_pitch = Axial Pitch*tan(Helix Angle) Go
Axial Pitch in terms of helix angle
axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle) Go
Helix Angle When Normal Module is Given
helix_angle = acos(Normal Module/Transverse Module) Go
Transverse Module When Normal Module is Given
transverse_module = Normal Module/cos(Helix Angle) Go
Normal Module
normal_module = Transverse Module*cos(Helix Angle) Go
Transverse Module When Transverse Diametrical Pitch is Given
transverse_module = 1/Transverse Diametrical Pitch Go
Transverse Diametrical Pitch in Terms of Transverse Module
transverse_diametrical_pitch = 1/Transverse Module Go

Angular Velocity of Gear When Speed Ratio is Given Formula

speed_gear_2 = Speed of gear 1/Speed ratio
N2 = N1/Ku

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 Gear When Speed Ratio is Given?

Angular Velocity of Gear When Speed Ratio is Given calculator uses speed_gear_2 = Speed of gear 1/Speed ratio to calculate the Speed of gear 2, The Angular Velocity of Gear When Speed Ratio is Given formula referred as the angular speed of the gear. Speed of gear 2 and is denoted by N2 symbol.

How to calculate Angular Velocity of Gear When Speed Ratio is Given using this online calculator? To use this online calculator for Angular Velocity of Gear When Speed Ratio is Given, enter Speed of gear 1 (N1) and Speed ratio (Ku) and hit the calculate button. Here is how the Angular Velocity of Gear When Speed Ratio is Given calculation can be explained with given input values -> 20 = 0.333333333333333/1.

FAQ

What is Angular Velocity of Gear When Speed Ratio is Given?
The Angular Velocity of Gear When Speed Ratio is Given formula referred as the angular speed of the gear and is represented as N2 = N1/Ku or speed_gear_2 = Speed of gear 1/Speed ratio. Speed of gear 1 is speed of revolution and Speed ratio is the ratio of tangential velocity to theoretical velocity.
How to calculate Angular Velocity of Gear When Speed Ratio is Given?
The Angular Velocity of Gear When Speed Ratio is Given formula referred as the angular speed of the gear is calculated using speed_gear_2 = Speed of gear 1/Speed ratio. To calculate Angular Velocity of Gear When Speed Ratio is Given, you need Speed of gear 1 (N1) and Speed ratio (Ku). With our tool, you need to enter the respective value for Speed of gear 1 and 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 Speed of gear 2?
In this formula, Speed of gear 2 uses Speed of gear 1 and Speed ratio. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • circular_pitch = Transverse Diametrical Pitch/cos(Helix Angle)
  • transverse_diametrical_pitch = Circular pitch*cos(Helix Angle)
  • helix_angle = acos(Transverse Diametrical Pitch/Circular pitch)
  • transverse_diametrical_pitch = 1/Transverse Module
  • transverse_module = 1/Transverse Diametrical Pitch
  • normal_module = Transverse Module*cos(Helix Angle)
  • transverse_module = Normal Module/cos(Helix Angle)
  • helix_angle = acos(Normal Module/Transverse Module)
  • axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle)
  • transverse_diametrical_pitch = Axial Pitch*tan(Helix Angle)
Where is the Angular Velocity of Gear When Speed Ratio is Given calculator used?
Among many, Angular Velocity of Gear When Speed Ratio is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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