Velocity Ratio of Chain Drives Calculator

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Design of Chain Drives

Design of Brakes

Design of Flywheel

Design of Friction Clutches

Design of Shafts

Design of Splines

Design of Springs

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Geometric Relationships for Chain

Polygonal Effect

Power Rating of Roller Chains

Proportions of the Sprocket Wheel

✖Angular speed of chain driving shaft is the rate of change of angular position of the driving or the input shaft of a chain drive.ⓘ Angular speed of chain driving shaft [N₁]			+10% -10%
✖Angular speed of chain driven shaft is the rate of change of angular position of the driven or the output shaft of a chain drive.ⓘ Angular speed of chain driven shaft [N₂]			+10% -10%

✖Velocity Ratio of Chain Drive is the ratio of the speed of the driven and the driving shaft of the chain drive.ⓘ Velocity Ratio of Chain Drives [i]

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Formula

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Velocity Ratio of Chain Drives

Formula

`"i" = "N"_{"1"}/"N"_{"2"}`

Example

`"2"="1400rev/min"/"700rev/min"`

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Velocity Ratio of Chain Drives Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio of Chain Drive = Angular speed of chain driving shaft/Angular speed of chain driven shaft
i = N₁/N₂
This formula uses 3 Variables

Variables Used

Velocity Ratio of Chain Drive - Velocity Ratio of Chain Drive is the ratio of the speed of the driven and the driving shaft of the chain drive.
Angular speed of chain driving shaft - (Measured in Hertz) - Angular speed of chain driving shaft is the rate of change of angular position of the driving or the input shaft of a chain drive.
Angular speed of chain driven shaft - (Measured in Hertz) - Angular speed of chain driven shaft is the rate of change of angular position of the driven or the output shaft of a chain drive.

STEP 1: Convert Input(s) to Base Unit

Angular speed of chain driving shaft: 1400 Revolution per Minute --> 23.3333333333333 Hertz (Check conversion here)
Angular speed of chain driven shaft: 700 Revolution per Minute --> 11.6666666666667 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = N₁/N₂ --> 23.3333333333333/11.6666666666667

Evaluating ... ...

i = 1.99999999999999

STEP 3: Convert Result to Output's Unit

1.99999999999999 --> No Conversion Required

FINAL ANSWER

1.99999999999999 ≈ 2 <-- Velocity Ratio of Chain Drive

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Geometric Relationships for Chain » Velocity Ratio of Chain Drives

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 23 Geometric Relationships for Chain Calculators

Number of Links in Chain

Go Number of links in chain = 2*(Centre Distance between Chain Pulleys/Pitch of Chain)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch of Chain/Centre Distance between Chain Pulleys)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2

Roller Radius given Top Diameter of Sprocket Wheel

Go Roller Radius of Chain = (Pitch Circle Diameter of Sprocket+(Pitch of Chain*(1-(1.6/Number of teeth on sprocket)))-Top Diameter of Sprocket Wheel)/2

Roller Radius given Maximum Tooth Height above Pitch Polygon

Go Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket

Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity

Go Number of teeth on sprocket = Average Chain Velocity*60/(Pitch of Chain*Speed of chain drive shaft in rpm)

Pitch of chain given Average Chain Velocity

Go Pitch of Chain = Average Chain Velocity*60/(Number of teeth on sprocket*Speed of chain drive shaft in rpm)

Average Chain Velocity given Number of Teeth on Sprocket

Go Average Chain Velocity = Number of teeth on sprocket*Pitch of Chain*Speed of chain drive shaft in rpm/60

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity

Go Speed of chain drive shaft in rpm = Average Chain Velocity*60/(pi*Pitch Circle Diameter of Sprocket)

Average Velocity of Chain

Go Average Chain Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of chain drive shaft in rpm/60

Pitch of chain given Pitch Circle Diameter

Go Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of teeth on sprocket)

Number of Teeth on Sprocket given Pitch Circle Diameter

Go Number of teeth on sprocket = 180*asin(Pitch of Chain/Pitch Circle Diameter of Sprocket)

Speed of Rotation of Driving Shaft given Velocity Ratio of Chain Drives

Go Angular speed of chain driving shaft = Velocity Ratio of Chain Drive*Angular speed of chain driven shaft

Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives

Go Angular speed of chain driven shaft = Angular speed of chain driving shaft/Velocity Ratio of Chain Drive

Velocity Ratio of Chain Drives

Go Velocity Ratio of Chain Drive = Angular speed of chain driving shaft/Angular speed of chain driven shaft

Number of Teeth on Driving Sprocket given Velocity of Chain Drives

Go Number of Teeth on Driving Sprocket = Number of Teeth on Driven Sprocket/Velocity Ratio of Chain Drive

Number of Teeth on Driven Sprocket given Velocity of Chain Drives

Go Number of Teeth on Driven Sprocket = Number of Teeth on Driving Sprocket*Velocity Ratio of Chain Drive

Roller Radius given Tooth Flank Radius

Go Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of teeth on sprocket)^2+180))

Roller Radius given Minimum Tooth Flank Radius

Go Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of teeth on sprocket+2)*0.24)

Chain Pitch given Minimum Tooth Height above Pitch Polygon

Go Pitch of Chain = (Minimum Tooth Height+Roller Radius of Chain)/0.5

Roller Radius given Minimum Tooth Height above Pitch Polygon

Go Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height

Number of Links in Chain given Length of Chain

Go Number of links in chain = Length of Chain/Pitch of Chain

Pitch of chain given Length of Chain

Go Pitch of Chain = Length of Chain/Number of links in chain

Length of Chain

Go Length of Chain = Number of links in chain*Pitch of Chain

Roller Radius given Minimum Roller Seating Radius

Go Roller Radius of Chain = Minimum Roller Seating Radius/(2*0.505)

Velocity Ratio of Chain Drives Formula

Velocity Ratio of Chain Drive = Angular speed of chain driving shaft/Angular speed of chain driven shaft
i = N₁/N₂

Define Chain Drives?

Chain drive is a way of transmitting mechanical power from one place to another. It is often used to convey power to the wheels of a vehicle, particularly bicycles and motorcycles. It is also used in a wide variety of machines besides vehicles.

How to Calculate Velocity Ratio of Chain Drives?

Velocity Ratio of Chain Drives calculator uses Velocity Ratio of Chain Drive = Angular speed of chain driving shaft/Angular speed of chain driven shaft to calculate the Velocity Ratio of Chain Drive, The Velocity Ratio of Chain Drives formula is defined as ratio of speed of rotation of driving pulley to driven pulley. Velocity Ratio of Chain Drive is denoted by i symbol.

How to calculate Velocity Ratio of Chain Drives using this online calculator? To use this online calculator for Velocity Ratio of Chain Drives, enter Angular speed of chain driving shaft (N₁) & Angular speed of chain driven shaft (N₂) and hit the calculate button. Here is how the Velocity Ratio of Chain Drives calculation can be explained with given input values -> 2 = 23.3333333333333/11.6666666666667.

FAQ

What is Velocity Ratio of Chain Drives?

The Velocity Ratio of Chain Drives formula is defined as ratio of speed of rotation of driving pulley to driven pulley and is represented as i = N₁/N₂ or Velocity Ratio of Chain Drive = Angular speed of chain driving shaft/Angular speed of chain driven shaft. Angular speed of chain driving shaft is the rate of change of angular position of the driving or the input shaft of a chain drive & Angular speed of chain driven shaft is the rate of change of angular position of the driven or the output shaft of a chain drive.

How to calculate Velocity Ratio of Chain Drives?

The Velocity Ratio of Chain Drives formula is defined as ratio of speed of rotation of driving pulley to driven pulley is calculated using Velocity Ratio of Chain Drive = Angular speed of chain driving shaft/Angular speed of chain driven shaft. To calculate Velocity Ratio of Chain Drives, you need Angular speed of chain driving shaft (N₁) & Angular speed of chain driven shaft (N₂). With our tool, you need to enter the respective value for Angular speed of chain driving shaft & Angular speed of chain driven shaft 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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