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

✖Average Chain Velocity is the average velocity of the chain that is used in the chain drives.ⓘ Average Chain Velocity [v]			+10% -10%
✖Pitch Circle Diameter of Sprocket is the diameter of the pitch circle (passing through rollers centre) of the sprocket.ⓘ Pitch Circle Diameter of Sprocket [D]			+10% -10%

✖Speed of chain drive shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm).ⓘ Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity [N]

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Formula

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

Formula

`"N" = "v"*60/(pi*"D")`

Example

`"711.8567"="4.1m/s"*60/(pi*"110mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Speed of chain drive shaft in rpm = Average Chain Velocity*60/(pi*Pitch Circle Diameter of Sprocket)
N = v*60/(pi*D)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Speed of chain drive shaft in rpm - Speed of chain drive shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm).
Average Chain Velocity - (Measured in Meter per Second) - Average Chain Velocity is the average velocity of the chain that is used in the chain drives.
Pitch Circle Diameter of Sprocket - (Measured in Meter) - Pitch Circle Diameter of Sprocket is the diameter of the pitch circle (passing through rollers centre) of the sprocket.

STEP 1: Convert Input(s) to Base Unit

Average Chain Velocity: 4.1 Meter per Second --> 4.1 Meter per Second No Conversion Required
Pitch Circle Diameter of Sprocket: 110 Millimeter --> 0.11 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = v*60/(pi*D) --> 4.1*60/(pi*0.11)

Evaluating ... ...

N = 711.856654556477

STEP 3: Convert Result to Output's Unit

711.856654556477 --> No Conversion Required

FINAL ANSWER

711.856654556477 ≈ 711.8567 <-- Speed of chain drive shaft in rpm

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Geometric Relationships for Chain » Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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)

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

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

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

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity calculator uses Speed of chain drive shaft in rpm = Average Chain Velocity*60/(pi*Pitch Circle Diameter of Sprocket) to calculate the Speed of chain drive shaft in rpm, The Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity formula is defined as the speed at which the given shaft is rotating. Speed of chain drive shaft in rpm is denoted by N symbol.

How to calculate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity using this online calculator? To use this online calculator for Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity, enter Average Chain Velocity (v) & Pitch Circle Diameter of Sprocket (D) and hit the calculate button. Here is how the Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity calculation can be explained with given input values -> 711.8567 = 4.1*60/(pi*0.11).

FAQ

What is Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?

The Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity formula is defined as the speed at which the given shaft is rotating and is represented as N = v*60/(pi*D) or Speed of chain drive shaft in rpm = Average Chain Velocity*60/(pi*Pitch Circle Diameter of Sprocket). Average Chain Velocity is the average velocity of the chain that is used in the chain drives & Pitch Circle Diameter of Sprocket is the diameter of the pitch circle (passing through rollers centre) of the sprocket.

How to calculate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?

The Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity formula is defined as the speed at which the given shaft is rotating is calculated using Speed of chain drive shaft in rpm = Average Chain Velocity*60/(pi*Pitch Circle Diameter of Sprocket). To calculate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity, you need Average Chain Velocity (v) & Pitch Circle Diameter of Sprocket (D). With our tool, you need to enter the respective value for Average Chain Velocity & Pitch Circle Diameter of Sprocket 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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