Pitch Circle Diameter given Average Velocity of Chain 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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Proportions of the Sprocket Wheel

Geometric Relationships for Chain

Polygonal Effect

Power Rating of Roller Chains

✖Average Chain Velocity is the average velocity of the chain that is used in the chain drives.ⓘ Average Chain Velocity [v]			+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 chain drive shaft in rpm [N]			+10% -10%

✖Sproket Diameter of Pitch Circle is the diameter of the pitch circle (passing through rollers centre) of the sprocket.ⓘ Pitch Circle Diameter given Average Velocity of Chain [D_s]

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Formula

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Pitch Circle Diameter given Average Velocity of Chain

Formula

`"D"_{"s"} = "v"*60/(pi*"N")`

Example

`"156.6085mm"="4.1m/s"*60/(pi*"500")`

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Pitch Circle Diameter given Average Velocity of Chain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Sproket Diameter of Pitch Circle - (Measured in Meter) - Sproket Diameter of Pitch Circle is the diameter of the pitch circle (passing through rollers centre) of the sprocket.
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.
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).

STEP 1: Convert Input(s) to Base Unit

Average Chain Velocity: 4.1 Meter per Second --> 4.1 Meter per Second No Conversion Required
Speed of chain drive shaft in rpm: 500 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_s = v*60/(pi*N) --> 4.1*60/(pi*500)

Evaluating ... ...

D_s = 0.156608464002425

STEP 3: Convert Result to Output's Unit

0.156608464002425 Meter -->156.608464002425 Millimeter (Check conversion here)

FINAL ANSWER

156.608464002425 ≈ 156.6085 Millimeter <-- Sproket Diameter of Pitch Circle

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 22 Proportions of the Sprocket Wheel Calculators

Pitch Circle Diameter given Top Diameter of Sprocket Wheel

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

Top Diameter of Sprocket Wheel

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

Number of Teeth given Maximum Tooth Height above Pitch Polygon

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

Maximum Tooth Height above Pitch Polygon

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

Chain Pitch given Maximum Tooth Height above Pitch Polygon

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

Pitch Circle Diameter given Average Velocity of Chain

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

Pitch Circle Diameter given Pitch

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

Roller Seating Radius given Roller Radius

Go Roller Seating Radius = (1.010*Roller Radius of Chain)+(0.00069*((2*Roller Radius of Chain)^(1/3)))

Tooth Flank Radius

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

Roller Seating Radius given Root Diameter of Sprocket Wheel

Go Roller Seating Radius = (Sproket Diameter of Pitch Circle-Root Diameter of Sprocket Wheel)/2

Pitch Circle Diameter given Root Diameter of Sprocket Wheel

Go Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius

Number of Teeth given Minimum Tooth Flank Radius

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

Root Diameter of Sprocket Wheel

Go Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius

Minimum Tooth Flank Radius

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

Number of Teeth given Maximum Roller Seating Angle

Go Number of teeth on sprocket = 90/(120-(Maximum Roller Seating Angle*180/pi))

Number of Teeth given Minimum Roller Seating Angle

Go Number of teeth on sprocket = 90/(140-(Minimum Roller Seating Angle*180/pi))

Maximum Roller Seating Angle

Go Maximum Roller Seating Angle = (120-(90/Number of teeth on sprocket))*pi/180

Minimum Roller Seating Angle

Go Minimum Roller Seating Angle = (140-(90/Number of teeth on sprocket))*pi/180

Number of Teeth on Sprocket given Pitch Angle of Sprocket

Go Number of teeth on sprocket = 360/(Pitch Angle of Sprocket*(180/pi))

Minimum Tooth Height above Pitch Polygon

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

Pitch Angle of Sprocket

Go Pitch Angle of Sprocket = (360/Number of teeth on sprocket)/57.24

Minimum Roller Seating Radius

Go Minimum Roller Seating Radius = 2*0.505*Roller Radius of Chain

Pitch Circle Diameter given Average Velocity of Chain Formula

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

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 Pitch Circle Diameter given Average Velocity of Chain?

Pitch Circle Diameter given Average Velocity of Chain calculator uses Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of chain drive shaft in rpm) to calculate the Sproket Diameter of Pitch Circle, The Pitch Circle Diameter given Average Velocity of Chain formula is defined as the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes. Sproket Diameter of Pitch Circle is denoted by D_s symbol.

How to calculate Pitch Circle Diameter given Average Velocity of Chain using this online calculator? To use this online calculator for Pitch Circle Diameter given Average Velocity of Chain, enter Average Chain Velocity (v) & Speed of chain drive shaft in rpm (N) and hit the calculate button. Here is how the Pitch Circle Diameter given Average Velocity of Chain calculation can be explained with given input values -> 156608.5 = 4.1*60/(pi*500).

FAQ

What is Pitch Circle Diameter given Average Velocity of Chain?

The Pitch Circle Diameter given Average Velocity of Chain formula is defined as the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes and is represented as D_s = v*60/(pi*N) or Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of chain drive shaft in rpm). Average Chain Velocity is the average velocity of the chain that is used in the chain drives & Speed of chain drive shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm).

How to calculate Pitch Circle Diameter given Average Velocity of Chain?

The Pitch Circle Diameter given Average Velocity of Chain formula is defined as the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes is calculated using Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of chain drive shaft in rpm). To calculate Pitch Circle Diameter given Average Velocity of Chain, you need Average Chain Velocity (v) & Speed of chain drive shaft in rpm (N). With our tool, you need to enter the respective value for Average Chain Velocity & Speed of chain drive shaft in rpm 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 Sproket Diameter of Pitch Circle?

In this formula, Sproket Diameter of Pitch Circle uses Average Chain Velocity & Speed of chain drive shaft in rpm. We can use 3 other way(s) to calculate the same, which is/are as follows -

Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of teeth on sprocket)
Sproket Diameter of Pitch Circle = Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of teeth on sprocket))+2*Roller Radius of Chain
Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius

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