Roller Radius given Top Diameter of Sprocket Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
R = (D+(P*(1-(1.6/z)))-da)/2
This formula uses 5 Variables
Variables Used
Roller Radius of Chain - (Measured in Meter) - Roller Radius of Chain is the distance between the center and the point on the circumference of the roller of a chain.
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.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is usually defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link.
Number of teeth on sprocket - Number of teeth on sprocket is defined as the number of teeth (which mesh with another compatible toothed part to the chain or convert torque and speed).
Top Diameter of Sprocket Wheel - (Measured in Meter) - Top Diameter of Sprocket Wheel is the diameter of the top part or the outermost part of a sprocket wheel.
STEP 1: Convert Input(s) to Base Unit
Pitch Circle Diameter of Sprocket: 110 Millimeter --> 0.11 Meter (Check conversion here)
Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Number of teeth on sprocket: 23 --> No Conversion Required
Top Diameter of Sprocket Wheel: 112 Millimeter --> 0.112 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (D+(P*(1-(1.6/z)))-da)/2 --> (0.11+(0.022*(1-(1.6/23)))-0.112)/2
Evaluating ... ...
R = 0.00923478260869565
STEP 3: Convert Result to Output's Unit
0.00923478260869565 Meter -->9.23478260869565 Millimeter (Check conversion here)
FINAL ANSWER
9.23478260869565 โ‰ˆ 9.234783 Millimeter <-- Roller Radius of Chain
(Calculation completed in 00.004 seconds)

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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)

Roller Radius given Top Diameter of Sprocket Wheel Formula

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
R = (D+(P*(1-(1.6/z)))-da)/2

Define a Roller Chain?

Roller chain or bush roller chain is the type of chain drive most commonly used for transmission of mechanical power on many kinds of domestic, industrial and agricultural machinery, including conveyors, wire- and tube-drawing machines, printing presses, cars, motorcycles, and bicycles.

How to Calculate Roller Radius given Top Diameter of Sprocket Wheel?

Roller Radius given Top Diameter of Sprocket Wheel calculator uses 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 to calculate the Roller Radius of Chain, The Roller Radius given Top Diameter of Sprocket Wheel formula is defined as distance from center of axle to ground. Roller Radius of Chain is denoted by R symbol.

How to calculate Roller Radius given Top Diameter of Sprocket Wheel using this online calculator? To use this online calculator for Roller Radius given Top Diameter of Sprocket Wheel, enter Pitch Circle Diameter of Sprocket (D), Pitch of Chain (P), Number of teeth on sprocket (z) & Top Diameter of Sprocket Wheel (da) and hit the calculate button. Here is how the Roller Radius given Top Diameter of Sprocket Wheel calculation can be explained with given input values -> 9234.783 = (0.11+(0.022*(1-(1.6/23)))-0.112)/2.

FAQ

What is Roller Radius given Top Diameter of Sprocket Wheel?
The Roller Radius given Top Diameter of Sprocket Wheel formula is defined as distance from center of axle to ground and is represented as R = (D+(P*(1-(1.6/z)))-da)/2 or 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. Pitch Circle Diameter of Sprocket is the diameter of the pitch circle (passing through rollers centre) of the sprocket, Pitch of Chain is usually defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link, Number of teeth on sprocket is defined as the number of teeth (which mesh with another compatible toothed part to the chain or convert torque and speed) & Top Diameter of Sprocket Wheel is the diameter of the top part or the outermost part of a sprocket wheel.
How to calculate Roller Radius given Top Diameter of Sprocket Wheel?
The Roller Radius given Top Diameter of Sprocket Wheel formula is defined as distance from center of axle to ground is calculated using 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. To calculate Roller Radius given Top Diameter of Sprocket Wheel, you need Pitch Circle Diameter of Sprocket (D), Pitch of Chain (P), Number of teeth on sprocket (z) & Top Diameter of Sprocket Wheel (da). With our tool, you need to enter the respective value for Pitch Circle Diameter of Sprocket, Pitch of Chain, Number of teeth on sprocket & Top Diameter of Sprocket Wheel 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 Roller Radius of Chain?
In this formula, Roller Radius of Chain uses Pitch Circle Diameter of Sprocket, Pitch of Chain, Number of teeth on sprocket & Top Diameter of Sprocket Wheel. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of teeth on sprocket)^2+180))
  • Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket
  • Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height
  • Roller Radius of Chain = Minimum Roller Seating Radius/(2*0.505)
  • Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of teeth on sprocket+2)*0.24)
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