Roller Seating Radius given Root Diameter of Sprocket Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roller Seating Radius = (Sproket Diameter of Pitch Circle-Root Diameter of Sprocket Wheel)/2
ri = (Ds-Df)/2
This formula uses 3 Variables
Variables Used
Roller Seating Radius - (Measured in Meter) - Roller Seating Radius is defined as the radius of the slot where the roller can fix its position and can settle.
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.
Root Diameter of Sprocket Wheel - (Measured in Meter) - The Root diameter of sprocket wheel is the diameter of the sprocket at the root of the teeth.
STEP 1: Convert Input(s) to Base Unit
Sproket Diameter of Pitch Circle: 170 Millimeter --> 0.17 Meter (Check conversion here)
Root Diameter of Sprocket Wheel: 150 Millimeter --> 0.15 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ri = (Ds-Df)/2 --> (0.17-0.15)/2
Evaluating ... ...
ri = 0.01
STEP 3: Convert Result to Output's Unit
0.01 Meter -->10 Millimeter (Check conversion here)
FINAL ANSWER
10 Millimeter <-- Roller Seating Radius
(Calculation completed in 00.020 seconds)

Credits

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Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

Roller Seating Radius given Root Diameter of Sprocket Wheel Formula

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

Define Root Diameter?

The smallest outside diameter of a roll tool, this is the part of the tooling that comes into contact with the metal strip. Also called drive diameter.

How to Calculate Roller Seating Radius given Root Diameter of Sprocket Wheel?

Roller Seating Radius given Root Diameter of Sprocket Wheel calculator uses Roller Seating Radius = (Sproket Diameter of Pitch Circle-Root Diameter of Sprocket Wheel)/2 to calculate the Roller Seating Radius, The Roller Seating Radius given Root Diameter of Sprocket Wheel formula is defined as radius of teh slot where roller has to be fitted or seated. Roller Seating Radius is denoted by ri symbol.

How to calculate Roller Seating Radius given Root Diameter of Sprocket Wheel using this online calculator? To use this online calculator for Roller Seating Radius given Root Diameter of Sprocket Wheel, enter Sproket Diameter of Pitch Circle (Ds) & Root Diameter of Sprocket Wheel (Df) and hit the calculate button. Here is how the Roller Seating Radius given Root Diameter of Sprocket Wheel calculation can be explained with given input values -> -20000 = (0.17-0.15)/2.

FAQ

What is Roller Seating Radius given Root Diameter of Sprocket Wheel?
The Roller Seating Radius given Root Diameter of Sprocket Wheel formula is defined as radius of teh slot where roller has to be fitted or seated and is represented as ri = (Ds-Df)/2 or Roller Seating Radius = (Sproket Diameter of Pitch Circle-Root Diameter of Sprocket Wheel)/2. Sproket Diameter of Pitch Circle is the diameter of the pitch circle (passing through rollers centre) of the sprocket & The Root diameter of sprocket wheel is the diameter of the sprocket at the root of the teeth.
How to calculate Roller Seating Radius given Root Diameter of Sprocket Wheel?
The Roller Seating Radius given Root Diameter of Sprocket Wheel formula is defined as radius of teh slot where roller has to be fitted or seated is calculated using Roller Seating Radius = (Sproket Diameter of Pitch Circle-Root Diameter of Sprocket Wheel)/2. To calculate Roller Seating Radius given Root Diameter of Sprocket Wheel, you need Sproket Diameter of Pitch Circle (Ds) & Root Diameter of Sprocket Wheel (Df). With our tool, you need to enter the respective value for Sproket Diameter of Pitch Circle & Root 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 Seating Radius?
In this formula, Roller Seating Radius uses Sproket Diameter of Pitch Circle & Root Diameter of Sprocket Wheel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Roller Seating Radius = (1.010*Roller Radius of Chain)+(0.00069*((2*Roller Radius of Chain)^(1/3)))
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