Root Diameter of Sprocket Wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius
Df = Ds-2*ri
This formula uses 3 Variables
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Sproket Diameter of Pitch Circle: 170 Millimeter --> 0.17 Meter (Check conversion here)
Roller Seating Radius: 7 Millimeter --> 0.007 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Df = Ds-2*ri --> 0.17-2*0.007
Evaluating ... ...
Df = 0.156
STEP 3: Convert Result to Output's Unit
0.156 Meter -->156 Millimeter (Check conversion here)
FINAL ANSWER
156 Millimeter <-- Root Diameter of Sprocket Wheel
(Calculation completed in 00.020 seconds)

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
Urvi Rathod has verified this Calculator and 1900+ more calculators!

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

Root Diameter of Sprocket Wheel Formula

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

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 Root Diameter of Sprocket Wheel?

Root Diameter of Sprocket Wheel calculator uses Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius to calculate the Root Diameter of Sprocket Wheel, The Root Diameter of Sprocket Wheel formula is defined as smallest outside diameter of roll tool, this is part of tooling that comes into contact with metal strip. Also called drive diameter. Root Diameter of Sprocket Wheel is denoted by Df symbol.

How to calculate Root Diameter of Sprocket Wheel using this online calculator? To use this online calculator for Root Diameter of Sprocket Wheel, enter Sproket Diameter of Pitch Circle (Ds) & Roller Seating Radius (ri) and hit the calculate button. Here is how the Root Diameter of Sprocket Wheel calculation can be explained with given input values -> 96000 = 0.17-2*0.007.

FAQ

What is Root Diameter of Sprocket Wheel?
The Root Diameter of Sprocket Wheel formula is defined as smallest outside diameter of roll tool, this is part of tooling that comes into contact with metal strip. Also called drive diameter and is represented as Df = Ds-2*ri or Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius. Sproket Diameter of Pitch Circle is the diameter of the pitch circle (passing through rollers centre) of the sprocket & Roller Seating Radius is defined as the radius of the slot where the roller can fix its position and can settle.
How to calculate Root Diameter of Sprocket Wheel?
The Root Diameter of Sprocket Wheel formula is defined as smallest outside diameter of roll tool, this is part of tooling that comes into contact with metal strip. Also called drive diameter is calculated using Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius. To calculate Root Diameter of Sprocket Wheel, you need Sproket Diameter of Pitch Circle (Ds) & Roller Seating Radius (ri). With our tool, you need to enter the respective value for Sproket Diameter of Pitch Circle & Roller Seating Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!