Roller Seating Radius given Root Diameter of Sprocket Wheel Calculator

✖Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth.ⓘ Sproket Diameter of Pitch Circle [D_s]			+10% -10%
✖Root Diameter of Sprocket Wheel is the diameter of the circle that passes through the roots of the teeth of a sprocket wheel.ⓘ Root Diameter of Sprocket Wheel [D_f]			+10% -10%

✖Roller Seating Radius is the distance from the axis of rotation to the point where the roller seats on the sprocket wheel.ⓘ Roller Seating Radius given Root Diameter of Sprocket Wheel [r_i]

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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
r_i = (D_s-D_f)/2
This formula uses 3 Variables

Variables Used

Roller Seating Radius - (Measured in Meter) - Roller Seating Radius is the distance from the axis of rotation to the point where the roller seats on the sprocket wheel.
Sproket Diameter of Pitch Circle - (Measured in Meter) - Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth.
Root Diameter of Sprocket Wheel - (Measured in Meter) - Root Diameter of Sprocket Wheel is the diameter of the circle that passes through the roots of the teeth of a sprocket wheel.

STEP 1: Convert Input(s) to Base Unit

Sproket Diameter of Pitch Circle: 131 Millimeter --> 0.131 Meter (Check conversion here)
Root Diameter of Sprocket Wheel: 117 Millimeter --> 0.117 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (D_s-D_f)/2 --> (0.131-0.117)/2

Evaluating ... ...

r_i = 0.007

STEP 3: Convert Result to Output's Unit

0.007 Meter -->7 Millimeter (Check conversion here)

FINAL ANSWER

7 Millimeter <-- Roller Seating Radius

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Proportions of the Sprocket Wheel » Roller Seating Radius given Root Diameter of Sprocket Wheel

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Proportions of the Sprocket Wheel Calculators

Top Diameter of Sprocket Wheel

LaTeX 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

Pitch Circle Diameter given Pitch

LaTeX Go Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of Teeth on Sprocket)

Number of Teeth on Sprocket given Pitch Angle of Sprocket

LaTeX Go Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi))

Pitch Angle of Sprocket

LaTeX Go Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24

Roller Seating Radius given Root Diameter of Sprocket Wheel Formula

LaTeX Go

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

What is Root Diameter of Sprocket Wheel?

The root diameter of a sprocket wheel is the diameter of the circle that intersects the base of the sprocket teeth, at the deepest part of the tooth slots. It is the smallest diameter of the sprocket and is used to determine the clearance between the sprocket teeth and the chain or belt, affecting the fit and operation of the chain drive system.

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, Roller Seating Radius given Root Diameter of Sprocket Wheel formula is defined as the distance from the axis of rotation to the center of the roller, which is a critical dimension in the design of sprocket wheels, influencing the smooth operation and efficiency of the entire mechanical system. Roller Seating Radius is denoted by r_i 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 (D_s) & Root Diameter of Sprocket Wheel (D_f) 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 -> -9500 = (0.131-0.117)/2.

FAQ

What is Roller Seating Radius given Root Diameter of Sprocket Wheel?

Roller Seating Radius given Root Diameter of Sprocket Wheel formula is defined as the distance from the axis of rotation to the center of the roller, which is a critical dimension in the design of sprocket wheels, influencing the smooth operation and efficiency of the entire mechanical system and is represented as r_i = (D_s-D_f)/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 circle that passes through the pitch point of the sprocket wheel's teeth & Root Diameter of Sprocket Wheel is the diameter of the circle that passes through the roots of the teeth of a sprocket wheel.

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

Roller Seating Radius given Root Diameter of Sprocket Wheel formula is defined as the distance from the axis of rotation to the center of the roller, which is a critical dimension in the design of sprocket wheels, influencing the smooth operation and efficiency of the entire mechanical system 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 (D_s) & Root Diameter of Sprocket Wheel (D_f). 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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