Minimum Roller Seating Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Minimum Roller Seating Angle = (140-(90/Number of teeth on sprocket))*pi/180
αmin = (140-(90/z))*pi/180
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Minimum Roller Seating Angle - (Measured in Radian) - Minimum Roller Seating Angle is the minimum angle that is subtended by the roller seatings.
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).
STEP 1: Convert Input(s) to Base Unit
Number of teeth on sprocket: 23 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αmin = (140-(90/z))*pi/180 --> (140-(90/23))*pi/180
Evaluating ... ...
αmin = 2.37516546032272
STEP 3: Convert Result to Output's Unit
2.37516546032272 Radian -->136.086956521765 Degree (Check conversion here)
FINAL ANSWER
136.086956521765 136.087 Degree <-- Minimum Roller Seating Angle
(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
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17 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
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
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)
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
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

Minimum Roller Seating Angle Formula

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

Define a Sprocket?

A sprocket, sprocket-wheel, or chainwheel is a profiled wheel with teeth, or cogs, that mesh with a chain, track, or other perforated or indented material. The name 'sprocket' applies generally to any wheel upon which radial projections engage a chain passing over it.

How to Calculate Minimum Roller Seating Angle?

Minimum Roller Seating Angle calculator uses Minimum Roller Seating Angle = (140-(90/Number of teeth on sprocket))*pi/180 to calculate the Minimum Roller Seating Angle, The Minimum Roller Seating Angle formula is defined as the minimum angle subtended by the roller seatings. Minimum Roller Seating Angle is denoted by αmin symbol.

How to calculate Minimum Roller Seating Angle using this online calculator? To use this online calculator for Minimum Roller Seating Angle, enter Number of teeth on sprocket (z) and hit the calculate button. Here is how the Minimum Roller Seating Angle calculation can be explained with given input values -> 7797.208 = (140-(90/23))*pi/180.

FAQ

What is Minimum Roller Seating Angle?
The Minimum Roller Seating Angle formula is defined as the minimum angle subtended by the roller seatings and is represented as αmin = (140-(90/z))*pi/180 or Minimum Roller Seating Angle = (140-(90/Number of teeth on sprocket))*pi/180. 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).
How to calculate Minimum Roller Seating Angle?
The Minimum Roller Seating Angle formula is defined as the minimum angle subtended by the roller seatings is calculated using Minimum Roller Seating Angle = (140-(90/Number of teeth on sprocket))*pi/180. To calculate Minimum Roller Seating Angle, you need Number of teeth on sprocket (z). With our tool, you need to enter the respective value for Number of teeth on sprocket and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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