Maximum Roller Seating Angle Calculator

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Design of Chain Drives

Design of Brakes

Design of Flywheel

Design of Friction Clutches

Design of Shafts

Design of Splines

Design of Springs

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Proportions of the Sprocket Wheel

Geometric Relationships for Chain

Polygonal Effect

Power Rating of Roller Chains

✖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).ⓘ Number of teeth on sprocket [z]

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-10%

✖The Maximum Roller Seating Angle is the maximum angle that is subtended by the roller seatings.ⓘ Maximum Roller Seating Angle [α_max]

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Formula

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Maximum Roller Seating Angle

Formula

`"α"_{"max"} = (120-(90/"z"))*pi/180`

Example

`"116.087°"=(120-(90/"23"))*pi/180`

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Maximum Roller Seating Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Roller Seating Angle = (120-(90/Number of teeth on sprocket))*pi/180
α_max = (120-(90/z))*pi/180
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Roller Seating Angle - (Measured in Radian) - The Maximum Roller Seating Angle is the maximum 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

α_max = (120-(90/z))*pi/180 --> (120-(90/23))*pi/180

Evaluating ... ...

α_max = 2.02609960992385

STEP 3: Convert Result to Output's Unit

2.02609960992385 Radian -->116.086956521761 Degree (Check conversion here)

FINAL ANSWER

116.086956521761 ≈ 116.087 Degree <-- Maximum Roller Seating Angle

(Calculation completed in 00.004 seconds)

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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

Maximum Roller Seating Angle Formula

Maximum Roller Seating Angle = (120-(90/Number of teeth on sprocket))*pi/180
α_max = (120-(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 Maximum Roller Seating Angle?

Maximum Roller Seating Angle calculator uses Maximum Roller Seating Angle = (120-(90/Number of teeth on sprocket))*pi/180 to calculate the Maximum Roller Seating Angle, The Maximum Roller Seating Angle formula is defined as the maximum angle subtended by the roller seatings. Maximum Roller Seating Angle is denoted by α_max symbol.

How to calculate Maximum Roller Seating Angle using this online calculator? To use this online calculator for Maximum Roller Seating Angle, enter Number of teeth on sprocket (z) and hit the calculate button. Here is how the Maximum Roller Seating Angle calculation can be explained with given input values -> 6651.293 = (120-(90/23))*pi/180.

FAQ

What is Maximum Roller Seating Angle?

The Maximum Roller Seating Angle formula is defined as the maximum angle subtended by the roller seatings and is represented as α_max = (120-(90/z))*pi/180 or Maximum Roller Seating Angle = (120-(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 Maximum Roller Seating Angle?

The Maximum Roller Seating Angle formula is defined as the maximum angle subtended by the roller seatings is calculated using Maximum Roller Seating Angle = (120-(90/Number of teeth on sprocket))*pi/180. To calculate Maximum 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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