Top 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%
✖Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain.ⓘ Pitch of Chain [P]			+10% -10%
✖Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.ⓘ Number of Teeth on Sprocket [z]			+10% -10%
✖Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system.ⓘ Roller Radius of Chain [R]			+10% -10%

✖Top Diameter of Sprocket Wheel is the maximum diameter of the sprocket wheel, which is the distance across the wheel passing through its center.ⓘ Top Diameter of Sprocket Wheel [d_a]

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Top Diameter of Sprocket Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
d_a = D_s+P*(1-(1.6/z))-2*R
This formula uses 5 Variables

Variables Used

Top Diameter of Sprocket Wheel - (Measured in Meter) - Top Diameter of Sprocket Wheel is the maximum diameter of the sprocket wheel, which is the distance across the wheel passing through its center.
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.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain.
Number of Teeth on Sprocket - Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism.
Roller Radius of Chain - (Measured in Meter) - Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system.

STEP 1: Convert Input(s) to Base Unit

Sproket Diameter of Pitch Circle: 131 Millimeter --> 0.131 Meter (Check conversion here)
Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Number of Teeth on Sprocket: 18 --> No Conversion Required
Roller Radius of Chain: 5.961 Millimeter --> 0.005961 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_a = D_s+P*(1-(1.6/z))-2*R --> 0.131+0.022*(1-(1.6/18))-2*0.005961

Evaluating ... ...

d_a = 0.139122444444444

STEP 3: Convert Result to Output's Unit

0.139122444444444 Meter -->139.122444444444 Millimeter (Check conversion here)

FINAL ANSWER

139.122444444444 ≈ 139.1224 Millimeter <-- Top Diameter of Sprocket Wheel

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Proportions of the Sprocket Wheel » Top Diameter of Sprocket Wheel

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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

Top Diameter of Sprocket Wheel Formula

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
d_a = D_s+P*(1-(1.6/z))-2*R

What is Top Diameter of Sprocket Wheel?

The top diameter of a sprocket wheel is the diameter of the circle that runs through the outermost points of the sprocket's teeth. It represents the largest diameter of the sprocket and is used to determine the overall size and fit of the sprocket in the chain drive system.

How to Calculate Top Diameter of Sprocket Wheel?

Top Diameter of Sprocket Wheel calculator uses 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 to calculate the Top Diameter of Sprocket Wheel, Top Diameter of Sprocket Wheel formula is defined as the maximum diameter of a sprocket wheel, which is a critical component in a chain drive system, and its accurate calculation is essential for the proper functioning of the system, ensuring efficient power transmission and minimizing wear and tear. Top Diameter of Sprocket Wheel is denoted by d_a symbol.

How to calculate Top Diameter of Sprocket Wheel using this online calculator? To use this online calculator for Top Diameter of Sprocket Wheel, enter Sproket Diameter of Pitch Circle (D_s), Pitch of Chain (P), Number of Teeth on Sprocket (z) & Roller Radius of Chain (R) and hit the calculate button. Here is how the Top Diameter of Sprocket Wheel calculation can be explained with given input values -> 139044.4 = 0.131+0.022*(1-(1.6/18))-2*0.005961.

FAQ

What is Top Diameter of Sprocket Wheel?

Top Diameter of Sprocket Wheel formula is defined as the maximum diameter of a sprocket wheel, which is a critical component in a chain drive system, and its accurate calculation is essential for the proper functioning of the system, ensuring efficient power transmission and minimizing wear and tear and is represented as d_a = D_s+P*(1-(1.6/z))-2*R or 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. Sproket Diameter of Pitch Circle is the diameter of the circle that passes through the pitch point of the sprocket wheel's teeth, Pitch of Chain is the distance between the centers of two consecutive teeth of a sprocket wheel, used to determine the size of the chain, Number of teeth on sprocket is the total count of teeth present on the circumference of the sprocket wheel, which affects the gear ratio and overall mechanism & Roller Radius of Chain Sprocket Wheel is the radius of the roller of the chain sprocket wheel, which is a critical component in a bicycle's gear system.

How to calculate Top Diameter of Sprocket Wheel?

Top Diameter of Sprocket Wheel formula is defined as the maximum diameter of a sprocket wheel, which is a critical component in a chain drive system, and its accurate calculation is essential for the proper functioning of the system, ensuring efficient power transmission and minimizing wear and tear is calculated using 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. To calculate Top Diameter of Sprocket Wheel, you need Sproket Diameter of Pitch Circle (D_s), Pitch of Chain (P), Number of Teeth on Sprocket (z) & Roller Radius of Chain (R). With our tool, you need to enter the respective value for Sproket Diameter of Pitch Circle, Pitch of Chain, Number of Teeth on Sprocket & Roller Radius of Chain 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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