Pitch Angle of Sprocket Calculator

✖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]

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✖Pitch Angle of Sprocket is the angle between the sprocket's rotational axis and the plane of the sprocket wheel, affecting the chain's movement and overall mechanism.ⓘ Pitch Angle of Sprocket [α]

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Formula

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Pitch Angle of Sprocket

Formula

α = \frac{\frac{360}{z}}{57.24}

Example

20.01949 ° = \frac{\frac{360}{18}}{57.24}

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Pitch Angle of Sprocket Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24
α = (360/z)/57.24
This formula uses 2 Variables

Variables Used

Pitch Angle of Sprocket - (Measured in Radian) - Pitch Angle of Sprocket is the angle between the sprocket's rotational axis and the plane of the sprocket wheel, affecting the chain's movement and overall mechanism.
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.

STEP 1: Convert Input(s) to Base Unit

Number of Teeth on Sprocket: 18 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = (360/z)/57.24 --> (360/18)/57.24

Evaluating ... ...

α = 0.349406009783368

STEP 3: Convert Result to Output's Unit

0.349406009783368 Radian -->20.0194896970975 Degree (Check conversion here)

FINAL ANSWER

20.0194896970975 ≈ 20.01949 Degree <-- Pitch Angle of Sprocket

(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 » Pitch Angle of Sprocket

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!

< Proportions of the Sprocket Wheel Calculators

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

Pitch Circle Diameter given Pitch

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

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

Pitch Angle of Sprocket

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

Pitch Angle of Sprocket Formula

Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24
α = (360/z)/57.24

What is 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 Pitch Angle of Sprocket?

Pitch Angle of Sprocket calculator uses Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24 to calculate the Pitch Angle of Sprocket, Pitch Angle of Sprocket formula is defined as a measure of the angle between the sprocket's circumference and the chain or belt wrapped around it, which is critical in determining the proper alignment and smooth operation of machinery and mechanical systems. Pitch Angle of Sprocket is denoted by α symbol.

How to calculate Pitch Angle of Sprocket using this online calculator? To use this online calculator for Pitch Angle of Sprocket, enter Number of Teeth on Sprocket (z) and hit the calculate button. Here is how the Pitch Angle of Sprocket calculation can be explained with given input values -> 1147.032 = (360/18)/57.24.

FAQ

What is Pitch Angle of Sprocket?

Pitch Angle of Sprocket formula is defined as a measure of the angle between the sprocket's circumference and the chain or belt wrapped around it, which is critical in determining the proper alignment and smooth operation of machinery and mechanical systems and is represented as α = (360/z)/57.24 or Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24. 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.

How to calculate Pitch Angle of Sprocket?

Pitch Angle of Sprocket formula is defined as a measure of the angle between the sprocket's circumference and the chain or belt wrapped around it, which is critical in determining the proper alignment and smooth operation of machinery and mechanical systems is calculated using Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24. To calculate Pitch Angle of Sprocket, 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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