Number of Teeth on Sprocket given Pitch Angle of Sprocket Calculator

✖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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✖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 given Pitch Angle of Sprocket [z]

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Number of Teeth on Sprocket given Pitch Angle of Sprocket Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi))
z = 360/(α*(180/pi))
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Pitch Angle of Sprocket: 20 Degree --> 0.3490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = 360/(α*(180/pi)) --> 360/(0.3490658503988*(180/pi))

Evaluating ... ...

z = 18.0000000000034

STEP 3: Convert Result to Output's Unit

18.0000000000034 --> No Conversion Required

FINAL ANSWER

18.0000000000034 ≈ 18 <-- Number of Teeth on 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 » Number of Teeth on Sprocket given Pitch Angle of Sprocket

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Number of Teeth on Sprocket given Pitch Angle of Sprocket Formula

LaTeX Go

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

What is Pitch Angle of Sprocket?

The pitch angle of a sprocket is the angle between two adjacent teeth measured at the pitch circle. It determines how the chain or belt fits and engages with the sprocket, affecting the smoothness and efficiency of power transmission. The pitch angle is critical for ensuring proper alignment and operation of the chain drive system.

How to Calculate Number of Teeth on Sprocket given Pitch Angle of Sprocket?

Number of Teeth on Sprocket given Pitch Angle of Sprocket calculator uses Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi)) to calculate the Number of Teeth on Sprocket, Number of Teeth on Sprocket given Pitch Angle of Sprocket formula is defined as a measure that determines the total number of teeth present on a sprocket, which is a critical component in a transmission system, based on the pitch angle of the sprocket, providing essential information for designing and building mechanical systems. Number of Teeth on Sprocket is denoted by z symbol.

How to calculate Number of Teeth on Sprocket given Pitch Angle of Sprocket using this online calculator? To use this online calculator for Number of Teeth on Sprocket given Pitch Angle of Sprocket, enter Pitch Angle of Sprocket (α) and hit the calculate button. Here is how the Number of Teeth on Sprocket given Pitch Angle of Sprocket calculation can be explained with given input values -> 20 = 360/(0.3490658503988*(180/pi)).

FAQ

What is Number of Teeth on Sprocket given Pitch Angle of Sprocket?

Number of Teeth on Sprocket given Pitch Angle of Sprocket formula is defined as a measure that determines the total number of teeth present on a sprocket, which is a critical component in a transmission system, based on the pitch angle of the sprocket, providing essential information for designing and building mechanical systems and is represented as z = 360/(α*(180/pi)) or Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi)). 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.

How to calculate Number of Teeth on Sprocket given Pitch Angle of Sprocket?

Number of Teeth on Sprocket given Pitch Angle of Sprocket formula is defined as a measure that determines the total number of teeth present on a sprocket, which is a critical component in a transmission system, based on the pitch angle of the sprocket, providing essential information for designing and building mechanical systems is calculated using Number of Teeth on Sprocket = 360/(Pitch Angle of Sprocket*(180/pi)). To calculate Number of Teeth on Sprocket given Pitch Angle of Sprocket, you need Pitch Angle of Sprocket (α). With our tool, you need to enter the respective value for Pitch Angle of Sprocket 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 Number of Teeth on Sprocket?

In this formula, Number of Teeth on Sprocket uses Pitch Angle of Sprocket. We can use 3 other way(s) to calculate the same, which is/are as follows -

Number of Teeth on Sprocket = (Minimum Tooth Flank Radius/(0.24*Roller Radius of Chain))-2
Number of Teeth on Sprocket = 90/(120-(Maximum Roller Seating Angle*180/pi))
Number of Teeth on Sprocket = 90/(140-(Minimum Roller Seating Angle*180/pi))

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