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Pitch Angle of Sprocket Formula

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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. Check FAQs

α = \frac{\frac{360}{z}}{57.24}

α - Pitch Angle of Sprocket?z - Number of Teeth on Sprocket?

Pitch Angle of Sprocket Example

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Here is how the Pitch Angle of Sprocket equation looks like with Values.

Here is how the Pitch Angle of Sprocket equation looks like with Units.

Here is how the Pitch Angle of Sprocket equation looks like.

20.0195 = \frac{\frac{360}{18}}{57.24}

20.0195° = \frac{\frac{360}{18}}{57.24}

20.0195 = \frac{\frac{360}{18}}{57.24}

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Pitch Angle of Sprocket Solution

Follow our step by step solution on how to calculate Pitch Angle of Sprocket?

FIRST Step Consider the formula

α = \frac{\frac{360}{z}}{57.24}

Next Step Substitute values of Variables

∴

α = \frac{\frac{360}{18}}{57.24}

Next Step Prepare to Evaluate

∴

α = \frac{\frac{360}{18}}{57.24}

Next Step Evaluate

∴

α = 0.349406009783368rad

Next Step Convert to Output's Unit

∴

α = 20.0194896970975°

LAST Step Rounding Answer

∴

α = 20.0195°

Pitch Angle of Sprocket Formula Elements

Variables

Pitch Angle of Sprocket

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.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pitch Angle of Sprocket

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.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Sprocket

Other formulas in Proportions of the Sprocket Wheel category

Go Number of Teeth on Sprocket given Pitch Angle of Sprocket

z = \frac{360}{α \cdot (\frac{180}{π})}

Go Pitch Circle Diameter given Pitch

D s = \frac{P}{\sin (\frac{3.035}{z})}

Go Top Diameter of Sprocket Wheel

d a = D s + P \cdot (1 - (\frac{1.6}{z})) - 2 \cdot R

Go Pitch Circle Diameter given Top Diameter of Sprocket Wheel

D s = d a - P \cdot (1 - (\frac{1.6}{z})) + 2 \cdot R

How to Evaluate Pitch Angle of Sprocket?

Pitch Angle of Sprocket evaluator uses Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24 to evaluate 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 evaluate Pitch Angle of Sprocket using this online evaluator? To use this online evaluator for Pitch Angle of Sprocket, enter Number of Teeth on Sprocket (z) and hit the calculate button.

FAQs on Pitch Angle of Sprocket

What is the formula to find Pitch Angle of Sprocket?

The formula of Pitch Angle of Sprocket is expressed as Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24. Here is an example- 1147.032 = (360/18)/57.24.

How to calculate Pitch Angle of Sprocket?

With Number of Teeth on Sprocket (z) we can find Pitch Angle of Sprocket using the formula - Pitch Angle of Sprocket = (360/Number of Teeth on Sprocket)/57.24.

Can the Pitch Angle of Sprocket be negative?

No, the Pitch Angle of Sprocket, measured in Angle cannot be negative.

Which unit is used to measure Pitch Angle of Sprocket?

Pitch Angle of Sprocket is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Pitch Angle of Sprocket can be measured.

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