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Maximum Tooth Height above Pitch Polygon Formula

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Maximum Sprocket Tooth Height is the highest point of the tooth on the sprocket wheel, critical in determining the wheel's overall dimensions and functionality. Check FAQs

ha max = 0.625 \cdot P - R + (0.8 \cdot \frac{P}{z})

ha_max - Maximum Sprocket Tooth Height?P - Pitch of Chain?R - Roller Radius of Chain?z - Number of Teeth on Sprocket?

Maximum Tooth Height above Pitch Polygon Example

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Here is how the Maximum Tooth Height above Pitch Polygon equation looks like with Values.

Here is how the Maximum Tooth Height above Pitch Polygon equation looks like with Units.

Here is how the Maximum Tooth Height above Pitch Polygon equation looks like.

8.7668 = 0.625 \cdot 22 - 5.961 + (0.8 \cdot \frac{22}{18})

8.7668mm = 0.625 \cdot 22mm - 5.961mm + (0.8 \cdot \frac{22mm}{18})

8.7668 = 0.625 \cdot 22 - 5.961 + (0.8 \cdot \frac{22}{18})

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Maximum Tooth Height above Pitch Polygon Solution

Follow our step by step solution on how to calculate Maximum Tooth Height above Pitch Polygon?

FIRST Step Consider the formula

ha max = 0.625 \cdot P - R + (0.8 \cdot \frac{P}{z})

Next Step Substitute values of Variables

∴

ha max = 0.625 \cdot 22mm - 5.961mm + (0.8 \cdot \frac{22mm}{18})

Next Step Convert Units

∴

ha max = 0.625 \cdot 0.022m - 0.006m + (0.8 \cdot \frac{0.022m}{18})

Next Step Prepare to Evaluate

∴

ha max = 0.625 \cdot 0.022 - 0.006 + (0.8 \cdot \frac{0.022}{18})

Next Step Evaluate

∴

ha max = 0.00876677777777778m

Next Step Convert to Output's Unit

∴

ha max = 8.76677777777778mm

LAST Step Rounding Answer

∴

ha max = 8.7668mm

Maximum Tooth Height above Pitch Polygon Formula Elements

Variables

Maximum Sprocket Tooth Height

Maximum Sprocket Tooth Height is the highest point of the tooth on the sprocket wheel, critical in determining the wheel's overall dimensions and functionality.

Symbol: ha_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Sprocket Tooth Height

Pitch of Chain

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.

Symbol: P

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch of Chain

Roller Radius of Chain

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.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roller Radius of 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.

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 Pitch Angle of Sprocket

α = \frac{\frac{360}{z}}{57.24}

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

How to Evaluate Maximum Tooth Height above Pitch Polygon?

Maximum Tooth Height above Pitch Polygon evaluator uses Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of Teeth on Sprocket) to evaluate the Maximum Sprocket Tooth Height, Maximum Tooth Height above Pitch Polygon formula is defined as the maximum vertical distance from the pitch circle to the top of the tooth, which is a critical parameter in gear design that affects the performance and efficiency of the gear system. Maximum Sprocket Tooth Height is denoted by ha_max symbol.

How to evaluate Maximum Tooth Height above Pitch Polygon using this online evaluator? To use this online evaluator for Maximum Tooth Height above Pitch Polygon, enter Pitch of Chain (P), Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) and hit the calculate button.

FAQs on Maximum Tooth Height above Pitch Polygon

What is the formula to find Maximum Tooth Height above Pitch Polygon?

The formula of Maximum Tooth Height above Pitch Polygon is expressed as Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of Teeth on Sprocket). Here is an example- 8727.778 = 0.625*0.022-0.005961+(0.8*0.022/18).

How to calculate Maximum Tooth Height above Pitch Polygon?

With Pitch of Chain (P), Roller Radius of Chain (R) & Number of Teeth on Sprocket (z) we can find Maximum Tooth Height above Pitch Polygon using the formula - Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of Teeth on Sprocket).

Can the Maximum Tooth Height above Pitch Polygon be negative?

No, the Maximum Tooth Height above Pitch Polygon, measured in Length cannot be negative.

Which unit is used to measure Maximum Tooth Height above Pitch Polygon?

Maximum Tooth Height above Pitch Polygon is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Maximum Tooth Height above Pitch Polygon can be measured.

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Maximum Tooth Height above Pitch Polygon Formula

Maximum Tooth Height above Pitch Polygon Example

Maximum Tooth Height above Pitch Polygon Solution

Maximum Tooth Height above Pitch Polygon Formula Elements

Other formulas in Proportions of the Sprocket Wheel category

How to Evaluate Maximum Tooth Height above Pitch Polygon?

FAQs on Maximum Tooth Height above Pitch Polygon

Variable Name