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Number of Teeth given Minimum Tooth Flank Radius Formula

GoNumber of Teeth on Sprocket given Pitch Angle of Sprocket Formula

GoNumber of Teeth given Maximum Roller Seating Angle Formula

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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. Check FAQs

z = (\frac{re min}{0.24 \cdot R}) - 2

z - Number of Teeth on Sprocket?re_min - Minimum Tooth Flank Radius?R - Roller Radius of Chain?

Number of Teeth given Minimum Tooth Flank Radius Example

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Here is how the Number of Teeth given Minimum Tooth Flank Radius equation looks like with Values.

Here is how the Number of Teeth given Minimum Tooth Flank Radius equation looks like with Units.

Here is how the Number of Teeth given Minimum Tooth Flank Radius equation looks like.

17.9911 = (\frac{28.6}{0.24 \cdot 5.961}) - 2

17.9911 = (\frac{28.6mm}{0.24 \cdot 5.961mm}) - 2

17.9911 = (\frac{28.6}{0.24 \cdot 5.961}) - 2

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Number of Teeth given Minimum Tooth Flank Radius Solution

Follow our step by step solution on how to calculate Number of Teeth given Minimum Tooth Flank Radius?

FIRST Step Consider the formula

z = (\frac{re min}{0.24 \cdot R}) - 2

Next Step Substitute values of Variables

∴

z = (\frac{28.6mm}{0.24 \cdot 5.961mm}) - 2

Next Step Convert Units

∴

z = (\frac{0.0286m}{0.24 \cdot 0.006m}) - 2

Next Step Prepare to Evaluate

∴

z = (\frac{0.0286}{0.24 \cdot 0.006}) - 2

Next Step Evaluate

∴

z = 17.9910529553207

LAST Step Rounding Answer

∴

z = 17.9911

Number of Teeth given Minimum Tooth Flank Radius Formula Elements

Variables

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

Minimum Tooth Flank Radius

Minimum Tooth Flank Radius is the smallest radius of the tooth flank of a sprocket wheel, which affects the wheel's overall strength and durability.

Symbol: re_min

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Minimum Tooth Flank Radius

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

Other Formulas to find Number of Teeth on Sprocket

Go Number of Teeth on Sprocket given Pitch Angle of Sprocket

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

Go Number of Teeth given Maximum Roller Seating Angle

z = \frac{90}{120 - (α max \cdot \frac{180}{π})}

Go Number of Teeth given Minimum Roller Seating Angle

z = \frac{90}{140 - (α min \cdot \frac{180}{π})}

Go Number of Teeth given Maximum Tooth Height above Pitch Polygon

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

Other formulas in Proportions of the Sprocket Wheel category

Go Pitch Angle of Sprocket

α = \frac{\frac{360}{z}}{57.24}

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 Number of Teeth given Minimum Tooth Flank Radius?

Number of Teeth given Minimum Tooth Flank Radius evaluator uses Number of Teeth on Sprocket = (Minimum Tooth Flank Radius/(0.24*Roller Radius of Chain))-2 to evaluate the Number of Teeth on Sprocket, Number of Teeth given Minimum Tooth Flank Radius formula is defined as a method to determine the number of teeth on a gear based on the minimum tooth flank radius, which is a critical parameter in gear design that affects the gear's strength and durability. Number of Teeth on Sprocket is denoted by z symbol.

How to evaluate Number of Teeth given Minimum Tooth Flank Radius using this online evaluator? To use this online evaluator for Number of Teeth given Minimum Tooth Flank Radius, enter Minimum Tooth Flank Radius (re_min) & Roller Radius of Chain (R) and hit the calculate button.

FAQs on Number of Teeth given Minimum Tooth Flank Radius

What is the formula to find Number of Teeth given Minimum Tooth Flank Radius?

The formula of Number of Teeth given Minimum Tooth Flank Radius is expressed as Number of Teeth on Sprocket = (Minimum Tooth Flank Radius/(0.24*Roller Radius of Chain))-2. Here is an example- 17.86111 = (0.0286/(0.24*0.005961))-2.

How to calculate Number of Teeth given Minimum Tooth Flank Radius?

With Minimum Tooth Flank Radius (re_min) & Roller Radius of Chain (R) we can find Number of Teeth given Minimum Tooth Flank Radius using the formula - Number of Teeth on Sprocket = (Minimum Tooth Flank Radius/(0.24*Roller Radius of Chain))-2.

What are the other ways to Calculate Number of Teeth on Sprocket?

Here are the different ways to Calculate Number of Teeth on Sprocket-

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