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Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Formula

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Pitch Diameter of Smaller Pulley is the diameter where the side of the belt will effectively grip. and it is used to calculate the speed ratio of the drive. Check FAQs

d' 1 = \frac{d' 2}{i}

d^'1 - Pitch Diameter of Smaller Pulley?d^'2 - Pitch Diameter of Larger Pulley?i - Transmission Ratio of Belt Drive?

Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Example

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Here is how the Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive equation looks like with Values.

Here is how the Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive equation looks like with Units.

Here is how the Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive equation looks like.

254 = \frac{762}{3}

254mm = \frac{762mm}{3}

254 = \frac{762}{3}

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Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Solution

Follow our step by step solution on how to calculate Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive?

FIRST Step Consider the formula

d' 1 = \frac{d' 2}{i}

Next Step Substitute values of Variables

∴

d' 1 = \frac{762mm}{3}

Next Step Convert Units

∴

d' 1 = \frac{0.762m}{3}

Next Step Prepare to Evaluate

∴

d' 1 = \frac{0.762}{3}

Next Step Evaluate

∴

d' 1 = 0.254m

LAST Step Convert to Output's Unit

∴

d' 1 = 254mm

Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Formula Elements

Variables

Pitch Diameter of Smaller Pulley

Pitch Diameter of Smaller Pulley is the diameter where the side of the belt will effectively grip. and it is used to calculate the speed ratio of the drive.

Symbol: d^'1

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Diameter of Smaller Pulley

Pitch Diameter of Larger Pulley

Pitch Diameter of Larger Pulley is the diameter where the side of the belt will effectively grip. and it is used to calculate the speed ratio of the drive.

Symbol: d^'2

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Diameter of Larger Pulley

Transmission Ratio of Belt Drive

The Transmission Ratio of Belt Drive is defined as the ratio of the large to small pulley size and can be calculated by dividing the number of teeth in the large pulley by those in the small pulley.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Transmission Ratio of Belt Drive

Other formulas in Synchronous Belt Drives category

Go Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley

i = \frac{n 1}{n 2}

Go Speed of larger pulley given Transmission ratio of Synchronous belt drive

n 2 = \frac{n 1}{i}

Go Speed of smaller pulley given Transmission ratio of Synchronous belt drive

n 1 = n 2 \cdot i

Go Transmission Ratio of Synchronous belt drive given no. of teeth in smaller and larger pulley

i = \frac{T 2}{T 1}

How to Evaluate Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive?

Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive evaluator uses Pitch Diameter of Smaller Pulley = Pitch Diameter of Larger Pulley/Transmission Ratio of Belt Drive to evaluate the Pitch Diameter of Smaller Pulley, The Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive formula is used to find the pitch diameter of smaller pulley which is the critical element in designing of synchronous belt drive. Pitch Diameter of Smaller Pulley is denoted by d^'1 symbol.

How to evaluate Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive using this online evaluator? To use this online evaluator for Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive, enter Pitch Diameter of Larger Pulley (d^'2) & Transmission Ratio of Belt Drive (i) and hit the calculate button.

FAQs on Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive

What is the formula to find Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive?

The formula of Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive is expressed as Pitch Diameter of Smaller Pulley = Pitch Diameter of Larger Pulley/Transmission Ratio of Belt Drive. Here is an example- 254000 = 0.762/3.

How to calculate Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive?

With Pitch Diameter of Larger Pulley (d^'2) & Transmission Ratio of Belt Drive (i) we can find Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive using the formula - Pitch Diameter of Smaller Pulley = Pitch Diameter of Larger Pulley/Transmission Ratio of Belt Drive.

Can the Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive be negative?

No, the Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive, measured in Length cannot be negative.

Which unit is used to measure Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive?

Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive can be measured.

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Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Formula

Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Example

Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Solution

Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Formula Elements

Other formulas in Synchronous Belt Drives category

How to Evaluate Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive?

FAQs on Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive

Variable Name