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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. Check FAQs
i=d'2d'1
i - Transmission Ratio of Belt Drive?d'2 - Pitch Diameter of Larger Pulley?d'1 - Pitch Diameter of Smaller Pulley?

Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley Example

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

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

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

3Edit=762Edit254Edit
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Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley Solution

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

FIRST Step Consider the formula
i=d'2d'1
Next Step Substitute values of Variables
∴ i=762mm254mm
Next Step Convert Units
∴ i=0.762m0.254m
Next Step Prepare to Evaluate
∴ i=0.7620.254
LAST Step Evaluate
∴i=3

Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley Formula Elements

Variables
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 DriveOpen Variable
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 PulleyOpen Variable
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 PulleyOpen Variable

Other Formulas to find Transmission Ratio of Belt Drive

​Go Transmission Ratio of Synchronous Belt Drive given Speed of Smaller and Larger Pulley
i=n1n2
​Go Transmission Ratio of Synchronous Belt Drive given no. of Teeth in Smaller and Larger Pulley
i=T2T1

Other formulas in Synchronous Belt Drives category

​Go Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive
n2=n1i
​Go Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive
n1=n2⋅i
​Go Number of Teeth in Smaller Pulley given Transmission Ratio of Synchronous Belt Drive
T1=T2i
​Go Number of Teeth in Larger Pulley given Transmission Ratio of Synchronous Belt Drive
T2=T1⋅i

How to Evaluate Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley?

Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley evaluator uses Transmission Ratio of Belt Drive = Pitch Diameter of Larger Pulley/Pitch Diameter of Smaller Pulley to evaluate the Transmission Ratio of Belt Drive, Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley formula is defined as the relationship between the diameters of two pulleys in a synchronous belt drive, indicating how rotational speed is transferred between them. Transmission Ratio of Belt Drive is denoted by i symbol.

How to evaluate Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley using this online evaluator? To use this online evaluator for Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley, enter Pitch Diameter of Larger Pulley (d'2) & Pitch Diameter of Smaller Pulley (d'1) and hit the calculate button.

FAQs on Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley

What is the formula to find Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley?
The formula of Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley is expressed as Transmission Ratio of Belt Drive = Pitch Diameter of Larger Pulley/Pitch Diameter of Smaller Pulley. Here is an example- 3 = 0.762/0.254.
How to calculate Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley?
With Pitch Diameter of Larger Pulley (d'2) & Pitch Diameter of Smaller Pulley (d'1) we can find Transmission Ratio of Synchronous Belt drive given Pitch Diameter of Smaller and Larger Pulley using the formula - Transmission Ratio of Belt Drive = Pitch Diameter of Larger Pulley/Pitch Diameter of Smaller Pulley.
What are the other ways to Calculate Transmission Ratio of Belt Drive?
Here are the different ways to Calculate Transmission Ratio of Belt Drive-
  • Transmission Ratio of Belt Drive=Speed of Smaller Pulley/Speed of Larger PulleyOpenImg
  • Transmission Ratio of Belt Drive=Number of Teeth on Larger Pulley/Number of Teeth on Smaller PulleyOpenImg
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