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

✖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.ⓘ Pitch Diameter of Larger Pulley [d^'2]			+10% -10%
✖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.ⓘ Transmission Ratio of Belt Drive [i]			+10% -10%

✖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.ⓘ Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive [d^'1]

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

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Diameter of Smaller Pulley = Pitch Diameter of Larger Pulley/Transmission Ratio of Belt Drive
d^'1 = d^'2/i
This formula uses 3 Variables

Variables Used

Pitch Diameter of Smaller Pulley - (Measured in Meter) - 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.
Pitch Diameter of Larger Pulley - (Measured in Meter) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Pitch Diameter of Larger Pulley: 762 Millimeter --> 0.762 Meter (Check conversion here)
Transmission Ratio of Belt Drive: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d^'1 = d^'2/i --> 0.762/3

Evaluating ... ...

d^'1 = 0.254

STEP 3: Convert Result to Output's Unit

0.254 Meter -->254 Millimeter (Check conversion here)

FINAL ANSWER

254 Millimeter <-- Pitch Diameter of Smaller Pulley

(Calculation completed in 00.004 seconds)

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National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

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< Synchronous Belt Drives Calculators

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

LaTeX Go Transmission Ratio of Belt Drive = Number of Teeth on Larger Pulley/Number of Teeth on Smaller Pulley

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

Go Transmission Ratio of Belt Drive = Speed of Smaller Pulley/Speed of Larger Pulley

Speed of smaller pulley given Transmission ratio of Synchronous belt drive

Go Speed of Smaller Pulley = Speed of Larger Pulley*Transmission Ratio of Belt Drive

Speed of larger pulley given Transmission ratio of Synchronous belt drive

Go Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive

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

LaTeX Go

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

What is synchronous belt?

A toothed belt; timing belt; cogged belt; cog belt; or synchronous belt is a flexible belt with teeth moulded onto its inner surface. It is sometimes designed to run over matching toothed pulleys or sprockets. Toothed belts are used in a wide array of mechanical devices, where high-power transmission is desired.

What are the advantages of synchronous belt drive?

The advantages of synchronous belt drive are,
no slippage and creep of the belt on sprockets. Because of this, there is no place for loss of rotations and powers at the given time. No need for high assembly loads as v-belts to obtain slipless and creepless drive. This means that there are no excessive radial loads on the motor and shafts. They can be used in machinery where precision is very important. At power transmission of 3D printers, robotic mechanisms, synchronous belt drive mechanisms are generally used.

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

Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive calculator uses Pitch Diameter of Smaller Pulley = Pitch Diameter of Larger Pulley/Transmission Ratio of Belt Drive to calculate 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 calculate Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive using this online calculator? To use this online calculator 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. Here is how the Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive calculation can be explained with given input values -> 254000 = 0.762/3.

FAQ

What is Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive?

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 and is represented as d^'1 = d^'2/i or Pitch Diameter of Smaller Pulley = Pitch Diameter of Larger Pulley/Transmission Ratio of Belt Drive. 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 & 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.

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

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 is calculated using Pitch Diameter of Smaller Pulley = Pitch Diameter of Larger Pulley/Transmission Ratio of Belt Drive. To calculate Pitch Diameter of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive, you need Pitch Diameter of Larger Pulley (d^'2) & Transmission Ratio of Belt Drive (i). With our tool, you need to enter the respective value for Pitch Diameter of Larger Pulley & Transmission Ratio of Belt Drive and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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