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

✖Speed of Smaller Pulley can be defined as the number of revolutions the smaller-sized pulley makes in a given unit of time.ⓘ Speed of Smaller Pulley [n₁]			+10% -10%
✖Speed of Larger Pulley can be defined as the number of revolutions the larger sized pulley makes in a given unit of time.ⓘ Speed of Larger Pulley [n₂]			+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 Synchronous belt drive given Speed of smaller and larger pulley [i]

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Formula

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

Formula

`"i" = "n"_{"1"}/"n"_{"2"} `

Example

`"0.333333"="640rev/min"/"1920rev/min" `

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

STEP 0: Pre-Calculation Summary

Formula Used

Transmission Ratio of Belt Drive = Speed of Smaller Pulley/Speed of Larger Pulley
i = n₁/n₂
This formula uses 3 Variables

Variables Used

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.
Speed of Smaller Pulley - (Measured in Radian per Second) - Speed of Smaller Pulley can be defined as the number of revolutions the smaller-sized pulley makes in a given unit of time.
Speed of Larger Pulley - (Measured in Radian per Second) - Speed of Larger Pulley can be defined as the number of revolutions the larger sized pulley makes in a given unit of time.

STEP 1: Convert Input(s) to Base Unit

Speed of Smaller Pulley: 640 Revolution per Minute --> 67.0206432731694 Radian per Second (Check conversion here)
Speed of Larger Pulley: 1920 Revolution per Minute --> 201.061929819508 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = n₁/n₂ --> 67.0206432731694/201.061929819508

Evaluating ... ...

i = 0.333333333333334

STEP 3: Convert Result to Output's Unit

0.333333333333334 --> No Conversion Required

FINAL ANSWER

0.333333333333334 ≈ 0.333333 <-- Transmission Ratio of Belt Drive

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Belt Drives » Synchronous Belt Drives » Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley

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Created by Peri Krishna Karthik

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

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< 18 Synchronous Belt Drives Calculators

Distance from Belt pitch line to Pulley tip circle radius

Go Belt Pitch Line and Pulley Tip Circle Radius Width = (Pulley Pitch Diameter/2)-(Pulley Outside Diameter/2)

Pulley outside Diameter given Distance between Belt Pitch line and Pulley tip circle radius

Go Pulley Outside Diameter = Pulley Pitch Diameter-(2*Belt Pitch Line and Pulley Tip Circle Radius Width)

Pulley Pitch Diameter given Distance between Belt pitch line and Pulley tip circle radius

Go Pulley Pitch Diameter = (2*Belt Pitch Line and Pulley Tip Circle Radius Width)+Pulley Outside Diameter

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

Go Transmission Ratio of Belt Drive = Number of teeth on larger pulley/Number of teeth on smaller pulley

Number of Teeth in Smaller pulley given Transmission ratio of Synchronous belt drive

Go Number of teeth on smaller pulley = Number of teeth on larger pulley/Transmission Ratio of Belt Drive

Number of Teeth in larger pulley given Transmission ratio of Synchronous belt drive

Go Number of teeth on larger pulley = Number of teeth on smaller pulley*Transmission Ratio of Belt Drive

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

Go Transmission Ratio of Belt Drive = Pitch Diameter of Larger Pulley/Pitch Diameter of Smaller Pulley

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

Go Pitch Diameter of Smaller Pulley = Pitch Diameter of Larger Pulley/Transmission Ratio of Belt Drive

Pitch Diameter of Larger Pulley given Transmission Ratio of Synchronous Belt Drive

Go Pitch Diameter of Larger Pulley = Pitch Diameter of Smaller Pulley*Transmission Ratio of Belt Drive

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

Number of Teeth in Belt given Datum Length of Synchronous Belt

Go Number of teeth on belt = Datum length of Belt/Circular Pitch for Synchronous Belt

Pitch given Datum Length of Synchronous Belt

Go Circular Pitch for Synchronous Belt = Datum length of Belt/Number of teeth on belt

Datum length of synchronous belt

Go Datum length of Belt = Circular Pitch for Synchronous Belt*Number of teeth on belt

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

Standard Capacity of selected Belt given Power transmitted by Synchronous Belt

Go Standard Capacity of Belt = Power transmitted by belt*Service Correction Factor

Service Correction Factor given Power transmitted by Synchronous Belt

Go Service Correction Factor = Standard Capacity of Belt/Power transmitted by belt

Power transmitted by synchronous belt

Go Power transmitted by belt = Standard Capacity of Belt/Service Correction Factor

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

Transmission Ratio of Belt Drive = Speed of Smaller Pulley/Speed of Larger Pulley
i = n₁/n₂

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

Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley calculator uses Transmission Ratio of Belt Drive = Speed of Smaller Pulley/Speed of Larger Pulley to calculate the Transmission Ratio of Belt Drive, The Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley formula is used to find the rotations made by the larger pulley for a single rotations of smaller pulley. Transmission Ratio of Belt Drive is denoted by i symbol.

How to calculate Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley using this online calculator? To use this online calculator for Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley, enter Speed of Smaller Pulley (n₁) & Speed of Larger Pulley (n₂) and hit the calculate button. Here is how the Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley calculation can be explained with given input values -> 0.333333 = 67.0206432731694/201.061929819508 .

FAQ

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

The Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley formula is used to find the rotations made by the larger pulley for a single rotations of smaller pulley and is represented as i = n₁/n₂ or Transmission Ratio of Belt Drive = Speed of Smaller Pulley/Speed of Larger Pulley. Speed of Smaller Pulley can be defined as the number of revolutions the smaller-sized pulley makes in a given unit of time & Speed of Larger Pulley can be defined as the number of revolutions the larger sized pulley makes in a given unit of time.

How to calculate Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley?

The Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley formula is used to find the rotations made by the larger pulley for a single rotations of smaller pulley is calculated using Transmission Ratio of Belt Drive = Speed of Smaller Pulley/Speed of Larger Pulley. To calculate Transmission Ratio of Synchronous belt drive given Speed of smaller and larger pulley, you need Speed of Smaller Pulley (n₁) & Speed of Larger Pulley (n₂). With our tool, you need to enter the respective value for Speed of Smaller Pulley & Speed of Larger Pulley and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Transmission Ratio of Belt Drive?

In this formula, Transmission Ratio of Belt Drive uses Speed of Smaller Pulley & Speed of Larger Pulley. We can use 2 other way(s) to calculate the same, which is/are as follows -

Transmission Ratio of Belt Drive = Number of teeth on larger pulley/Number of teeth on smaller pulley
Transmission Ratio of Belt Drive = Pitch Diameter of Larger Pulley/Pitch Diameter of Smaller Pulley

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