Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Calculator

✖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 Belt Drive [i]			+10% -10%

✖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 given Transmission Ratio of Synchronous Belt Drive [n₁]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Belt Drives Formulas PDF PDF Image

Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Speed of Larger Pulley: 1920 Revolution per Minute --> 201.061929819508 Radian per Second (Check conversion here)
Transmission Ratio of Belt Drive: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n₁ = n₂*i --> 201.061929819508*3

Evaluating ... ...

n₁ = 603.185789458524

STEP 3: Convert Result to Output's Unit

603.185789458524 Radian per Second -->5760 Revolution per Minute (Check conversion here)

FINAL ANSWER

5760 Revolution per Minute <-- Speed of Smaller Pulley

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Machine Design » Design of Belt Drives » Synchronous Belt Drives » Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive

Credits

Created by Peri Krishna Karthik

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

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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

LaTeX 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

LaTeX 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

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

Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive Formula

LaTeX Go

Speed of Smaller Pulley = Speed of Larger Pulley*Transmission Ratio of Belt Drive
n₁ = n₂*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 Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive?

Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive calculator uses Speed of Smaller Pulley = Speed of Larger Pulley*Transmission Ratio of Belt Drive to calculate the Speed of Smaller Pulley, The Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive formula is defined as a relationship that describes how the rotational speed of one pulley is affected by the transmission ratio in a synchronous belt drive system. Speed of Smaller Pulley is denoted by n₁ symbol.

How to calculate Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive using this online calculator? To use this online calculator for Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive, enter Speed of Larger Pulley (n₂) & Transmission Ratio of Belt Drive (i) and hit the calculate button. Here is how the Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive calculation can be explained with given input values -> 55003.95 = 201.061929819508*3.

FAQ

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

The Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive formula is defined as a relationship that describes how the rotational speed of one pulley is affected by the transmission ratio in a synchronous belt drive system and is represented as n₁ = n₂*i or Speed of Smaller Pulley = Speed of Larger Pulley*Transmission Ratio of Belt Drive. Speed of Larger Pulley can be defined as the number of revolutions the larger sized pulley makes in a given unit of time & 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 Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive?

The Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive formula is defined as a relationship that describes how the rotational speed of one pulley is affected by the transmission ratio in a synchronous belt drive system is calculated using Speed of Smaller Pulley = Speed of Larger Pulley*Transmission Ratio of Belt Drive. To calculate Speed of Smaller Pulley given Transmission Ratio of Synchronous Belt Drive, you need Speed of Larger Pulley (n₂) & Transmission Ratio of Belt Drive (i). With our tool, you need to enter the respective value for Speed 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.

Home

FREE PDFs

🔍 Search