Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive 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%
✖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 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 given Transmission Ratio of Synchronous Belt Drive [n₂]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 Smaller Pulley: 640 Revolution per Minute --> 67.0206432731694 Radian per Second (Check conversion here)
Transmission Ratio of Belt Drive: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n₂ = n₁/i --> 67.0206432731694/3

Evaluating ... ...

n₂ = 22.3402144243898

STEP 3: Convert Result to Output's Unit

22.3402144243898 Radian per Second -->213.333333333333 Revolution per Minute (Check conversion here)

FINAL ANSWER

213.333333333333 ≈ 213.3333 Revolution per Minute <-- Speed of Larger Pulley

(Calculation completed in 00.004 seconds)

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Created by Peri Krishna Karthik

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

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 Larger Pulley given Transmission Ratio of Synchronous Belt Drive Formula

LaTeX Go

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

Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive calculator uses Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive to calculate the Speed of Larger Pulley, The Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive formula is defined as a relationship that describes how the rotational speed of a larger pulley is influenced by the transmission ratio in a synchronous belt drive system. Speed of Larger Pulley is denoted by n₂ symbol.

How to calculate Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive using this online calculator? To use this online calculator for Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive, enter Speed of Smaller Pulley (n₁) & Transmission Ratio of Belt Drive (i) and hit the calculate button. Here is how the Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive calculation can be explained with given input values -> 2037.183 = 67.0206432731694/3.

FAQ

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

The Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive formula is defined as a relationship that describes how the rotational speed of a larger pulley is influenced by the transmission ratio in a synchronous belt drive system and is represented as n₂ = n₁/i or Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive. Speed of Smaller Pulley can be defined as the number of revolutions the smaller-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 Larger Pulley given Transmission Ratio of Synchronous Belt Drive?

The Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive formula is defined as a relationship that describes how the rotational speed of a larger pulley is influenced by the transmission ratio in a synchronous belt drive system is calculated using Speed of Larger Pulley = Speed of Smaller Pulley/Transmission Ratio of Belt Drive. To calculate Speed of Larger Pulley given Transmission Ratio of Synchronous Belt Drive, you need Speed of Smaller Pulley (n₁) & Transmission Ratio of Belt Drive (i). With our tool, you need to enter the respective value for Speed of Smaller 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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