Pitch diameter of smaller pulley given pitch diameter of big pulley Calculator

✖Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.ⓘ Diameter of Big Pulley [D]			+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%
✖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%

✖Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.ⓘ Pitch diameter of smaller pulley given pitch diameter of big pulley [d]

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Formula

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Pitch diameter of smaller pulley given pitch diameter of big pulley

Formula

`"d" = "D"*("n"_{"2"}/"n"_{"1"})`

Example

`"2430mm"="810mm"*("1920rev/min"/"640rev/min")`

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Pitch diameter of smaller pulley given pitch diameter of big pulley Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Small Pulley = Diameter of Big Pulley*(Speed of Larger Pulley/Speed of Smaller Pulley)
d = D*(n₂/n₁)
This formula uses 4 Variables

Variables Used

Diameter of Small Pulley - (Measured in Meter) - Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.
Diameter of Big Pulley - (Measured in Meter) - Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Big Pulley: 810 Millimeter --> 0.81 Meter (Check conversion here)
Speed of Larger Pulley: 1920 Revolution per Minute --> 201.061929819508 Radian per Second (Check conversion here)
Speed of Smaller Pulley: 640 Revolution per Minute --> 67.0206432731694 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = D*(n₂/n₁) --> 0.81*(201.061929819508/67.0206432731694)

Evaluating ... ...

d = 2.43

STEP 3: Convert Result to Output's Unit

2.43 Meter -->2430 Millimeter (Check conversion here)

FINAL ANSWER

2430 Millimeter <-- Diameter of Small Pulley

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Selection of V-Belts Calculators

Pitch diameter of smaller pulley given pitch diameter of big pulley

Go Diameter of Small Pulley = Diameter of Big Pulley*(Speed of Larger Pulley/Speed of Smaller Pulley)

Speed of bigger pulley given speed of smaller pulley

Go Speed of Larger Pulley = Diameter of Small Pulley*(Speed of Smaller Pulley/Diameter of Big Pulley)

Pitch diameter of big pulley of V Belt drive

Go Diameter of Big Pulley = Diameter of Small Pulley*(Speed of Smaller Pulley/Speed of Larger Pulley)

Speed of smaller pulley given pitch diameter of both pulleys

Go Speed of Smaller Pulley = Diameter of Big Pulley*Speed of Larger Pulley/Diameter of Small Pulley

Correction Factor for Industrial Service given Design Power

Go Correction Factor for Industrial Service = Design Power of Belt Drive/Power transmitted by belt

Transmitted Power given Design Power

Go Power transmitted by belt = Design Power of Belt Drive/Correction Factor for Industrial Service

Design Power for V Belt

Go Design Power of Belt Drive = Correction Factor for Industrial Service*Power transmitted by belt

Pitch diameter of smaller pulley given pitch diameter of big pulley Formula

Diameter of Small Pulley = Diameter of Big Pulley*(Speed of Larger Pulley/Speed of Smaller Pulley)
d = D*(n₂/n₁)

Define a Belt Drive?

A belt drive is a transmission system that uses a flexible strip to transfer power. The turning disk is connected by a belt drive to the electric motor. A rubber belt drive is used to transfer power from one pulley to another.

How to Calculate Pitch diameter of smaller pulley given pitch diameter of big pulley?

Pitch diameter of smaller pulley given pitch diameter of big pulley calculator uses Diameter of Small Pulley = Diameter of Big Pulley*(Speed of Larger Pulley/Speed of Smaller Pulley) to calculate the Diameter of Small Pulley, Pitch diameter of smaller pulley given pitch diameter of big pulley is defined as the diameter of the smaller pulley use in the belt drives. Diameter of Small Pulley is denoted by d symbol.

How to calculate Pitch diameter of smaller pulley given pitch diameter of big pulley using this online calculator? To use this online calculator for Pitch diameter of smaller pulley given pitch diameter of big pulley, enter Diameter of Big Pulley (D), Speed of Larger Pulley (n₂) & Speed of Smaller Pulley (n₁) and hit the calculate button. Here is how the Pitch diameter of smaller pulley given pitch diameter of big pulley calculation can be explained with given input values -> 2.4E+6 = 0.81*(201.061929819508/67.0206432731694).

FAQ

What is Pitch diameter of smaller pulley given pitch diameter of big pulley?

Pitch diameter of smaller pulley given pitch diameter of big pulley is defined as the diameter of the smaller pulley use in the belt drives and is represented as d = D*(n₂/n₁) or Diameter of Small Pulley = Diameter of Big Pulley*(Speed of Larger Pulley/Speed of Smaller Pulley). Diameter of Big Pulley is the distance from side to side of the flat of the Big pulley, 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 can be defined as the number of revolutions the smaller-sized pulley makes in a given unit of time.

How to calculate Pitch diameter of smaller pulley given pitch diameter of big pulley?

Pitch diameter of smaller pulley given pitch diameter of big pulley is defined as the diameter of the smaller pulley use in the belt drives is calculated using Diameter of Small Pulley = Diameter of Big Pulley*(Speed of Larger Pulley/Speed of Smaller Pulley). To calculate Pitch diameter of smaller pulley given pitch diameter of big pulley, you need Diameter of Big Pulley (D), Speed of Larger Pulley (n₂) & Speed of Smaller Pulley (n₁). With our tool, you need to enter the respective value for Diameter of Big Pulley, Speed of Larger Pulley & Speed of Smaller Pulley 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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