Speed of smaller pulley given pitch diameter of both pulleys 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%
✖Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.ⓘ Diameter of Small Pulley [d]			+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 pitch diameter of both pulleys [n₁]

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Formula

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Speed of smaller pulley given pitch diameter of both pulleys

Formula

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

Example

`"5760rev/min"="810mm"*"1920rev/min"/"270mm"`

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Speed of smaller pulley given pitch diameter of both pulleys Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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)
Diameter of Small Pulley: 270 Millimeter --> 0.27 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n₁ = D*n₂/d --> 0.81*201.061929819508/0.27

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)

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Home » Engineering » Mechanical » Machine Design » Design of Belt Drives » V-Belt Drives » Selection of V-Belts » Speed of smaller pulley given pitch diameter of both pulleys

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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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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)

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Speed of smaller pulley given pitch diameter of both pulleys Formula

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

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 Speed of smaller pulley given pitch diameter of both pulleys?

Speed of smaller pulley given pitch diameter of both pulleys calculator uses Speed of Smaller Pulley = Diameter of Big Pulley*Speed of Larger Pulley/Diameter of Small Pulley to calculate the Speed of Smaller Pulley, Speed of smaller pulley given pitch diameter of both pulleys is defined as speed with which smaller pulley of belt drive is rotating. Speed of Smaller Pulley is denoted by n₁ symbol.

How to calculate Speed of smaller pulley given pitch diameter of both pulleys using this online calculator? To use this online calculator for Speed of smaller pulley given pitch diameter of both pulleys, enter Diameter of Big Pulley (D), Speed of Larger Pulley (n₂) & Diameter of Small Pulley (d) and hit the calculate button. Here is how the Speed of smaller pulley given pitch diameter of both pulleys calculation can be explained with given input values -> 55003.95 = 0.81*201.061929819508/0.27.

FAQ

What is Speed of smaller pulley given pitch diameter of both pulleys?

Speed of smaller pulley given pitch diameter of both pulleys is defined as speed with which smaller pulley of belt drive is rotating and is represented as n₁ = D*n₂/d or Speed of Smaller Pulley = Diameter of Big Pulley*Speed of Larger Pulley/Diameter of Small 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 & Diameter of Small Pulley is the distance from side to side of the flat of the Small pulley.

How to calculate Speed of smaller pulley given pitch diameter of both pulleys?

Speed of smaller pulley given pitch diameter of both pulleys is defined as speed with which smaller pulley of belt drive is rotating is calculated using Speed of Smaller Pulley = Diameter of Big Pulley*Speed of Larger Pulley/Diameter of Small Pulley. To calculate Speed of smaller pulley given pitch diameter of both pulleys, you need Diameter of Big Pulley (D), Speed of Larger Pulley (n₂) & Diameter of Small Pulley (d). With our tool, you need to enter the respective value for Diameter of Big Pulley, Speed of Larger Pulley & Diameter of Small 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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