Angular Velocity given Revolution Per Unit Time Calculator

✖Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit.ⓘ Revolutions per Second [ṅ]

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✖Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity given Revolution Per Unit Time [ω]

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Formula

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Angular Velocity given Revolution Per Unit Time

Formula

`"ω" = 2*pi*"ṅ"`

Example

`"33.30088rad/s"=2*pi*"5.3rev/s"`

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Angular Velocity given Revolution Per Unit Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = 2*pi*Revolutions per Second
ω = 2*pi*ṅ
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Angular Velocity - (Measured in Radian per Second) - Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Revolutions per Second - (Measured in Hertz) - Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit.

STEP 1: Convert Input(s) to Base Unit

Revolutions per Second: 5.3 Revolution per Second --> 5.3 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = 2*pi*ṅ --> 2*pi*5.3

Evaluating ... ...

ω = 33.3008821280518

STEP 3: Convert Result to Output's Unit

33.3008821280518 Radian per Second --> No Conversion Required

FINAL ANSWER

33.3008821280518 ≈ 33.30088 Radian per Second <-- Angular Velocity

(Calculation completed in 00.020 seconds)

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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Angular Velocity given Revolution Per Unit Time Formula

Angular Velocity = 2*pi*Revolutions per Second
ω = 2*pi*ṅ

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Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What are the Applications of Fluid Dynamics?

Fluid Dynamics can be applied in the following ways: Fluid dynamics is used to calculate the forces acting upon the aeroplane. It is used to find the flow rates of material such as petroleum from pipelines. It can also be used in traffic engineering (traffic treated as continuous liquid flow).

How to Calculate Angular Velocity given Revolution Per Unit Time?

Angular Velocity given Revolution Per Unit Time calculator uses Angular Velocity = 2*pi*Revolutions per Second to calculate the Angular Velocity, The Angular Velocity given Revolution Per Unit Time formula is defined as twice the product of pi and revolution per unit time. Angular velocity is the vector measure of the rotation rate, which refers to how fast an object rotates or revolves relative to another point. Angular velocity is the time rate at which an object rotates or revolves about an axis. Angular velocity is represented by the Greek letter omega (ω, sometimes Ω). It is measured in angle per unit time; hence, the SI unit of angular velocity is radians per second. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity given Revolution Per Unit Time using this online calculator? To use this online calculator for Angular Velocity given Revolution Per Unit Time, enter Revolutions per Second (ṅ) and hit the calculate button. Here is how the Angular Velocity given Revolution Per Unit Time calculation can be explained with given input values -> 33.30088 = 2*pi*5.3.

FAQ

What is Angular Velocity given Revolution Per Unit Time?

The Angular Velocity given Revolution Per Unit Time formula is defined as twice the product of pi and revolution per unit time. Angular velocity is the vector measure of the rotation rate, which refers to how fast an object rotates or revolves relative to another point. Angular velocity is the time rate at which an object rotates or revolves about an axis. Angular velocity is represented by the Greek letter omega (ω, sometimes Ω). It is measured in angle per unit time; hence, the SI unit of angular velocity is radians per second and is represented as ω = 2*pi*ṅ or Angular Velocity = 2*pi*Revolutions per Second. Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit.

How to calculate Angular Velocity given Revolution Per Unit Time?

The Angular Velocity given Revolution Per Unit Time formula is defined as twice the product of pi and revolution per unit time. Angular velocity is the vector measure of the rotation rate, which refers to how fast an object rotates or revolves relative to another point. Angular velocity is the time rate at which an object rotates or revolves about an axis. Angular velocity is represented by the Greek letter omega (ω, sometimes Ω). It is measured in angle per unit time; hence, the SI unit of angular velocity is radians per second is calculated using Angular Velocity = 2*pi*Revolutions per Second. To calculate Angular Velocity given Revolution Per Unit Time, you need Revolutions per Second (ṅ). With our tool, you need to enter the respective value for Revolutions per Second 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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