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Angular Velocity given Revolution Per Unit Time Formula

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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. Check FAQs

ω = 2 \cdot π \cdot ṅ

ω - Angular Velocity?ṅ - Revolutions per Second?π - Archimedes' constant?

Angular Velocity given Revolution Per Unit Time Example

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Here is how the Angular Velocity given Revolution Per Unit Time equation looks like with Values.

Here is how the Angular Velocity given Revolution Per Unit Time equation looks like with Units.

Here is how the Angular Velocity given Revolution Per Unit Time equation looks like.

33.3009 = 2 \cdot 3.1416 \cdot 5.3

33.3009rad/s = 2 \cdot 3.1416 \cdot 5.3rev/s

33.3009 = 2 \cdot 3.1416 \cdot 5.3

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Angular Velocity given Revolution Per Unit Time Solution

Follow our step by step solution on how to calculate Angular Velocity given Revolution Per Unit Time?

FIRST Step Consider the formula

ω = 2 \cdot π \cdot ṅ

Next Step Substitute values of Variables

∴

ω = 2 \cdot π \cdot 5.3rev/s

Next Step Substitute values of Constants

∴

ω = 2 \cdot 3.1416 \cdot 5.3rev/s

Next Step Convert Units

∴

ω = 2 \cdot 3.1416 \cdot 5.3Hz

Next Step Prepare to Evaluate

∴

ω = 2 \cdot 3.1416 \cdot 5.3

Next Step Evaluate

∴

ω = 33.3008821280518rad/s

LAST Step Rounding Answer

∴

ω = 33.3009rad/s

Angular Velocity given Revolution Per Unit Time Formula Elements

Variables

Constants

Angular Velocity

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.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Revolutions per Second

Revolutions per second are the number of times the shaft rotates in a second. It is a frequency unit.

Symbol: ṅ

Measurement: FrequencyUnit: rev/s

Note: Value can be positive or negative.

Formulas to find Revolutions per Second

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Properties of Fluids category

Go Specific Volume of Fluid given Mass

v = \frac{V T}{m}

Go Specific Total Energy

e = \frac{E}{m}

Go Specific Volume given Density

v = \frac{1}{ρ}

Go Density of Fluid

ρ = \frac{m}{V T}

How to Evaluate Angular Velocity given Revolution Per Unit Time?

Angular Velocity given Revolution Per Unit Time evaluator uses Angular Velocity = 2*pi*Revolutions per Second to evaluate 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 evaluate Angular Velocity given Revolution Per Unit Time using this online evaluator? To use this online evaluator for Angular Velocity given Revolution Per Unit Time, enter Revolutions per Second (ṅ) and hit the calculate button.

FAQs on Angular Velocity given Revolution Per Unit Time

What is the formula to find Angular Velocity given Revolution Per Unit Time?

The formula of Angular Velocity given Revolution Per Unit Time is expressed as Angular Velocity = 2*pi*Revolutions per Second. Here is an example- 33.30088 = 2*pi*5.3.

How to calculate Angular Velocity given Revolution Per Unit Time?

With Revolutions per Second (ṅ) we can find Angular Velocity given Revolution Per Unit Time using the formula - Angular Velocity = 2*pi*Revolutions per Second. This formula also uses Archimedes' constant .

Can the Angular Velocity given Revolution Per Unit Time be negative?

Yes, the Angular Velocity given Revolution Per Unit Time, measured in Angular Velocity can be negative.

Which unit is used to measure Angular Velocity given Revolution Per Unit Time?

Angular Velocity given Revolution Per Unit Time is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Velocity given Revolution Per Unit Time can be measured.

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