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Average Angular Velocity Formula

GoAngular Velocity of Body Moving in Circle Formula

GoAngular Velocity given Linear Velocity Formula

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The 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 = \frac{ω in + ω fi}{2}

ω - Angular Velocity?ω_in - Initial Angular Velocity of Object?ω_fi - Final Angular Velocity of Object?

Average Angular Velocity Example

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Here is how the Average Angular Velocity equation looks like with Values.

Here is how the Average Angular Velocity equation looks like with Units.

Here is how the Average Angular Velocity equation looks like.

36 = \frac{24 + 48}{2}

36rad/s = \frac{24rad/s + 48rad/s}{2}

36 = \frac{24 + 48}{2}

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Average Angular Velocity Solution

Follow our step by step solution on how to calculate Average Angular Velocity?

FIRST Step Consider the formula

ω = \frac{ω in + ω fi}{2}

Next Step Substitute values of Variables

∴

ω = \frac{24rad/s + 48rad/s}{2}

Next Step Prepare to Evaluate

∴

ω = \frac{24 + 48}{2}

LAST Step Evaluate

∴

ω = 36rad/s

Average Angular Velocity Formula Elements

Variables

Angular Velocity

The 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 should be greater than 0.

Formulas to find Angular Velocity

Initial Angular Velocity of Object

Initial Angular Velocity of Object undergoing curvilinear motion is calculated concerning time and acceleration.

Symbol: ω_in

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Initial Angular Velocity of Object

Final Angular Velocity of Object

Final Angular Velocity of Object refers to the angular velocity (rate of rotation) of the object at the end of a given time interval.

Symbol: ω_fi

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Final Angular Velocity of Object

Other Formulas to find Angular Velocity

Go Angular Velocity of Body Moving in Circle

ω = \frac{θ cm}{t cm}

Go Angular Velocity given Linear Velocity

ω = \frac{v cm}{r}

Other formulas in Curvilinear Motion category

Go Angular Acceleration given Linear Acceleration

α cm = \frac{a cm}{r}

Go Final Angular Velocity

ω fi = ω in + α cm \cdot t cm

Go Initial Angular Velocity

ω in = ω fi - α cm \cdot t cm

Go Angular Displacement given Angular Acceleration

θ cm = ω in \cdot t cm + \frac{1}{2} \cdot α cm \cdot {t cm}^{2}

How to Evaluate Average Angular Velocity?

Average Angular Velocity evaluator uses Angular Velocity = (Initial Angular Velocity of Object+Final Angular Velocity of Object)/2 to evaluate the Angular Velocity, Average Angular Velocity formula is defined as the mean value of the angular velocity of an object undergoing rotational motion, providing a measure of the rate of change of its angular displacement over a specific period of time. Angular Velocity is denoted by ω symbol.

How to evaluate Average Angular Velocity using this online evaluator? To use this online evaluator for Average Angular Velocity, enter Initial Angular Velocity of Object (ω_in) & Final Angular Velocity of Object (ω_fi) and hit the calculate button.

FAQs on Average Angular Velocity

What is the formula to find Average Angular Velocity?

The formula of Average Angular Velocity is expressed as Angular Velocity = (Initial Angular Velocity of Object+Final Angular Velocity of Object)/2. Here is an example- 36 = (24+48)/2.

How to calculate Average Angular Velocity?

With Initial Angular Velocity of Object (ω_in) & Final Angular Velocity of Object (ω_fi) we can find Average Angular Velocity using the formula - Angular Velocity = (Initial Angular Velocity of Object+Final Angular Velocity of Object)/2.

What are the other ways to Calculate Angular Velocity?

Here are the different ways to Calculate Angular Velocity-

Angular Velocity=Angular Displacement/Time Period
Angular Velocity=Velocity of Curvilinear Motion/Radius

Can the Average Angular Velocity be negative?

No, the Average Angular Velocity, measured in Angular Velocity cannot be negative.

Which unit is used to measure Average Angular Velocity?

Average Angular Velocity 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 Average Angular Velocity can be measured.

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: Unit

Average Angular Velocity Formula

​GoAngular Velocity of Body Moving in Circle Formula

​GoAngular Velocity given Linear Velocity Formula

Average Angular Velocity Example

Average Angular Velocity Solution

Average Angular Velocity Formula Elements

Other Formulas to find Angular Velocity

Other formulas in Curvilinear Motion category

How to Evaluate Average Angular Velocity?

FAQs on Average Angular Velocity

Variable Name

GoAngular Velocity of Body Moving in Circle Formula

GoAngular Velocity given Linear Velocity Formula