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Angular Velocity of Body Moving in Circle Formula

GoAngular Velocity given Linear Velocity Formula

GoAverage Angular 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{θ cm}{t cm}

ω - Angular Velocity?θ_cm - Angular Displacement?t_cm - Time Period?

Angular Velocity of Body Moving in Circle Example

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Here is how the Angular Velocity of Body Moving in Circle equation looks like with Values.

Here is how the Angular Velocity of Body Moving in Circle equation looks like with Units.

Here is how the Angular Velocity of Body Moving in Circle equation looks like.

35.9945 = \frac{6187}{3}

35.9945rad/s = \frac{6187°}{3s}

35.9945 = \frac{6187}{3}

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Angular Velocity of Body Moving in Circle Solution

Follow our step by step solution on how to calculate Angular Velocity of Body Moving in Circle?

FIRST Step Consider the formula

ω = \frac{θ cm}{t cm}

Next Step Substitute values of Variables

∴

ω = \frac{6187°}{3s}

Next Step Convert Units

∴

ω = \frac{107.9835rad}{3s}

Next Step Prepare to Evaluate

∴

ω = \frac{107.9835}{3}

Next Step Evaluate

∴

ω = 35.9945069402897rad/s

LAST Step Rounding Answer

∴

ω = 35.9945rad/s

Angular Velocity of Body Moving in Circle 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

Angular Displacement

Angular displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point.

Symbol: θ_cm

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angular Displacement

Time Period

Time Period is the duration of time it takes for a repeating event or cycle to complete one full cycle.

Symbol: t_cm

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period

Other Formulas to find Angular Velocity

Go Angular Velocity given Linear Velocity

ω = \frac{v cm}{r}

Go Average Angular Velocity

ω = \frac{ω in + ω fi}{2}

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 Angular Velocity of Body Moving in Circle?

Angular Velocity of Body Moving in Circle evaluator uses Angular Velocity = Angular Displacement/Time Period to evaluate the Angular Velocity, Angular Velocity of Body Moving in Circle formula is defined as a measure of how fast an object rotates or revolves when it moves in a circular path, describing the rate of change of its angular displacement with respect to time. Angular Velocity is denoted by ω symbol.

How to evaluate Angular Velocity of Body Moving in Circle using this online evaluator? To use this online evaluator for Angular Velocity of Body Moving in Circle, enter Angular Displacement (θ_cm) & Time Period (t_cm) and hit the calculate button.

FAQs on Angular Velocity of Body Moving in Circle

What is the formula to find Angular Velocity of Body Moving in Circle?

The formula of Angular Velocity of Body Moving in Circle is expressed as Angular Velocity = Angular Displacement/Time Period. Here is an example- 35.99451 = 107.983520820869/3.

How to calculate Angular Velocity of Body Moving in Circle?

With Angular Displacement (θ_cm) & Time Period (t_cm) we can find Angular Velocity of Body Moving in Circle using the formula - Angular Velocity = Angular Displacement/Time Period.

What are the other ways to Calculate Angular Velocity?

Here are the different ways to Calculate Angular Velocity-

Angular Velocity=Velocity of Curvilinear Motion/Radius
Angular Velocity=(Initial Angular Velocity of Object+Final Angular Velocity of Object)/2

Can the Angular Velocity of Body Moving in Circle be negative?

No, the Angular Velocity of Body Moving in Circle, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Velocity of Body Moving in Circle?

Angular Velocity of Body Moving in Circle 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 of Body Moving in Circle can be measured.

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: Value
: Unit

Angular Velocity of Body Moving in Circle Formula

​GoAngular Velocity given Linear Velocity Formula

​GoAverage Angular Velocity Formula

Angular Velocity of Body Moving in Circle Example

Angular Velocity of Body Moving in Circle Solution

Angular Velocity of Body Moving in Circle Formula Elements

Other Formulas to find Angular Velocity

Other formulas in Curvilinear Motion category

How to Evaluate Angular Velocity of Body Moving in Circle?

FAQs on Angular Velocity of Body Moving in Circle

Variable Name

GoAngular Velocity given Linear Velocity Formula

GoAverage Angular Velocity Formula