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Angular Velocity given Linear Velocity Formula

GoAngular Velocity of Body Moving in Circle 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{v cm}{r}

ω - Angular Velocity?v_cm - Velocity of Curvilinear Motion?r - Radius?

Angular Velocity given Linear Velocity Example

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

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

Here is how the Angular Velocity given Linear Velocity equation looks like.

36.2319 = \frac{25}{0.69}

36.2319rad/s = \frac{25m/s}{0.69m}

36.2319 = \frac{25}{0.69}

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Angular Velocity given Linear Velocity Solution

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

FIRST Step Consider the formula

ω = \frac{v cm}{r}

Next Step Substitute values of Variables

∴

ω = \frac{25m/s}{0.69m}

Next Step Prepare to Evaluate

∴

ω = \frac{25}{0.69}

Next Step Evaluate

∴

ω = 36.231884057971rad/s

LAST Step Rounding Answer

∴

ω = 36.2319rad/s

Angular Velocity given Linear 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

Velocity of Curvilinear Motion

Velocity of Curvilinear Motion is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: v_cm

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Curvilinear Motion

Radius

Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius

Other Formulas to find Angular Velocity

Go Angular Velocity of Body Moving in Circle

ω = \frac{θ cm}{t cm}

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 given Linear Velocity?

Angular Velocity given Linear Velocity evaluator uses Angular Velocity = Velocity of Curvilinear Motion/Radius to evaluate the Angular Velocity, Angular Velocity given Linear Velocity formula is defined as a measure of the rate of change of angular displacement of an object with respect to time, providing a way to quantify the rotational motion of an object in terms of its linear velocity and radius. Angular Velocity is denoted by ω symbol.

How to evaluate Angular Velocity given Linear Velocity using this online evaluator? To use this online evaluator for Angular Velocity given Linear Velocity, enter Velocity of Curvilinear Motion (v_cm) & Radius (r) and hit the calculate button.

FAQs on Angular Velocity given Linear Velocity

What is the formula to find Angular Velocity given Linear Velocity?

The formula of Angular Velocity given Linear Velocity is expressed as Angular Velocity = Velocity of Curvilinear Motion/Radius. Here is an example- 36.23188 = 25/0.69.

How to calculate Angular Velocity given Linear Velocity?

With Velocity of Curvilinear Motion (v_cm) & Radius (r) we can find Angular Velocity given Linear Velocity using the formula - Angular Velocity = Velocity of Curvilinear Motion/Radius.

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

Can the Angular Velocity given Linear Velocity be negative?

No, the Angular Velocity given Linear Velocity, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Velocity given Linear Velocity?

Angular Velocity given Linear 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 Angular Velocity given Linear Velocity can be measured.

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Angular Velocity given Linear Velocity Formula

​GoAngular Velocity of Body Moving in Circle Formula

​GoAverage Angular Velocity Formula

Angular Velocity given Linear Velocity Example

Angular Velocity given Linear Velocity Solution

Angular Velocity given Linear Velocity Formula Elements

Other Formulas to find Angular Velocity

Other formulas in Curvilinear Motion category

How to Evaluate Angular Velocity given Linear Velocity?

FAQs on Angular Velocity given Linear Velocity

Variable Name

GoAngular Velocity of Body Moving in Circle Formula

GoAverage Angular Velocity Formula