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Angular Displacement Formula

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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. Check FAQs

θ = \frac{s cir}{R curvature}

θ - Angular Displacement?s_cir - Distance Covered on the Circular Path?R_curvature - Radius of Curvature?

Angular Displacement Example

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With units

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Here is how the Angular Displacement equation looks like with Values.

Here is how the Angular Displacement equation looks like with Units.

Here is how the Angular Displacement equation looks like.

37.608 = \frac{10}{15.235}

37.608° = \frac{10m}{15.235m}

37.608 = \frac{10}{15.235}

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Angular Displacement Solution

Follow our step by step solution on how to calculate Angular Displacement?

FIRST Step Consider the formula

θ = \frac{s cir}{R curvature}

Next Step Substitute values of Variables

∴

θ = \frac{10m}{15.235m}

Next Step Prepare to Evaluate

∴

θ = \frac{10}{15.235}

Next Step Evaluate

∴

θ = 0.656383327863472rad

Next Step Convert to Output's Unit

∴

θ = 37.6079944293358°

LAST Step Rounding Answer

∴

θ = 37.608°

Angular Displacement Formula Elements

Variables

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

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angular Displacement

Distance Covered on the Circular Path

Distance Covered on the Circular Path is the distance covered by the object on the circular path.

Symbol: s_cir

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance Covered on the Circular Path

Radius of Curvature

Radius of curvature refers to the radius of the circle that best approximates the curvature of a curve at a particular point.

Symbol: R_curvature

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curvature

Other formulas in Circular Motion category

Go Angular Speed

ω = \frac{θ}{t total}

Go Speed of Object in Circular Motion

V = 2 \cdot π \cdot r \cdot f

Go Centripetal Force

F C = \frac{M \cdot v^{2}}{r}

How to Evaluate Angular Displacement?

Angular Displacement evaluator uses Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature to evaluate the Angular Displacement, Angular Displacement formula is defined as a measure of the angle through which an object rotates around a circular path, describing the amount of rotation of an object in a circular motion, providing a way to quantify the rotational movement of an object. Angular Displacement is denoted by θ symbol.

How to evaluate Angular Displacement using this online evaluator? To use this online evaluator for Angular Displacement, enter Distance Covered on the Circular Path (s_cir) & Radius of Curvature (R_curvature) and hit the calculate button.

FAQs on Angular Displacement

What is the formula to find Angular Displacement?

The formula of Angular Displacement is expressed as Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature. Here is an example- 2154.779 = 10/15.235.

How to calculate Angular Displacement?

With Distance Covered on the Circular Path (s_cir) & Radius of Curvature (R_curvature) we can find Angular Displacement using the formula - Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature.

Can the Angular Displacement be negative?

Yes, the Angular Displacement, measured in Angle can be negative.

Which unit is used to measure Angular Displacement?

Angular Displacement is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angular Displacement can be measured.

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