Angular Displacement Calculator

✖Distance Covered on the Circular Path is the distance covered by the object on the circular path.ⓘ Distance Covered on the Circular Path [s_cir]			+10% -10%
✖Radius of curvature refers to the radius of the circle that best approximates the curvature of a curve at a particular point.ⓘ Radius of Curvature [R_curvature]			+10% -10%

✖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.ⓘ Angular Displacement [θ]

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Formula

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Angular Displacement

Formula

θ = \frac{s cir}{R curvature}

Example

37.60799 ° = \frac{10 m}{15.235 m}

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Angular Displacement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature
θ = s_cir/R_curvature
This formula uses 3 Variables

Variables Used

Angular Displacement - (Measured in Radian) - 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.
Distance Covered on the Circular Path - (Measured in Meter) - Distance Covered on the Circular Path is the distance covered by the object on the circular path.
Radius of Curvature - (Measured in Meter) - Radius of curvature refers to the radius of the circle that best approximates the curvature of a curve at a particular point.

STEP 1: Convert Input(s) to Base Unit

Distance Covered on the Circular Path: 10 Meter --> 10 Meter No Conversion Required
Radius of Curvature: 15.235 Meter --> 15.235 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = s_cir/R_curvature --> 10/15.235

Evaluating ... ...

θ = 0.656383327863472

STEP 3: Convert Result to Output's Unit

0.656383327863472 Radian -->37.6079944293358 Degree (Check conversion here)

FINAL ANSWER

37.6079944293358 ≈ 37.60799 Degree <-- Angular Displacement

(Calculation completed in 00.004 seconds)

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< Circular Motion Calculators

Speed of Object in Circular Motion

Go Speed of object moving in Circle = 2*pi*Radius*Frequency

Angular Displacement

Go Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature

Centripetal Force

Go Centripetal Force = (Mass*Velocity^2)/Radius

Angular Speed

Go Angular Speed = Angular Displacement/Total Time Taken

Angular Displacement Formula

Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature
θ = s_cir/R_curvature

What is Angle?

An angle is a measure of the rotation or inclination between two intersecting lines, rays, or planes, typically measured in degrees or radians. It quantifies the amount of turn between the two lines from their point of intersection.

How to Calculate Angular Displacement?

Angular Displacement calculator uses Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature to calculate 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 calculate Angular Displacement using this online calculator? To use this online calculator for Angular Displacement, enter Distance Covered on the Circular Path (s_cir) & Radius of Curvature (R_curvature) and hit the calculate button. Here is how the Angular Displacement calculation can be explained with given input values -> 2154.779 = 10/15.235.

FAQ

What is 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 and is represented as θ = s_cir/R_curvature or Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature. Distance Covered on the Circular Path is the distance covered by the object on the circular path & Radius of curvature refers to the radius of the circle that best approximates the curvature of a curve at a particular point.

How to calculate 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 is calculated using Angular Displacement = Distance Covered on the Circular Path/Radius of Curvature. To calculate Angular Displacement, you need Distance Covered on the Circular Path (s_cir) & Radius of Curvature (R_curvature). With our tool, you need to enter the respective value for Distance Covered on the Circular Path & Radius of Curvature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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