Angular Displacement Calculator

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✖Distance Covered on the Circular Path is the distance covered by the object on the circular path.ⓘ Distance Covered on the Circular Path [s]			+10% -10%
✖The Radius of Curvature is the reciprocal of the curvature.ⓘ 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" = "s"/"R"_{"curvature"}`

Example

`"0.656383rad"="10m"/"15235mm"`

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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/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) - The Radius of Curvature is the reciprocal of the curvature.

STEP 1: Convert Input(s) to Base Unit

Distance Covered on the Circular Path: 10 Meter --> 10 Meter No Conversion Required
Radius of Curvature: 15235 Millimeter --> 15.235 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = s/R_curvature --> 10/15.235

Evaluating ... ...

θ = 0.656383327863472

STEP 3: Convert Result to Output's Unit

0.656383327863472 Radian --> No Conversion Required

FINAL ANSWER

0.656383327863472 ≈ 0.656383 Radian <-- Angular Displacement

(Calculation completed in 00.004 seconds)

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Angular Displacement Formula

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

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 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 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) & Radius of Curvature (R_curvature) and hit the calculate button. Here is how the Angular Displacement calculation can be explained with given input values -> 0.656383 = 10/15.235.

FAQ

What is 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 and is represented as θ = s/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 & The Radius of Curvature is the reciprocal of the curvature.

How to calculate 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 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) & 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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