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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
This formula uses 2 Variables
Variables Used
Distance Covered on the Circular Path - Distance Covered on the Circular Path is the distance covered by the object on the circular path. (Measured in Meter)
Radius of Curvature - In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. (Measured in Meter)
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 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = s/r --> 10/15
Evaluating ... ...
θ = 0.666666666666667
STEP 3: Convert Result to Output's Unit
0.666666666666667 Radian --> No Conversion Required
FINAL ANSWER
0.666666666666667 Radian <-- Angular Displacement
(Calculation completed in 00.016 seconds)
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10 Other formulas that you can solve using the same Inputs

Velocity in an accelerated flight
velocity = ((Radius of Curvature/Mass)*(Lift force+(Thrust force*sin(Thrust angle))-(Mass*[g]*cos(Flight path angle))))^(1/2) Go
Lift in an accelerated flight
lift_force = (Mass*[g]*cos(Flight path angle))+(Mass*(Velocity^2)/Radius of Curvature)-(Thrust force*sin(Thrust angle)) Go
Number of Division where Bubble Moves when Staff Intercept is Given
number_of_division = Staff intercept*Radius of Curvature/(One division length*Distance) Go
Angle Between the Line of Sights in Radians when Radius of Curvature of Tube is Given
angle_between_los = Number of division*One division length/Radius of Curvature Go
Radius for the cylinder-wedge body shape
radius = Radius of Curvature/(1.386*exp(1.8/(Mach Number-1)^0.75)) Go
Radius for the sphere-cone body shape
radius = Radius of Curvature/(1.143*exp(0.54/(Mach Number-1)^1.2)) Go
Centripetal Force or Centrifugal Force when angular velocity, mass and radius of curvature are given
centripetal_force = Mass*(Angular velocity^2)*Radius of Curvature Go
Tangential Acceleration
tangential_acceleration = Angular Acceleration*Radius of Curvature Go
Normal Acceleration
normal_acceleration = (Angular velocity^2)*Radius of Curvature Go
Angular Velocity in terms of tangential velocity
angular_velocity_1 = Tangential Velocity/Radius of Curvature Go

5 Other formulas that calculate the same Output

Angular Displacement if initial angular velocity, angular acceleration and time are given
angular_displacement = (Angular Velocity*Time Taken to Travel)+((Angular Acceleration*(Time Taken to Travel)^2)/2) Go
Angular displacement
angular_displacement = (Initial angular velocity*Time)+(1/2*Angular acceleration*(Time^2)) Go
Angular Displacement of body when initial and final angular velocity and angular acceleration are given
angular_displacement = ((Final Angular Velocity)^2-(Angular Velocity)^2)/(2*Angular Acceleration) Go
Angular Displacement if initial angular velocity, final angular velocity and time are given
angular_displacement = ((Angular Velocity+Final Angular Velocity)*Time Taken to Travel)/2 Go
Angle Traced in nth Second (accelerated rotatory motion)
angular_displacement = Angular Velocity+((Angular Acceleration*(2*Nth Second-1))/2) Go

Angular Displacement Formula

angular_displacement = Distance Covered on the Circular Path/Radius of Curvature
θ = s/r

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 and 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) and Radius of Curvature (r) and hit the calculate button. Here is how the Angular Displacement calculation can be explained with given input values -> 0.666667 = 10/15.

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 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 and In differential geometry, the radius of curvature, R, 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) and Radius of Curvature (r). With our tool, you need to enter the respective value for Distance Covered on the Circular Path and Radius of Curvature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Angular Displacement?
In this formula, Angular Displacement uses Distance Covered on the Circular Path and Radius of Curvature. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • angular_displacement = ((Final Angular Velocity)^2-(Angular Velocity)^2)/(2*Angular Acceleration)
  • angular_displacement = (Angular Velocity*Time Taken to Travel)+((Angular Acceleration*(Time Taken to Travel)^2)/2)
  • angular_displacement = ((Angular Velocity+Final Angular Velocity)*Time Taken to Travel)/2
  • angular_displacement = Angular Velocity+((Angular Acceleration*(2*Nth Second-1))/2)
  • angular_displacement = (Initial angular velocity*Time)+(1/2*Angular acceleration*(Time^2))
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