Question

what do you understand by angular displacement​

Answer 1

Answer:

Angular displacement of a body is the angle in radians (degrees, revolutions) through which a point revolves around a centre or line has been rotated in a specified sense about a specified axis.

Answer 2

Angular displacement

Angular displacement is the angle measured in radians and 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 a vector quantity. It has both direction and magnitude. It is represented by a circular arrow pointing from the initial point to the final point, which is either clockwise or anti-clockwise in direction.

Formula of Angular Displacement

Angular displacement of a point can be given by using the following formula,

Angulardisplacement=θf−θi

Where,

θ=s/r

Here, θ is the angular displacement of the object through which the movement has occurred, s is the distance covered by the object on the circular path and r is the radius of curvature of the given path.

When the acceleration of the object (α), the initial angular velocity (ω) and the time (t) at which the displacement is to be calculated is known, we can use the following formula.

θ=wt+1/2αt2

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