Question

Q. angular displacement is said to be of_______radian when S=r?​

Answer 1

Answer:

theta = 1

Explanation:

S = r

let

S = r = x

S = r theta

$\frac{s}{r} = theta$

$\frac{x}{x} = theta$

$1 = theta$

proved

Answer 2

Answer:

Angular displacement is said to be one radian when S = r.

Explanation:

Angular displacement is defined as the angle in radians through which a point or line has been rotated in a specific sense about a specific axis.

Consider a particle in a circular motion in anticlockwise.

Let A be the initial position of the particle at $t=0$.

And B is the position at a time $t$.

Let $\theta$ be the angular displacement in time with r as the radius of the circle and $s$ as the length of the arc AB.

Now, angular displacement is given as:

$\theta$ = Length of arc/radius of the circle

Therefore, $\theta=\frac{s}{r}$

When $S=r$

$\theta=1radians$.

When $S=r$ the angular displacement is one radian.

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