Question

The variation of angular position $\theta ,$ of a point on a rotating rigid body, with time $t$ s shown in figure. Is the body rotating clockwise or anti-clockwise?

Answer 1

As we know slope of angular position-time graph gives angular velocity.

In the given graph, slope of $\theta -t$ graph is positive,

$\frac{d\theta }{dt}=\omega =(+)ve$

$(\because Inclination<{90}^{\circ })$

and positive slope indicates anti-clockwise rotation, which is traditionally taken as positive.

Final answer: Anti-clockwise