Question

What is the direction of $\omega$ as you can see a clock hanging on a vertical wall?

Answer 1

In order to answer this question, first we will clear the term of which the given symbol $\omega$, is the denotion. And then we will discuss the exact reason for the direction of $\omega$ as we can a clock hanging on a vertical wall.

Complete step by step answer:
As we know that, the angular velocity is denoted as the direction of $\omega$. The hands of a clock rotate in a clockwise direction in a uniform circular motion. We must utilise the right hand thumb rule to determine the angular velocity's direction. Stretch the right hand's thumb away from the other fingers, keeping the other fingers bent in the direction of the clock's hands' circular motion. The direction of the angular velocity is the same as the thumb's direction.

We are facing the clock, which is hung on a wall. The right hand thumb rule tells us that the angular velocity is moving away from the clock and toward the wall on which it is hung.Angular velocity or rotational velocity ( $\omega \,or\,\Omega$ ) , also known as angular frequency vector in physics, is a vector measure of rotation rate that relates to how fast an object spins or revolves relative to another point, i.e. how quickly the angular position or orientation of an object changes with time.

Angular velocity can be divided into two categories. The pace at which a point object revolves around a given origin, or the temporal rate at which its angular location changes relative to the origin, is referred to as orbital angular velocity. In contrast to orbital angular velocity, spin angular velocity relates to how fast a rigid body rotates with regard to its centre of rotation and is independent of the choice of origin.

Note: As we know that the working of a clock or the movement of a hand of clock is a circular motion, so the angular velocity of homogeneous circular motion is constant. The magnitude of velocity at $P$ equals magnitude of velocity at $Q$ equals magnitude of velocity at $R$ for uniform circular motion, and the direction of velocity at $P$ equals direction of velocity at $Q$ equals direction of velocity at $R$ .