Answer to Question #126395 in Physics for ha

Question

In constant angular acceleration, the counterparts of angular displacement, angular velocity and angular acceleration are?

Answer 1

An angular displacement is defined as (in constant angular acceleration $\varepsilon$ ):

$$\Delta\phi = \omega_0t + \dfrac{\varepsilon t^2}{2}$$

where $\omega_0$ is the initial angular velocity.

The counterpart is the displacement for the linear motion (with constant acceleration $a$ ):

$$\Delta x = v_0t + \dfrac{a t^2}{2}$$

where $v_0$ is the initial velocity.

An angular velocity is defined as:

$$\omega = \varepsilon t$$

The counterpart is the velocity for the linear motion:

$$v = at$$

The counterpart fot the angular acceleration is the linear acceleration

$$\varepsilon \leftrightarrow a$$