Question

Identify and explain the kinematics in rotational motion. Compare the kinematics in rotational

motion to the equivalent translational motion

Answer 1

The kinematics in rotational motion is the field of mechanics that ties together the variables that define the rotational motion: angular displacement $\phi$, angular velocity $\omega$, angular acceleration $\alpha$:

$$\alpha=\frac{\omega_f^2-\omega_i^2}{2\phi},\space a=\frac{v_f^2-v_i^2}{2d}.\\\space\\ \omega=\sqrt{2\alpha \phi},\space v=\sqrt{2ad}.\\\space\\ \phi=\frac 12 \alpha t^2,\space d=\frac12at^2.$$