====== 5. Rotational motion ====== **** ===== - Uniform circular motion ===== {{ :courses:phy101:5.1.png?nolink&550 |}} {{ :courses:phy101:5.2.png?nolink |}} ===== - Rotational quantities ===== ==== Angular position ($\theta$) ==== {{ :courses:phy101:5.3.png?nolink |}} {{ :courses:phy101:5.4.png?nolink |}} ==== Angular velocity ($\omega$) ==== {{ :courses:phy101:5.5.png?nolink |}} {{ :courses:phy101:5.6.png?nolink |}} ==== Angular acceleration ($\alpha$) ==== {{ :courses:phy101:5.7.png?nolink |}} {{ :courses:phy101:5.8.png?nolink |}} ===== - Rotation with constant angular acceleration ===== \begin{align} \theta = \theta_0 + \omega_{av} t \\ \omega = \omega_0 + \alpha t \\ \theta = \theta_0 + \omega_0t + \frac{1}{2} \alpha t^2 \\ \omega^2 = \omega_0^2 + 2\alpha(\theta-\theta_0) \end{align} ===== - Angular and translational motions ===== {{ :courses:phy101:5.9.png?nolink |}} ===== - Kinetic energy and moment of inertia ===== {{ :courses:phy101:5.10.png?nolink&550 |}} ===== - Torque ===== {{ :courses:phy101:5.11.png?nolink |}} {{ :courses:phy101:5.12.png?nolink |}} {{ :courses:phy101:5.13.png?nolink |}} ===== - Newton's law for rotation ===== {{ :courses:phy101:5.14.png?nolink |}} ===== - Work and power ===== {{ :courses:phy101:5.15.png?nolink |}} ===== - Angular momentum ===== {{ :courses:phy101:5.16.png?nolink |}} {{ :courses:phy101:5.17.png?nolink |}} ===== - Conservation of angular momentum ===== {{ :courses:phy101:5.19.png?nolink&400 |}} {{ :courses:phy101:5.18.png?nolink |}}