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- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/10%3A_Fixed-Axis_Rotation__Introduction/10.03%3A_Rotation_with_Constant_Angular_AccelerationThe kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linear...The kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linearly, so the average angular velocity is 1/2 the initial plus final angular velocity over a given time period. A graphical analysis involves finding the area under an angular velocity-vs.-time or angular acceleration-vs.-time graph to get the change in angular displacement and velocity, respectively.
- https://phys.libretexts.org/Courses/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/23%3A_N9)_Rotational_Motion/23.02%3A_Rotation_with_Constant_Angular_AccelerationThe kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linear...The kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linearly, so the average angular velocity is 1/2 the initial plus final angular velocity over a given time period. A graphical analysis involves finding the area under an angular velocity-vs.-time or angular acceleration-vs.-time graph to get the change in angular displacement and velocity, respectively.
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/02%3A_Module_1-_One-Dimensional_Kinematics/2.02%3A_Objective_1.b./2.2.03%3A_Rotation_with_Constant_Angular_AccelerationThe kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linear...The kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linearly, so the average angular velocity is 1/2 the initial plus final angular velocity over a given time period. A graphical analysis involves finding the area under an angular velocity-vs.-time or angular acceleration-vs.-time graph to get the change in angular displacement and velocity, respectively.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/03%3A__Relative_and_Rotational_Motion/3.03%3A_Rotation_with_Constant_Angular_Acceleration\[\begin{split} \theta_{f} & = \theta_{0} + \omega_{0} \left(\dfrac{\omega_{f} - \omega_{0}}{\alpha}\right) + \frac{1}{2} \alpha \left(\dfrac{\omega_{f} - \omega_{0}}{\alpha}\right)^{2} \\ & = \theta_...\[\begin{split} \theta_{f} & = \theta_{0} + \omega_{0} \left(\dfrac{\omega_{f} - \omega_{0}}{\alpha}\right) + \frac{1}{2} \alpha \left(\dfrac{\omega_{f} - \omega_{0}}{\alpha}\right)^{2} \\ & = \theta_{0} + \frac{\omega_{0} \omega_{f}}{\alpha} - \frac{\omega_{0}^{2}}{\alpha} + \frac{1}{2} \frac{\omega_{f}^{2}}{\alpha} - \frac{\omega_{0} \omega_{f}}{\alpha} + \frac{1}{2} \frac{\omega_{0}^{2}}{\alpha} \\ & = \theta_{0} + \frac{1}{2} \frac{\omega_{f}^{2}}{\alpha} - \frac{1}{2} \frac{\omega_{0}^{2}}…
- https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/10%3A_Rotational_Motion_and_Angular_Momentum/10.02%3A_Kinematics_of_Rotational_MotionJust by using our intuition, we can begin to see how rotational quantities like θ,ω and α are related to one another. For example, if a motorcycle wheel has a large angular acceleration for a fair...Just by using our intuition, we can begin to see how rotational quantities like θ,ω and α are related to one another. For example, if a motorcycle wheel has a large angular acceleration for a fairly long time, it ends up spinning rapidly and rotates through many revolutions. In more technical terms, if the wheel’s angular acceleration α is large for a long period of time t then the final angular velocity ω and angle of rotation θ are large.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/11%3A_Rotational_Kinematics_Angular_Momentum_and_Energy/11.03%3A_Rotation_with_Constant_Angular_AccelerationThe kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linear...The kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linearly, so the average angular velocity is 1/2 the initial plus final angular velocity over a given time period. A graphical analysis involves finding the area under an angular velocity-vs.-time or angular acceleration-vs.-time graph to get the change in angular displacement and velocity, respectively.
- https://phys.libretexts.org/Courses/Merrimack_College/Conservation_Laws_Newton's_Laws_and_Kinematics_version_2.0/22%3A_N9)_Rotational_Motion/22.02%3A_Rotation_with_Constant_Angular_AccelerationThe kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linear...The kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linearly, so the average angular velocity is 1/2 the initial plus final angular velocity over a given time period. A graphical analysis involves finding the area under an angular velocity-vs.-time or angular acceleration-vs.-time graph to get the change in angular displacement and velocity, respectively.
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC%3A_Physics_121_-_General_Physics_I/11%3A_Fixed-Axis_Rotation__Introduction/11.03%3A_Rotation_with_Constant_Angular_AccelerationThe kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linear...The kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linearly, so the average angular velocity is 1/2 the initial plus final angular velocity over a given time period. A graphical analysis involves finding the area under an angular velocity-vs.-time or angular acceleration-vs.-time graph to get the change in angular displacement and velocity, respectively.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019/Book%3A_Physics_(Boundless)/10%3A_Rotational_Kinematics_Angular_Momentum_and_Energy/10.01%3A_Fixed-Axis_Rotation__Introduction/Rotation_with_Constant_Angular_AccelerationThe kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linear...The kinematics of rotational motion describes the relationships among rotation angle, angular velocity and acceleration, and time. For constant angular acceleration, the angular velocity varies linearly, so the average angular velocity is 1/2 the initial plus final angular velocity over a given time period. A graphical analysis involves finding the area under an angular velocity-vs.-time or angular acceleration-vs.-time graph to get the change in angular displacement and velocity, respectively.
