Rotational Kinematics Lab--ZiTong Cheng
1. Use the velocity components to determine the direction of the velocity vector. Is it in the expected direction? The linear velocity for points at different radii (3 cm, 8 cm, and 15 cm) is 0.13 m/s, 0.23 m/s, and 0.42 m/s respectively. The direction of the linear velocity is tangent to the circular path, which is the expected behavior in rotational motion. From these values, the corresponding angular velocities are approximately: 4.33 rad/s at 3 cm 2.88 rad/s at 8 cm 2.80 rad/s at 15 cm 2. Analyze enough different points in the same video to make a graph of the speed of a point as a function of distance from the axis of rotation. What quantity does the slope of this graph represent? We created a graph showing how the speed of a point changes with distance from the axis of rotation, using the data: 3 cm → 0.13 m/s, 8 cm → 0.23 m/s, 15 cm → 0.42 m/s. The slope of this graph represents the angular velocity. Based on these points, the angular velocity is relatively consistent acros...