Final answer:
A baseball bat has a uniform angular velocity but varying tangential speeds at different points on the bat, with points farther from the axis moving faster. When a blender's blades speed up, the angular acceleration direction is the same as the blades' rotation.
Step-by-step explanation:
When a baseball bat is swung, all points on the bat indeed have the same angular velocity, but they do not have the same tangential speed. The angular velocity (ω) is uniform because every point on the bat rotates through the same angle in the same amount of time. However, tangential speed (ut) varies with the radius from the axis of rotation, so points farther away from the axis move at higher speeds than those closer to it, as described by the relationship ut = rω.
In terms of the direction of angular acceleration when a blender's speed is increased, it would be in the direction of the angular velocity change, which is clockwise when looking from the top if the blades were originally rotating clockwise.