Tangential Velocity vs Centripetal Acceleration
A close-up 3D animation follows an object moving at constant speed around a circular path of radius r. A green arrow shows tangential velocity constantly changing direction while keeping the same length, while a red arrow shows centripetal acceleration always pointing toward the center. The visual clarifies why constant speed still means acceleration, and introduces the formula a_c = v^2/r = ω^2 r. Useful for high school students studying circular motion.
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The prompt that made it
Scene 2: Tangential Velocity vs. Centripetal AccelerationVisual Prompt: Close-up 3D animation of an object moving uniformly along a circular path of radius $r$. A green vector arrow labelled 'v' (Tangential Velocity) continuously changes direction while keeping constant length. A bright red vector arrow labelled '$a_c$' (Centripetal Acceleration) points directly toward the center $O$. Text / Voiceover: "In uniform circular motion, speed is constant, but velocity direction changes every millisecond. This creates inward centripetal acceleration: $$a_c = \frac{v^2}{r} = \omega^2 r$$ Audience: high school student
Make the next one in this series
- Show how centripetal force relates to mass, velocity, and radius with F = mv^2/r
- Compare uniform circular motion to non-uniform circular motion with tangential acceleration added
- Visualize angular velocity ω and its relationship to linear velocity v = ωr
