10 Subscribers: 10 Exact 10s From Physics and Math (Real Simulations)

Thank you for 10 subscribers! To celebrate, ten experiments where the number 10 comes out exactly -- each one simulated or computed from the real equations, never animated by hand. Resonance with damping ratio 0.05 multiplies the swing by exactly 1/(2 x 0.05) = 10. Ten springs in parallel vs in series keep time at 10:1. The x11 times table on a circle has 11 - 1 = 10 cusps. A 10-row Galton board has 2^10 = 1,024 paths and Pascal's row 10 as its exact pile. Achilles at 10x the tortoise's speed is caught at 100 + 10 + 1 + ... = 111.1... m. The 10th harmonic of a 110 Hz string is 1,100 Hz with 9 nodes (with sound). 100 random steps end sqrt(100) = 10 steps away. 10 half-lives leave 10,240 / 1,024 = 10 atoms on average. A regular decagon's side and star side multiply to exactly 1 (golden ratio), and phi^10 + phi^-10 = 123. And a 10^10 mass ratio gives 314,159 collisions: pi. Chapters: 0:00 Thank you! 0:20 1. Push in rhythm: exactly 10x bigger 2:16 2. 10 springs, two ways: a 10 : 1 rhythm 3:35 3. The x11 times table draws 10 cusps 5:21 4. 10 rows of pegs, 1,024 paths 6:49 5. 10x faster: caught at exactly 111.1... m 8:09 6. The 10th harmonic: 9 still points, 10x the pitch 9:37 7. 100 random steps: 10 steps from home 11:18 8. 10 half-lives: 10,240 atoms 10 12:49 9. The decagon is made of golden ratios 14:16 10. Mass ratio 10^10: 314,159 collisions = pi 15:52 Thanks again Need a physics or math animation for your video or class? Custom orders: https://www.fiverr.com/s/yev0KBb #physics #math #simulation #science #education #oddlysatisfying