Game Theory: Could Tails Really Fly? (Sonic the Hedgehog) - Summary

Summary

The video discusses the physics behind Miles "Tails" Prower's ability to fly using his two tails in the Sonic the Hedgehog franchise. The host, MatPat, uses helicopter physics to calculate whether Tails could generate enough lift to fly. He assumes that Tails has a magic pivot in his butt to allow his tails to spin freely and that he can function in Earth's atmosphere.

Using Tails' canonical weight of 20 kilograms, the host calculates that he would need to generate 196.2 Newtons of force to hover. He then uses the equation for lift, taking into account the area of Tails' tails, the density of air, and the coefficient of lift.

The calculations show that Tails would need to spin his tails at 337 miles per hour (classic Tails) or 240.5 miles per hour (modern Tails) to generate enough lift to hover. However, the host notes that this would require Tails to spin his body in the opposite direction, which would be impossible without a counter-rotating tail rotor.

The video concludes that while Tails' tails could generate enough lift to fly, he would have no control over his directionality due to the lack of a tail rotor. The host humorously suggests that Tails would need another set of tails to fly stably.

Facts

Here are the key facts extracted from the text:

1. Miles "Tails" Prower is supposed to be an unmatched engineering genius with an IQ of 300.
2. Tails is a skilled mechanic and can do anything except fly.
3. Tails has two tails that he uses to form a single-rotor system to hover off the ground and propel himself forward.
4. Tails's weight is 20 kilograms, according to Sega.
5. Foxes usually top out at about 14 kilograms or about 30 pounds, whereas Tails is 20 kilograms or over 44 pounds.
6. The length and width of each of Tails's tails are equivalent to his canon height of 0.8 meters and 0.26 meters, respectively.
7. The measurements of Tails's tails are not the same for all Sonic games.
8. Tails's tails would become tangled if he tried to spin them all the time.
9. The math behind helicopter physics is complicated and involves the equation for lift.
10. The equation for lift is: Lift = 1/2 * ρ * V^2 * Cl * A, where ρ is the density of air, V is the velocity of the blade, Cl is the coefficient of lift, and A is the area of the wing.
11. The density of air at sea level is a constant 1.225.
12. The coefficient of lift is difficult to calculate and is estimated to be 0.2 for Tails.
13. Tails would need to generate 196.2 Newtons of force to enter a stable hover.
14. The math suggests that Tails's tails would need to spin at 337 miles per hour for classic Tails and 240.5 miles per hour for modern Tails to hover off the ground.
15. The rotations per minute (RPM) of Tails's tails would be 1343.4 RPM for classic Tails and 1000 RPM for modern Tails.
16. Helicopters have two rotors, including a tail rotor, to counteract the forces that make the helicopter want to spin out of control.
17. Without a tail rotor, a helicopter is completely unflyable.
18. Drones have an even number of rotors that spin in opposite directions for greater control and stability.
19. Tails would need a tail rotor assembly to wear while he flew to have control over his directionality.
20. The Google Pixel 3 phone has a camera with motion autofocus that can track a subject while it's moving.
21. The Pixel 3's camera can capture 15 separate frames and recognize which one is the best.
22. The Pixel 3 has unlimited storage of photos with Google Photos, which uploads them to the cloud automatically when connected to Wi-Fi.
23. The Pixel 3 has a super-fast fingerprint sensor on the back that unlocks the phone before the user sees the screen.