full transcript
From the Ted Talk "Arleen Sugano: The physics of the "hardest move" in ballet"

#### Unscramble the Blue Letters

The other option is for the dancer to bring her arms or leg in closer to her body once she returns to pointe. Why does this work? Like every other turn in ballet, the fouetté is dvoreegn by angular momentum, which is equal to the dancer's angular velocity times her rotational inertia. And except for what's lost to friction, that angular momentum has to stay constant while the dancer is on epnoit. That's called rsotcnnivaeo of angular momentum. Now, rotational inertia can be thuhotg of as a body's resistance to rotational motion. It increases when more ssam is distributed further from the axis of rotation, and decreases when the mass is distributed oclres to the axis of rotation. So as she brings her arms closer to her body, her rotational inertia sshrnki. In order to conserve angular momentum, her arunagl velocity, the speed of her turn, has to increase, olgniawl the same tuamno of stored nmmetomu to carry her through multiple turns. You've probably seen ice skaters do the same thing, spinning sfaret and faster by drawing in their arms and legs.

#### Open Cloze

The other option is for the dancer to bring her arms or leg in closer to her body once she returns to pointe. Why does this work? Like every other turn in ballet, the fouetté is ________ by angular momentum, which is equal to the dancer's angular velocity times her rotational inertia. And except for what's lost to friction, that angular momentum has to stay constant while the dancer is on ______. That's called ____________ of angular momentum. Now, rotational inertia can be _______ of as a body's resistance to rotational motion. It increases when more ____ is distributed further from the axis of rotation, and decreases when the mass is distributed ______ to the axis of rotation. So as she brings her arms closer to her body, her rotational inertia _______. In order to conserve angular momentum, her _______ velocity, the speed of her turn, has to increase, ________ the same ______ of stored ________ to carry her through multiple turns. You've probably seen ice skaters do the same thing, spinning ______ and faster by drawing in their arms and legs.

#### Solution

1. closer
2. faster
3. governed
4. thought
5. amount
6. conservation
7. mass
8. allowing
9. shrinks
10. angular
11. momentum
12. pointe

#### Original Text

The other option is for the dancer to bring her arms or leg in closer to her body once she returns to pointe. Why does this work? Like every other turn in ballet, the fouetté is governed by angular momentum, which is equal to the dancer's angular velocity times her rotational inertia. And except for what's lost to friction, that angular momentum has to stay constant while the dancer is on pointe. That's called conservation of angular momentum. Now, rotational inertia can be thought of as a body's resistance to rotational motion. It increases when more mass is distributed further from the axis of rotation, and decreases when the mass is distributed closer to the axis of rotation. So as she brings her arms closer to her body, her rotational inertia shrinks. In order to conserve angular momentum, her angular velocity, the speed of her turn, has to increase, allowing the same amount of stored momentum to carry her through multiple turns. You've probably seen ice skaters do the same thing, spinning faster and faster by drawing in their arms and legs.

#### ngrams of length 2

collocation frequency
angular momentum 5
rotational inertia 3

#### Important Words

1. allowing
2. amount
3. angular
4. arms
5. axis
6. ballet
7. body
8. bring
9. brings
10. called
11. carry
12. closer
13. conservation
14. conserve
15. constant
16. dancer
17. decreases
18. distributed
19. drawing
20. equal
21. faster
22. friction
23. governed
24. ice
25. increase
26. increases
27. inertia
28. leg
29. legs
30. lost
31. mass
32. momentum
33. motion
34. multiple
35. option
36. order
37. pointe
38. resistance
39. returns
40. rotation
41. rotational
42. shrinks
43. skaters
44. speed
45. spinning
46. stay
47. stored
48. thought
49. times
50. turn
51. turns
52. velocity
53. work