# Reaction Paper On Figure Skating

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If you’ve ever paid attention to a figure skating routine, you can easily see that a lot of it is make up of spins and jumps. But have you ever wondered why they will tuck or extend their arms while doing these tricks? There is much more behind it than just simple aesthetics, but also a lot of physics and math that goes into planning each routine. Of the different research topics, this one interested me the most, hence I decided to do my summer work based off of it. While I am not particularly a huge fan of figure skating itself, the question of why figure skaters will tuck or extend their body parts, for example, when spinning, is something I've wondered before but never actually looked into. After doing some research, I saw that the study…show more content…
Mathematically, the equation is written as H = Iw, where H is the amount of angular momentum, I is the moment of inertia, and w is the angular velocity. But in most cases, the human body isn't just composed of one single segment, in stead is made up of many. To find the angular momentum of the entire body, it can be approximated to be the sum of the angular momentum along each segment of the body added together. In order for angular momentum to be created, torque must be present. That is why before a spin happens, while the skater is still on the ice or in the air, the torque generated impacts the amount of angular momentum that will then be present. Newton's first law, states that "an object at rest will stay at rest, or an object in motion will stay in motion, unless acted on by an unbalanced force", or simply that Force = (mass)(acceleration). Since angular momentum is also found with virtually the same formula, it can be implied that the angular momentum that was initially created will remain the same unless acted upon by an outside force or torque. Due to this conservation of angular momentum, it really just means that the two components, an objects' velocity and moment of inertia, are inversely proportional. As one increases, the other must decrease in magnitude accordingly, in order to keep up the same momentum