That’s just the tip of the iceberg in regards to the physics of juggling. We plug in these values and solve for d, finding the distance up the ball travels, the height of the ball’s arc. If the ball was falling down, the acceleration due to gravity would be positive and it would speed up an additional 9.81 meters per second for every second it fell.). The acceleration due to gravity is -9.81 m/s2, a universal constant (For every second the ball travels up, it slows down 9.81 meters per second. When the ball reaches the top of the arc, its vertical velocity is zero it is only moving horizontally. The reason that this value is zero is because when we are analyzing the distance the ball travels, we only have to look at half of its total flight (the ball goes the same distance up as it does down). The initial velocity is the ball’s initial vertical velocity, which we already discussed. To determine the height that the ball goes, we can use the formula: Because we are looking at height, we are only using the vertical velocity. The initial velocity the ball is thrown at is a combination of both the ball’s velocity in the horizontal plane and the vertical plane, and each can be determined using trigonometry. In order to determine the height at which the ball will travel, we need to look at just the vertical plane. When the ball is thrown, it is thrown at an angle, traveling in both the vertical and horizontal planes. While the proportion will always remain constant, the controlling factors of the d, f, and e values are the velocity at which the ball is thrown at and the height to which it is thrown, which are related. The other three values are all different depending on the speed of the cascade and the heights to which the balls are thrown, but they proportional the entire time. That is why in the scenario stated earlier, the two juggling patterns are related because they both have the same b and h values. He developed a theorem which states:ĭ=dwell time the amount of time a ball spends in the hand in between catch and throwį=flight time the amount of time a ball spends in the airĮ=empty time the amount of time a balls spends empty without any ball in it He investigated relationships in juggling patterns, which he wrote about in his 1993 paper, Scientific Aspects of Juggling.
An extremely respected figure in the science community and crusader of the Digital Age, Shannon was also a juggler.
Let’s take a closer look at why this phenomenon is true.Ĭlaude Elwood Shannon was an American mathematician and engineer from the twentieth century. Even though the only things that are the same between these two patterns are the number of balls and the number of hands throwing the balls, the patterns are the same…mathematically speaking.
#CIRKUS ARENA 2015 PROFESSIONAL#
But there’s a difference between the way your friend and the professional are throwing the balls the professional’s throws are evenly spaced, while your friend’s are sporadic and often thrown way higher than necessary. You go to the circus and see a professional juggler, and they also perform a three-ball cascade. They can keep up a standard three-ball cascade for a few throws, but the throws are all over the place. Everybody knows at least one person who can juggle they learned it as a party trick or at summer camp when they were a kid. It does not store any personal data.We’re back with another installment of Circus Science! This time we are talking about juggling. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. The cookie is used to store the user consent for the cookies in the category "Performance". This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other. The cookies is used to store the user consent for the cookies in the category "Necessary". The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The cookie is used to store the user consent for the cookies in the category "Analytics". These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly.
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