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Mathematics An interesting application of trigonometric function is the ride on a Ferris wheel. The motion of the Ferris wheel is periodic and allows passengers a spectacular view when it reaches the highest point. Suppose the wheel has 12 seats equally spaced along its perimeter, the radius is equal to 10 meters and the lowest point of the wheel is a foot of soil. We must consider that the wheel takes approximately 36 seconds to make a full turn at a constant speed. See the following figure. Through the above figure which represents a wheel with their seats, we explore two learning situations: a) it is possible to approach this Ferris wheel speeds that can acquire when it is performing uniform circular motion, and b) the other is exploring movements ferris wheel and find the variation of the position of the space that the person occupies during the circular path developed by Ferris wheel on the ground. Let's get to work!! What is the characteristic of the movement of the ferris wheel? This motion is called uniform circular motion. Let us know the uniform circular motion? It is a movement that traverses a circle with constant speed. In order to understand, we take as an example the material point P that moves on the circle of radius After a time T passes again through P, which is repeated in time 2T, 3T, 4T, etc.. Turning the wheel
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Matematika Zanimljivo primjena trigonometrijske funkcije je vožnja na Ferris kotač. Gibanje Ferris kotač se periodično, a omogućuje putnicima spektakularan pogled kad dosegne najvišu točku. Pretpostavimo kotača ima 12 mjesta ravnomjerno raspoređena duž perimetru, radijus je jednaka 10 metara, a najniža točka na kotaču je noga tla. Moramo uzeti u obzir da se kotač traje otprilike 36 sekundi da bi potpuni zaokret u konstantnom brzinom. Pogledajte sljedeću sliku. Kroz gornjoj slici koja predstavlja kotač sa svojih sjedala, istražujemo dvije situacije učenja:) moguće je pristupiti ovom Ferris kotač brzine koji se može steći kada je obavljanje uniformu kružnim pokretima, i b) drugi je upoznavanje pokrete Ferris kotač i naći varijacije u položaju u prostoru koji zauzima osoba tijekom kružnim stazama razvio Ferris kotača na tlo. Idemo na posao! Ono što je karakteristika kretanju Ferris kotač? Ovo gibanje se zove jedinstveni kružnim pokretima. Javite nam jedinstvenu kružnim pokretima? To je pokret koji prolazi krug s konstantnom brzinom. Da bi se razumjelo, uzmemo kao primjer P materijalnu točku koja se kreće po krugu polumjera Nakon Vrijeme prolazi T opet kroz P, koji se ponavlja u vrijeme 2T, 3T, 4T, itd.. Okretanje kotača