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正修學報

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篇名 雲霄飛車能量轉換之研究
卷期 26
並列篇名 The Study of Energy Transformation for Roller Coaster
作者 蔡政男何尉仲謝政廷
頁次 065-074
關鍵字 雲霄飛車拋體機械能守恆能量守恆摩擦Roller coasterProjectileConservation of mechanical energyConservation of energyFriction
出刊日期 201310

中文摘要

運動學是物理力學的基礎,而拋體是屬於運動學的平面運動,我們藉由研究雲霄飛車運動,探討機械能守恆與能量守恆之關係。我們成功分析雲霄飛車運動過程中,有摩擦能之消耗。由實驗結果可知要達到完全無摩擦力之機械能是不可能的。因儀器精準度之限制,無法成功求出拋體初速,我們成功利用球體軌跡與運動影片合成,進而求出拋體運動初速與角度,並進而驗證拋體之軌跡方程式,克服儀器的限制。

英文摘要

Kinematics is based on Physical mechanics. The study of projectile is to be part of kinematics in planar motion. By studying the roller coaster project, the relation between mechanical energy conservation and energy conservation was discussed. Our team successfully analyzed the movement of roller coaster, related to consumption of friction. As a result, conducting the experiment entirely without friction of the mechanical energy is impossible. Due to the inaccuracy of the instrument, it is hard to find out the initial velocity of projectile. Nevertheless, we have successfully demonstrated the initial velocity of projectile and angle of movement using synthetic ball trajectory and motion film, which verified, the projectile’s trajectory equation and overcomes the limitation of instrument.

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