{"id":278,"date":"2024-07-30T16:42:40","date_gmt":"2024-07-30T13:42:40","guid":{"rendered":"https:\/\/www.lbscience.org\/en\/2025\/06\/02\/the-science-behind-the-bow-and-arrow\/"},"modified":"2025-11-12T04:49:31","modified_gmt":"2025-11-12T02:49:31","slug":"the-science-behind-archery","status":"publish","type":"post","link":"https:\/\/www.lbscience.org\/en\/2024\/07\/30\/the-science-behind-archery\/","title":{"rendered":"The Science Behind Archery"},"content":{"rendered":"
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Michaela Moshe. Source: The Olympic Committee of Israel<\/p><\/div>\n

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Roy Dror. Source: The Olympic Committee of Israel<\/p><\/div>\n

Throughout history, the bow and arrow have been widely used as weapons for accurately hitting distant targets. The exact time of the bow\u2019s invention is unknown. However, findings discovered in Sibudu Cave in South Africa suggest that bows and arrows were used as early as 70,000 years ago [1].\u00a0 Initially used for long-range hunting, bows and arrows were later employed as weapons by English longbowmen, the Mongolian archers who shot from horseback (allowing rapid attack and mobility), Japanese samurai, and many others.<\/p>\n

However, since this post is not about history, let\u2019s consider the scientific aspect.
\nWhen the archer pulls the bowstring, potential energy is stored in the limbs of the bow [2]. This is analogous to compressing a spring [3]. The string and bow then transfer this energy to the arrow. See the formulas at the end of the post.<\/p>\n

Once released, the arrow behaves like a bullet fired from a gun. If we neglect drag and significant aerodynamic effects, they both the bullet and the arrow follow a ballistic trajectory. Ballistics is the field that studies the motion of bodies with an initial velocity that move under the influence of a constant force not aligned with that initial velocity.<\/p>\n

What is the best angle at which to aim an arrow in order to achieve the greatest range? There is no single answer, so archers learn to adjust both angle and the force of each shot according to the conditions. In ideal conditions with no air resistance or other disturbances, the angle for maximum range is 45 degrees. However, in reality the angle is different because the speed and path of the arrow are affected by various factors such as initial launch velocity, gravity, and even weather conditions.<\/p>\n

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In addition to shooting technique, proper arrow design and material selection are crucial. First, the arrow must be made of a flexible material that can temporarily deform during energy transfer. In the past, arrows were primarily made of wood, typically beech or cedar. Nowadays, arrows are manufactured from aluminum, carbon fiber, or a combination of both. Training arrows and beginner arrows are generally made of fiberglass. These arrows are durable and relatively inexpensive, but less accurate and heavier than aluminum or carbon-fiber arrows. Choosing the right material requires a delicate balance: an arrow that is too stiff will break, whereas one that is too flexible may deform excessively during flight, resulting in energy loss and reduced accuracy.<\/p>\n

Although we perceive the arrow as moving in a straight line, scientifically it actually \u201cwiggles\u201d on its way to the target (see video). Therefore, an arrow must be designed and built to be flexible enough to withstand these deformations while still travelling in a straight line to the intended point of impact.<\/p>\n