Sizes of a Soccer Ball
Soccer Balls come in many different sizes. They also have different weight to all of them, but all soccer balls have one thing in common they all have air in them which allows the ball to be tough or soft. In the beginning it will fly exactly in the direction of the kick, as it slows down due to the friction of the air. The spinning motion will cause the air on one side to move faster than the other side. Soccer players call this effect curving.
Soccer players call this effect “curving” and it is caused by the error dynamic forces on the ball. This is all that is necessary to create a lift to turn a floor of air. As the force acts on the ball, it is deflected along its flight path. If we neglect viscous forces on the ball, which slows it down and change the magnitude and direction of the force. The radius of the curvature of the flight path depends on the velocity of the kick and the acceleration produce by the side force.
We can use this equation to make some predictions about the trajectory of a spinning ball. Higher spin s produces a smaller radius of curvature and a sharp curve. Higher velocity produces a larger radius of curvature and a straighter curve. A ball with a smaller mass, like a ping pong ball has a lower radius curvature and curves more. At higher altitudes, the density R is lower producing a larger radius of curvature and a straight path.
The altitude effect helps to explain some of the complaints at some soccer matches, such as the 2010 World Cup. The games were played at ten different stadiums, some at sea level and some high mountains. It is much harder to bend and kick at high altitude. One of the most exciting plays of the in the game is the freekick. Players are often able to curve the flight of the ball into the net by imparting a spin to the ball.
Knowing the radius of curvature and the distance of the kick we can also calculate the distance that the ball is deflected along the flight path. There is a right triangle form by the radius curvature, the distance at the top, and the radius and the curvature minus the deflection distance on the right. All that is necessary to create lift is to turn the flow of the air. The airfoil a wind turns the flow but so does a spinning ball. The details of how the force is generated is complex, but the magnitude of the force depends on the radius of the ball.