Garbage Golf (Physics)
For the physics portion of this project, the whole class got into groups of four or five to build mini-golf courses associated with physics concepts. My group consisted of Daisy Lefler, Noah Harris, and Robert Amador. My group decided to use centripetal force as our physics topic.
Centripetal force is a force applied perpendicular to the motion of an object over a period of time, causing the object to move in a curve path. Depending on the way centripetal force is applied, the path of the object may be a slight curve to a circle or other conic section. The Law of Inertia causes a centrifugal inertia force, which is equal and opposite to the centripetal force. Examples of applications of centripetal force include swinging a ball on a string, the motion of the Moon around the Earth and a car going around a curve, and of course, our golf course. There is an equation of centripetal force as a function of the mass and velocity of an object and its radius of curvature.
Uniform circular motion can be described as the motion of an object in a circle at a constant speed. As an object moves in a circle, it is constantly changing its direction. Because of this direction change, you can be certain that an object undergoing circular motion is accelerating (even if it is moving at constant speed). And in accord with Newton's laws of motion, an accelerating object must be acted upon by an unbalanced force. This unbalanced force is in the same direction as the direction of the acceleration. For objects in uniform circular motion, the net force and subsequent acceleration is directed inwards. Circular motion requires a net inward or "centripetal" force. Without a net centripetal force, an object cannot travel in circular motion. In fact, if the forces are balanced, then an object in motion continues in motion in a straight line at constant speed. This can be demonstrated by carrying a tennis ball upon a flat, level board. Once the tennis ball and the board are in motion, they will continue in motion in the same direction at the same speed unless acted upon by an unbalanced force. This demonstrates Newton's first law of motion. But if an unbalanced force is applied to the flat board, then the flat board will accelerate. If the force is continually directed towards a point at the center of the circle, then the flat board will round the corner in a circular-like path. The ball on the other hand will continue to move in the same direction since there is no unbalanced force acting upon it. The board will move out from under the tennis ball. Now, if a block is secured to the board in such a manner that the block applies an unbalanced force to the ball that is directed towards the center of the circle, then quite another phenomenon will be observed. With the block providing a normal force directed inward, the ball can round the corner in a circular-like path. The block supplies the centripetal force required for circular motion. With the centripetal motion requirement met, uniform circular motion can occur.
Centripetal force is a force applied perpendicular to the motion of an object over a period of time, causing the object to move in a curve path. Depending on the way centripetal force is applied, the path of the object may be a slight curve to a circle or other conic section. The Law of Inertia causes a centrifugal inertia force, which is equal and opposite to the centripetal force. Examples of applications of centripetal force include swinging a ball on a string, the motion of the Moon around the Earth and a car going around a curve, and of course, our golf course. There is an equation of centripetal force as a function of the mass and velocity of an object and its radius of curvature.
Uniform circular motion can be described as the motion of an object in a circle at a constant speed. As an object moves in a circle, it is constantly changing its direction. Because of this direction change, you can be certain that an object undergoing circular motion is accelerating (even if it is moving at constant speed). And in accord with Newton's laws of motion, an accelerating object must be acted upon by an unbalanced force. This unbalanced force is in the same direction as the direction of the acceleration. For objects in uniform circular motion, the net force and subsequent acceleration is directed inwards. Circular motion requires a net inward or "centripetal" force. Without a net centripetal force, an object cannot travel in circular motion. In fact, if the forces are balanced, then an object in motion continues in motion in a straight line at constant speed. This can be demonstrated by carrying a tennis ball upon a flat, level board. Once the tennis ball and the board are in motion, they will continue in motion in the same direction at the same speed unless acted upon by an unbalanced force. This demonstrates Newton's first law of motion. But if an unbalanced force is applied to the flat board, then the flat board will accelerate. If the force is continually directed towards a point at the center of the circle, then the flat board will round the corner in a circular-like path. The ball on the other hand will continue to move in the same direction since there is no unbalanced force acting upon it. The board will move out from under the tennis ball. Now, if a block is secured to the board in such a manner that the block applies an unbalanced force to the ball that is directed towards the center of the circle, then quite another phenomenon will be observed. With the block providing a normal force directed inward, the ball can round the corner in a circular-like path. The block supplies the centripetal force required for circular motion. With the centripetal motion requirement met, uniform circular motion can occur.
For my golf course, my group decided to use a variation of the picture shown to the left. The golf ball acted as the green ball, going around the center point of the golf course. The center point, was shown to act as the constant speed that the ball is moving. The bending of the wood had a certain curve to is, making a slight chance to get a hole in one.