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Centrifugal and Centripetal Force. Centripetal versus centrifugal force Centripetal is an inward seeking force while centrifugal force is an outward pulling.

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Presentation on theme: "Centrifugal and Centripetal Force. Centripetal versus centrifugal force Centripetal is an inward seeking force while centrifugal force is an outward pulling."— Presentation transcript:

1 Centrifugal and Centripetal Force

2 Centripetal versus centrifugal force Centripetal is an inward seeking force while centrifugal force is an outward pulling force. Centripetal is an inward seeking force while centrifugal force is an outward pulling force. The ground exerts centripetal force on a runner (via the foot) or cyclist (via the wheel) when they lean into a curve. The ground exerts centripetal force on a runner (via the foot) or cyclist (via the wheel) when they lean into a curve. The amount of centripetal force necessary to prevent a runner from toppling outward (outward pulling force, centrifugal) is directly related to the mass and velocity of the runner. The amount of centripetal force necessary to prevent a runner from toppling outward (outward pulling force, centrifugal) is directly related to the mass and velocity of the runner.

3 The centrifugal force is producing an opposite pull to centripetal force. The centrifugal force is producing an opposite pull to centripetal force. In the case of both the runner and cyclist, the axis of rotation is either the foot or the bicycle wheel. In the case of both the runner and cyclist, the axis of rotation is either the foot or the bicycle wheel.

4 A hammer thrower exerts an inward directed force (centripetal) on the hammer via the wire. A hammer thrower exerts an inward directed force (centripetal) on the hammer via the wire. In addition, an outward-pulling force (centrifugal) is exerted by the hammer on the thrower. In addition, an outward-pulling force (centrifugal) is exerted by the hammer on the thrower. Centripetal force is also important in swinging moves in gymnastics, discuss throwing, or any rotatory activities. Centripetal force is also important in swinging moves in gymnastics, discuss throwing, or any rotatory activities. Once an implement (i.e., discuss, hammer) is released, its inertia will allow it to follow a linear path. Once an implement (i.e., discuss, hammer) is released, its inertia will allow it to follow a linear path.

5 Remember, centripetal and centrifugal force are exerted whenever a body moves on a curved path. Remember, centripetal and centrifugal force are exerted whenever a body moves on a curved path. Because centripetal and centrifugal forces act opposite each other and possess the same magnitude, the equation is same for both. Because centripetal and centrifugal forces act opposite each other and possess the same magnitude, the equation is same for both.

6 According to the Newton’s first law of motion a moving body if left alone travels uniformly in a straight line. According to the Newton’s first law of motion a moving body if left alone travels uniformly in a straight line. To make the body to leave the straight path requires force. To make the body to leave the straight path requires force. When an objects swings around and at the end of a piece of a string it moves in a circular path. When an objects swings around and at the end of a piece of a string it moves in a circular path.

7 The force causing the object to move in a circular path and change its direction continuously is called centripetal force. The force causing the object to move in a circular path and change its direction continuously is called centripetal force. It is a constant force acting to move the object at right angles to the direction it is moving at any instant and therefore causing it to move in a circular path. It is a constant force acting to move the object at right angles to the direction it is moving at any instant and therefore causing it to move in a circular path. Even though the velocity of the constant object is constant its direction changes continuously. Even though the velocity of the constant object is constant its direction changes continuously.

8 This means that acceleration is occurring. This means that acceleration is occurring. Since by definition the acceleration is rate of change in velocity, the acceleration occurring as an objects moves around a circle at a constant speed is of the magnitude v 2 /r Since by definition the acceleration is rate of change in velocity, the acceleration occurring as an objects moves around a circle at a constant speed is of the magnitude v 2 /rWhere: v = linear velocity of object r = radius of rotation

9 From Newton’s second law we know that From Newton’s second law we know that F= ma Therefore F= ma Therefore Centripetal or centrifugal Force (F C ) Centripetal or centrifugal Force (F C ) F C = mv²/r Where, F C = mv²/r Where, m = mass of object v = velocity of object squared r = distance of object’s center of m = mass of object v = velocity of object squared r = distance of object’s center of gravity from axis of rotation gravity from axis of rotation

10 The centripetal force has to be applied to the object moving in a circular path by another object. The centripetal force has to be applied to the object moving in a circular path by another object. Newton’s third law states that the second object which applies the force must be acted on by an equal and opposite force. Newton’s third law states that the second object which applies the force must be acted on by an equal and opposite force. In the case of the object on a string, the fingers applies the force to the object through string. In the case of the object on a string, the fingers applies the force to the object through string.

11 The finger in contrast also feels a pulling force on it and this force is called centrifugal force. The finger in contrast also feels a pulling force on it and this force is called centrifugal force. If centripetal force ceases, there is no longer an inward pull on the object and then the object flies off on a tangent to the direction in which it was moving at the instant force was stoped. If centripetal force ceases, there is no longer an inward pull on the object and then the object flies off on a tangent to the direction in which it was moving at the instant force was stoped. Without centripetal force there will be no centrifugal force and the object will now move in a straight line. Without centripetal force there will be no centrifugal force and the object will now move in a straight line.

12 How to Develop Required Amount of Centripetal Force By acquiring an inward lean. By acquiring an inward lean. By providing artificial lean. By providing artificial lean. By pulling towards center of rotation. By pulling towards center of rotation. By reducing radius radius of rotation. By reducing radius radius of rotation. By providing sufficient amount of friction. By providing sufficient amount of friction.


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