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Uniform Circular Motion • "Uniform circular motion" means that a body is changing directions at a constant rate (that is, at a constant speed). It is not speeding up or slowing down. •Question for discussion #1: Is an object experiencing uniform circular motion accelerating? Why or why not? Uniform Circular Motion Acceleration •Recall that an object is accelerating, it is either speeding up, slowing down, or changing direction. So an object moving in a circle with a constant speed is undergoing an acceleration. •Question for discussion #2: What causes an object to accelerate, according to Newton’s First and Second Laws? According to Newton’s First and Second Laws, accelerations are caused by unbalanced forces. Question for discussion #3: What type of force causes objects to move in a circle? According to Newton’s First and Second Laws, accelerations are caused by unbalanced forces. Question for discussion #3: What type of force causes objects to move in a circle? Answer: Centripetal Forces! ce in the same direction as the motion causes the object to speed up. A force ctly opposite the direction of motion makes the object slow down. A force pendicular to the direction of motion causes the object to change its path m a line to a circle, without changing speed. Centripetal Force •centripetal means ntripetal force is always directed toward the ter of “center-seeking” the circle in which an object moves. agine tying a ball to the end of a string and rling itdefined: in a circle over yourforce head. The string any that rts the centripetal force on the ball to move it in causes object to your ircle. The directionan of the pull is toward d at the center ofathe circle. Notice that the follow circular path ection of the centripetal force changes as the ect moves around you. If the ball is on your centripetal forces, ht, you pull to the left and vice versa. therefore, can be any ntripetal forces change direction so they remain of the forces we have nted toward the center of the circle. • • so far discussed! (Gravity, tension, friction, etc.) UNIT What is the relationship bet ween the centripetal force and the object’s velocity? centripetal force if its action causes , a car can move in a circle because e lack of friction on an icy road is ! Describe the relationship between gravitational force, mass, and distance ! Relate centripetal force to orbital motion Force depends on direction erate by changing its speed or by ection of the force (Figure 6.15). A the force (and auses theWhen object to speed up. A force akes thethus object acceleration) slow down. A force is causes the object to change its path peed. in the same direction • ward theas the velocity, the moves.object is speeding up ring and he string move it in ard yourWhen the force (and thus acceleration) is that the s as thein the opposite direction as the velocity, on yourthe object is slowing down e versa. • a car can move in a circle because lack of friction on an icy road is between gravitational force, mass, and distance ! Relate centripetal force to orbital motion Force depends on direction ate by changing its speed or by ction of the force (Figure 6.15). A uses the object to speed up. A force kes the object slow down. A force auses the object to change its path ed. • ard the moves. ng and e string ove it in rd your hat the as the on your versa. When the force (and thus acceleration) is perpendicular to the velocity, the object is moving in a circle Question for Discussion: What would happen if the centripetal force was removed? If the ball is released at this point, towards which point will the ball travel? Why? If you remove the force, the object will move off in a straight line path, with a constant speed, tangent to the circle from the point of release. Recall Newton’s first law! Anatomy of a Circle...MEMORIZE! Velocity is TANGENT to the circle. Force and Acceleration point towards the center (centripetal)!