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Circular Motion: Centripetal force Chapter 8 Nov 5/6
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Objectives Develop examples of centripetal force Describe the motion of an object if the centripetal force acting on it ceases
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Read Circular Motion on page 123 Topic What is tangential speed? What is rotational speed? Facts The linear component of something moving in a circle. Number of circles something makes in a certain amount of time
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Difference between Tangential and Rotational speed Topic Tangential Speed Rotational speed Facts Depends on the circles radius – Larger radius = more speed – Smaller radius = less speed Does not depend on radius/distance Same no matter where on circle
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Study Figure 8.1 on page 123 Draw the figure below Explain the figure with rotational speed and tangential speed
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Check for Understanding Topic Which has a greater tangential (linear) speed travels faster on a merry-go-round, a horse on the outside or one near the center. Who will fall off the ride faster? Facts Outside horse (larger radius) The outside horse
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Check for Understanding Topic The tangential speed at the outer rim of a Ferris wheel is 10 m/s. What is the tangential speed of a position half way from the center to the outer rim? Facts 5m/s
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Check for Understanding Topic You sit at the outer rim of a Ferris wheel that rotates at 2 revolutions per minute (RPM). What would your rotational speed be if you were instead clinging to a position halfway from the center to the outer rim? Facts 2 RPM because rotational speed is not affected by radius/distance
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Recall Newton’s 1 st Law Topic Newton’s 1 st Law Facts Things in motion stay in motion, in a straight line and at a constant speed unless an outside force acts on it
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What makes objectives move in a circle? Topic Centripetal force Facts Means center-seeking Pulls toward center of circle Outside force that causes an object to follow a circular path Example: gravity pulls all of us to the center of the Earth Units are Newtons (N) Symbol is F c
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HONORS- What makes objectives move in a circle? Topic Centripetal force Facts Centripetal force= mass x centripetal acceleration F c = ma c or F c = mv 2 r because a c = v 2 r
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Teacher Demonstration Centripetal force and tangential speed Topic Why does the cup move in a circle? What will happen if I let the cup go? Facts Centripetal force pulls inward (from my hand) while tangential speed acts at each point resulting in the circle. The cup will fly in a straight line from the point the centripetal force stops
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Check for Understanding Topic What would happen i f the force of gravity suddenly stopped acting on the planets? Facts They would fly off tangent in space, rather than continue their orbit
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Closing Topic Why do objects move in a circle? Include the following terms in your explanation. Newton’s 1 st law Centripetal force Tangential speed Facts
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Homework Read Chapter 9- page 150-155 This material is difficult to understand, but write notes and questions This will be checked for a HW grade It will also help you understand the next lesson
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