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UCM

UCM. UNIFORM CIRCULAR MOTION UCM (Y12). CIRCULAR MOTION CM (Y13) ??. - v 1. v 2. r 2. D r. D v. r 1. Equation Theory. Similar Triangles. v 2. D t. Dq. Dq. v 1. Divide by time. Centripetal Acceleration. Centripetal force keeps an object in circular motion.

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UCM

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  1. UCM

  2. UNIFORM CIRCULAR MOTION UCM (Y12) CIRCULAR MOTION CM (Y13) ??

  3. -v1 v2 r2 Dr Dv r1 Equation Theory Similar Triangles v2 Dt Dq Dq v1 Divide by time Centripetal Acceleration

  4. Centripetal force keeps an object in circular motion. • Centripetal forces can be exerted in a variety of ways. • The “string” that holds the moon on its almost circular path, for example, is gravity. • Electrical forces provide the centripetal force acting between an orbiting electron and the atomic nucleus in an atom. • Anything that moves in a circular path is acted on by a centripetal force.

  5. Which way do they feel pulled when the car speeds up? a Which way do they feel pulled when the car slows down? a What about when the car goes around a corner?? a An object in uniform circular motion has centripetal acceleration (ac): *the direction of the acceleration is toward the center of the circle *Remember, you can feel acceleration: Web Links: Right hand turn, Car on track

  6. The clothes in a washing machine are forced into a circular path, but the water is not, and it flies off tangentially.

  7. Ex: Ball on a string If the ball’s mass is 2.0 kg, its speed is 3.0 m/s, and the radius of the circle is 1.0 m, find a) the ball’s acceleration b) the tension in the string

  8. Problems: • Convert 10 rpm (rev/min) into m/s for a horizontal circle of 50 cm radius. • A moving ball is spun in a circle with a diameter of 1 m at a speed of 3 m/s. What is its centripetal acceleration?

  9. A 250 g mass is spun in a horizontal circle. It is held at the end of a 1 m length of string. If it is spun at 15 m/s, what force is applied? • A ball weighing 5 N is attached to a 1 m string and swung in a horizontal circle above one's head at a frequency of 5 Hz. What centripetal force is required?

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