Show work for each problem. Follow the instructions for each problem.

CW - Periodic Motion Practice Problems For all problems you must SHOW ALL WORK. 1. A medical imaging device produces ultrasound by oscillating with a period of 0.400 ps (1 ps = 10-6s). What is the frequency of this oscillation? 2. The frequency of middle C on a typical musical instrument is 264 Hz. What is the time for one complete oscillation? 3. The time it takes for a simple pendulum to make a complete swing is 2.4 seconds: a. What is the frequency of the pendulum? b. What is the length of the pendulum? 4. The Viking amusement park ride swings riders back and forth in a periodic motion. During the ride it is observed to complete 8 complete swings in 26 seconds: a. What is the period and frequency of this ride? b. If the ride travels a distance of 28 meters for one complete swing, what is the amplitude of the ride? Explain how you determined the amplitude. 5. The human heart on average beats 72 times a minute: a. What is the frequency? b. What is the period? 6. What is the period of a pendulum that has a mass of 25 grams and a length of 2.5 meters? 7. A pair of trapeze performers at the circus are swinging from a rope attached to a large, elevated platform. Suppose that the performers can be treated as a simple pendulum and the period of the performers is 8 seconds, what is the length of the rope? 8. Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation to truthfully report the mass). a. What is the spring force constant of the spring in such a scale if it the spring stretches 8.00 cm for a 10.0 kg load? b. What is the mass of a fish that stretches the spring 5.50 cm? 9. A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What spring force constant is needed to produce a period of 0.500 s for a 15g mass? 10. A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.00 s? Answer Key 1) 2.5x10 s 2) 3.79x10-3s (3.79 ms) 3)a.042Hz b.143m 4)a.3.25s, 0.31Hz b.14m 5)a.l.2Hz b.0.83s 6)3.17s 7)159m 8)a.1225N/m b. 6.88 kg 9) 237 N/m 10) 0.389 kg