'm Circular Motion # 1 Period, Frequency, and Circular speed Use all standard units! Equations: C = 2ur T = time/# revolutions T = 1/f f= #revolutions/time f = 1/T cantismgot to puten v = 2arf v = 2ur/T a, = v2/r SHOW ALL WORK FOR THE FOLLOWING PROBLEMS 1. Marianne puts her favorite Smashing Pumpkins disc into her old CD player. It spins with a frequency of 1800 revolutions per minute. What is the Period of the spin of the compact disc? ( Answer with standard units) 2. Hamlet, a hamster, runs on his exercise wheel, which turns around once (1.00) every 0.50 seconds. What is the frequency of the wheel? 3. A sock stuck to the inside of the clothes dryer spins around the drum once (1.00) every 2.00 s at a distance of 0.500 m from the center of the drum. What is the sock's linear ( tangential speed) (b) If the drum were twice as wide but continued to turn with the same frequency, what would be the new speed of the sock? 4. What is the radius of an automobile tire that turns with a frequency of 11.0 Hz and has a linear speed of 20.0 m/s? 5. Luigi twirls a round piece of pizza dough overhead with a frequency of 60.0 rev/min. Find the linear speed of a stray piece of pepperoni stuck on the dough 10.0 cm from the pizza center. 6. Jessica is riding on a merry-go-round on an outer horse that sits at a distance of 8.00 m from the center of the ride. Her sister Heather, is on an inner horse located 6.00 m from the ride's center. The merry-go -round turns once every 40.0 seconds . Which girl is moving with a greater linear speed? (b) What is the centripetal acceleration (radial acceleration)of Heather and her horse?7. A cement mixer of radius 2.50 m turns with a frequency of 0.020 Hz. What is the centripetal acceleration of a small piece of dried cement stuck to the inside wall of the mixer? 8. To test their stamina, astronauts are subjected to many rigorous physical tests before they fly into space. One such test involves spinning the astronauts in a device called a centrifuge that subjects them to accelerations far greater than the acceleration due to gravity. What linear speed would an astronaut have to spin in order to experience an acceleration of 3g's at a radius of 10.0 m? [ 1 g = 9.8 m/s2] PROW BAR WORE S