Independent/Group Work November 15th 2018 Name: Linear and Angular Speed Practice 1. You are in Six Flags on a ferris wheel with your reckless friend Marcus. The radius of the ferris wheel is 15 meters. The ferris wheel rotates at a rate of 6 rotations per minute. Marcus decides it would be a fun idea to climb out of his seat and closer to the center of the ferris wheel. He invites you to join him but you can’t because it is not a safe and secure space. He climbs 4 meters down the beam towards the center of the ferris wheel. I. What are your linear speeds in terms of meters? II. Who will have the greater circular displacement after 5 minutes? (Hint: Which will have traveled the bigger distance? By how much? 2. A car with tires 50 cm in diameter travels 10 meters in 1 second. What is the angular speed? 3. The angular speed of a wheel with a radius of 20 cm is 120 rpm. What is the distance the car travels in 10 seconds. 4. A gear (G1) in the Fisher clock tower with a total radius of 3 meters moves in the counterclockwise direction, causing an interlocking gear (G2) with an outer radius of 7 meters to move clockwise at an angular speed of (W2) = 12 rotations/minute. I. What is the Angular Speed (W1) of the first gear ? II. How many rotations must the first gear make in order to have the clock make a full hours rotation? Assume the second gear has a direct relationship with the minute hand of the clock. 5. The blades of a ceiling fan are 26 inches long, but the fan’s entire diameter is 70 inches. It spins at a rate of 100 rpm. I. What is the linear speed of point A on the outer edge of the blade? Hint: r 35 II. What is the linear speed of point B on the inner edge of the blade? Hint: r 35-26 III. What is the linear speed of point C at the center of the fan? Hint: r 0