Assignment:
1. Herman Bax of Canada grew a pumpkin with a circumference of 7 m. Suppose an ant crawled around the pumpkin's "equator." The ant started with an angular speed of 3.2 a -3 rad/s and accelerated steadily at a rate of 6.0 s -4 rad/s2 until its angular speed was tripled. What was the ant's angular displacement?
2. Tal Burt of Israel rode a bicycle around the world in 77 days. If Burt could have ridden along the equator, his average angular speed would have been 9.0 a -7 rad/s. Now consider an object moving with this angular speed. How long would it take the object to reach an angular speed of 5.0 a -6 rad/s if its angular acceleration was 7.5 a -10 rad/s2?
3. A coal-burning power plant in Kazakhstan has a chimney that is nearly 500 m tall. The radius of this chimney is 7.1 m at the base. Suppose a factory worker takes a 500.0 m run around the base of the chimney. If the worker starts with an angular speed of 0.40 rad/s and has an angular acceleration of 4.0 • 10- 3 rad/s2, how long will the run take?