PRACTICE IT Use the worked example above to help you solve this problem. A wheel rotates with a constant angular acceleration of 3.75 rad/s . Assume the angular speed of the wheel is 1.55 rad/s at t, = 0. (a) Through what angle does the wheel rotate between t = 0 and t = 2.00 s? Give your answer in radians and revolutions. 10.6 rad 1.68704 rev (b) What is the angular speed of the wheel at t = 2.00 s? 9.05 rad/s (c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 6.90112 X Your response differs from the correct answer by more than 10%. Double check your calculations. rev EXERCISE HINTS: GETTING STARTED | I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. (a) Find the angle through which the wheel rotates between t = 2.00 s and t = 3.60 s. 1.1631 X Sketch the angular speed of the wheel as a function of time. What is its initial value? What does the slope represent? What does the area underneath it represent? rad (b) Find the angular speed when t = 3.60 s. rad/s (c) What is the magnitude of the angular speed five revolutions following t = 3.60 s? rad/s