Use the worked example above to help you solve this problem. A wheel rotates wit

Question

Use the worked example above to help you solve this problem. A wheel rotates with a constant angular acceleration of 3.75 rad/s^2. Assume the angular speed of the wheel is 1.95 rad/s at t_i, = 0. Through what angle does the wheel rotate between t = 0 and r= 2.00 s? Give your answer in radians and revolutions What is the angular speed of the wheel at t = 2.00 s? 9.45 ^ rad/s What angular displacement (In revolutions) results while the angular speed found in part (b) doubles? Your response differs from the correct answer by more than 10%. Double check your calculations.rev Use the values from PRACTICE IT to help you work this exercise. Find the angle through which the wheel rotates between t= 2.00 s and i = 3.60 s. 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 Find the angular speed when t = 3.60 s. Write a valid expression for the angular speed as a function of time and evaluate it at the appropriate time. rad/s What is the magnitude of the angular speed three revolutions following t = 3 60 s?

Explanation / Answer

Angular speed=d(theta)/dt =6pi/3.6 =5.24 rad/s

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