Please help with b in the practice it, and a and c in the exercise part. thanks!

Question

Please help with b in the practice it, and a and c in the exercise part. thanks! Use the worked example above to help you solve this problem. A wheel rotates with a constant angular acceleration of 3.35 rad/s2. Assume the angular speed of the wheel is 1.55 rad/s at ti = 0. (a) Through what angle does the wheel rotate between t = 0 and t = 2.00 s? Give your answer in radians and revolutions. 9.8 Correct: Your answer is correct. rad Correct: Your answer is correct. rev (b) What is the angular speed of the wheel at t = 2.00 s? Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s (c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 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 = 3.70 s. 35.1 Incorrect: Your answer is incorrect. 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 = 3.70 s. 13.94 Correct: Your answer is correct. rad/s (c) What is the magnitude of the angular speed three revolutions following t = 3.70 s? 31.2 Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s

Explanation / Answer

Example part : b) wf = wi + at = 1.55 + 3.35 x 2 = 8.25 rad /s c) (2wf)^2 - (wf)^2 = 2as or s = 3 x 8.25^2 / 2*3.35 = 30.47 rad = 4.85 revolutions Exercise : @ t = 3.70 sec, velocity = 8.25 + 3.35 x 1.70 = 13.945 rad /s 13.945^2 - 8.25^2 = 2 x 3.35 x s or, s = 18.86 rad = 3 revolutions slope represents anglular acceleration and area represents angle travelled b) 13.94 rad/s...as found above wf^2 = wi^2 + 2 a s = 13.945^ + 2 x 3.35 x 6 pi = 320.75.....so wf = 17.91 rad / s.

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