Question

Figure out A

Use the worked example above to help you solve this problem. A wheel rotates with a constant angular acceleration of 3.65 rad/s2. Assume the angular speed of the wheel is 2.15 rad/s at 4-0. (a) Through what angle does the wheel rotate between radians and revolutions. 11.6 1.85 0 and 2.00 s? Give your answer in rad rev (b) What is the angular speed of the wheel at 9.45 2.00 s? rad/s (c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 5.83 rev EXERCISIE HINTS: GETTING STARTED I IM STUCKI Use the values from PRACTICE IT to help you work this exercise. (a) Find the angle through which the wheel rotates between 2.00 s and 3.70 s. Sketch the angular speed of the wheel as a function of time. What is its initial value the slope represent? What does the area underneath it represent? rad ? What does (b) Find the angular speed when 15.50 3.70 s rad/s (e) What is the magnitude of the angular speed five revolutions following s - 3.70 s? 21.66 rad/s

Answer 1

angular velocity after 2 s

v2 = 2.15 + 3.65* 2 = 9.45 rad/s

now angular displacement in t = 3.7 - 2 = 1.7 s

x = v2 t + 0.5* a t^2

x = 9.45* 1.7 + 0.5* 3.65* 1.7^2

x = 21.34 rad

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