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Suppose the wheel slows down uniformly, so that
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- Lara is running just outside the circumference of a carousel, looking for her favorite horse to ride, with a constant angular speed of 1.00 rad/s. Just as she spots the horse, one-fourth of the circumference ahead of her, the carousel begins to move, accelerating from rest at 0.050 rad/s2. a. Taking the time when the carousel begins to move as t = 0, when will Lara catch up to the horse? b. Lara mistakenly passes the horse and keeps running at constant angular speed. If the carousel continues to accelerate at the same rate, when will the horse draw even with Lara again?arrow_forwardA particle moves 3.0 m along a circle of radius 1.5 m. (a) Through what angle does it rotate? (b) If the particle makes this trip in 1.0 s at a constant speed, what is its angular velocity? (c) What is its acceleration?arrow_forwardAn flywheel has an initial angular velocity of 10.1 Rad/s in the clockwise direction. If the flywheel undergoes uniform angular acceleration of +4.28 rad/s2 for 6.04 seconds, what is the angular velocity (magnitude and direction) after the period of acceleration? A. 15.8 rad/s (counterclockwise) B. 21.5 rad/s (clockwise) C. 33.6 rad/s (counterclockwise) D. 40.5 rad/s (clockwise) what is the angular displacement ∆θ (magnitude and direction) during the period of angular acceleration? A. 17.1 rad (clockwise)B. 17.1 rad (counterclockwise) C. 32.4 rad (clockwise)D. 32.4 rad (counterclockwise)arrow_forward
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