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A flywheel turns through 34 rev as it slows from an angular speed of 7.2 rad/s to a stop. (a) Assuming a constant angular acceleration,
A flywheel turns through 34 rev as it slows from an angular speed of 7.2 rad/s to a stop. (a) Assuming a constant angular acceleration, find the time for it to come to rest. (b) What is its angular acceleration? (c) How much time is required for it to complete the first 17 of the 34 revolutions? (a) Number 59.69 Units S (b) Number -0.1207 Units rad/s^2 V (c) Number i ? Units S e Textbook and Media Assistance Used Hint Assistance Used You know the initial and final angular velocities and the angular displacement. So, which of the constant (angular) acceleration equations should you use to find the time?Key Ideas . I is the rotational inertia of the body, defined as for a system of discrete particles and defined as 1 = ] r2dm for a body with continuously distributed mass. The r and r, in these expressions represent the perpendicular distance from the axis of rotation to each mass element in the body, and the integration is carried out over the entire body so as to include every mass element. . The parallel-axis theorem relates the rotational inertia I of a body about any axis to that of the same body about a parallel axis through the center of mass: I = Icom + Mh. Here h is the perpendicular distance between the two axes, and Icom is the rotational inertia of the body about the axis through the com. We can describe h as being the distance the actual rotation axis has been shifted from the rotation axis through the com
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