The angular acceleration of a disk which rotates about a fixed axis is given by a = –k w, where the constant k = 0.5 sec-1. If the initial angular velocity of the disk is 400 rad/sec at time t = 0, determine its angular velocity:(a) after 9 seconds and,(b) after 9 revolutions.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
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Chapter8: Time And Time-related Variables In Engineering
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The angular acceleration of a disk which rotates about a fixed axis is given by a = –k w, where the constant k = 0.5 sec-1. If the initial angular velocity of the disk is 400 rad/sec at time t = 0, determine its angular velocity:
(a) after 9 seconds and,
(b) after 9 revolutions. 

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