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solve only d)

A wheel is accelerated by a machine in order to rotate around its central axis. The angular velocity of a point on the rotating wheel is given by w(t) = 6 rad/s².t + 12 rad/s³.t², where t is given in seconds. a) Determine the angular position of that point, depending on t. b) Determine the angular acceleration of that point, depending on t. c) Assuming the wheel has the moment of inertia of a disk, determine the torque depending on t. d) Determine the work on the wheel depending on t. e) Determine the power of the machine, depending on t.
Transcribed Image Text:A wheel is accelerated by a machine in order to rotate around its central axis. The angular velocity of a point on the rotating wheel is given by w(t) = 6 rad/s².t + 12 rad/s³.t², where t is given in seconds. a) Determine the angular position of that point, depending on t. b) Determine the angular acceleration of that point, depending on t. c) Assuming the wheel has the moment of inertia of a disk, determine the torque depending on t. d) Determine the work on the wheel depending on t. e) Determine the power of the machine, depending on t.
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