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.
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.
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solve a and b please
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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