A motor produces a time-dependent torque to spin up a flywheel. The torque is given by T (t) = (20/t) Nms. The flywheel is a cylindrical disk of mass 10kg and radius 0.2m. If it starts from rest, how long will it take to be rotating at 1000rad/s? By how much angle will the flywheel have rotated once it has reached that speed from rest? Lastly, make plots of angular acceleration versus time, and angular velocity vs time.
A motor produces a time-dependent torque to spin up a flywheel. The torque is given by T (t) = (20/t) Nms. The flywheel is a cylindrical disk of mass 10kg and radius 0.2m. If it starts from rest, how long will it take to be rotating at 1000rad/s? By how much angle will the flywheel have rotated once it has reached that speed from rest? Lastly, make plots of angular acceleration versus time, and angular velocity vs time.
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Transcribed Image Text:A motor produces a time-dependent torque to spin up
a flywheel. The torque is given by T (t) = (20/t)
Nms.
The flywheel is a cylindrical disk of mass 10kg and
radius 0.2m. If it starts from rest, how long will it take to
be rotating at 1000rad/s? By how much angle will the
flywheel have rotated once it has reached that speed
from rest? Lastly, make plots of angular acceleration
versus time, and angular velocity vs time.
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