On the TV show “Wheel of Fortune”, you get to spin the big wheel, a horizontal disc
with a vertical axis through its center. It has pegs at its edge at a distance of 1.0m
from the axis that you can grab in order to spin the wheel. Standing a little outside
the wheel, you’re only able to apply a horizontal force to the peg that’s not purely
tangential, but is oriented at an angle of 19o to the tangent of the disc. Starting from
the wheel at rest, you manage to apply a force of constant magnitude through 0.11
radians of rotation of the disk before you have to let go of the peg. Afterwards, the
peg is moving at a speed of 2.0m/s. The relevant moment of inertia of the wheel is 25kgm2 .
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