Question

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 1.0 m 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 2.0 m/s. The relevant moment of inertia of the wheel is 25 kg m2 . Determine the work you have performed, the angular acceleration of the wheel while you’re pushing, and the magnitude of the force you apply to the peg.

Answer 1

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