The radial acceleration is 80.27 m/s2.
The angular acceleration of the wheel is 3.00 rad/s2. In order for the wheel to complete two revolutions, it must have an angular displacement of 2π radians. Using the equation a = ω²r, we can calculate the radial acceleration of the wheel. Here, ω is the angular velocity, which is equal to the product of angular acceleration and time, 3.00 rad/s2 × t. Since the wheel has completed two revolutions, the total time elapsed is 2π/3.00 s. Plugging in these values, we get a = 3.00 × (2π/3.00)2 × (40.0/2) = 80.27 m/s2. Therefore, the radial acceleration of the wheel is 80.27 m/s2.
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