To determine the acceleration required to reach an angular speed of 250 degrees/s in 0.2 seconds, we can use the formula:

angular speed (ω) = initial angular velocity (ω₀) + angular acceleration (α) * time (t)

We know that the initial angular velocity (ω₀) is 0 degrees/s because we are starting from rest. We also know that the final angular speed (ω) is 250 degrees/s, the time (t) is 0.2 seconds, and we are trying to find the angular acceleration (α). So we can plug in these values and solve for α:

ω = ω₀ + αt
250 = 0 + α0.2
α = 250/0.2
α = 1250 degrees/s²

Therefore, the acceleration required to reach an angular speed of 250 degrees/s in 0.2 seconds is 1250 degrees/s².
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