In that case, ω₀ will not be 0. The equation becomes:

250 - ω₀ =  α0.2
α = (250 - ω₀)/0.2
α = 1250 - ω₀/0.2 degrees/s² 

Therefore, we end with an additional term that needs to be added to the final angular velocity: -5ω₀
An initial velocity, ω₀, effectively reduces the required angular acceleration that is required.
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