Final angular speed (ωf) = 250 degrees/s
Time (t) = 0.2 s
Initial angular speed (ωi) = 0 degrees/s (assuming you start from rest)
We need to find the angular acceleration (α).

First, let's convert the angular speed from degrees/s to radians/s, because it is customary to use radians in physics calculations:

ωf = 250 degrees/s * (π radians / 180 degrees) ≈ 4.3633 radians/s

Now, we can use the formula for angular motion:

ωf = ωi + αt

Since ωi = 0, the equation simplifies to:

ωf = αt

Now, we can solve for the angular acceleration (α):

α = ωf / t
α = 4.3633 radians/s / 0.2 s
α ≈ 21.8165 radians/s²

So, the required angular acceleration is approximately 21.8165 radians/s².
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