Answer :
The constant angular acceleration of the wheel is approximately 32.35 rad/s².
To find the constant angular acceleration of the wheel, we can use the following equation:
ωf = ωi + αt
where
ωf is the final angular speed,
ωi is the initial angular speed,
α is the angular acceleration,
and t is the time interval.
Given:
ωf = 98.2 rad/s
ωi = 0 rad/s (since the wheel starts from rest)
t = 3.03 s
Using the equation, we can solve for α:
α = (ωf - ωi) / t
Substituting the given values:
α = (98.2 rad/s - 0 rad/s) / 3.03 s
α ≈ 32.35 rad/s²
Therefore, the constant angular acceleration of the wheel is approximately 32.35 rad/s².
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