The angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².
The angular acceleration of an object is the rate of change of anguar velocity of the object with time.
[tex]\alpha = \frac{\Delta \omega }{\Delta t}[/tex]
where;
Change in angular velocity of the wheel is calculated as follows;
[tex]\Delta \omega = 2 \ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} = 4\pi \ rad/s = 12.57 \ rad/s[/tex]
Change in time, Δt = 1 min = 60 s
The angular acceleration of the rotating wheel is calculated as follows;
α = (12.57) / (60)
α = 0.21 rad/s²
Thus, the angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².
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