The graphs below show angular velocity omega | vedclass

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(A) The angular acceleration $\alpha$ is defined as the rate of change of angular velocity with respect to time,given by $\alpha = \frac{d\omega}{dt}$

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(A) The angular acceleration $\alpha$ is defined as the rate of change of angular velocity with respect to time,given by $\alpha = \frac{d\omega}{dt}$.Graphically,$\alpha$ represents the slope of the $\omega-t$ graph.The magnitude of the angular acceleration is $|\alpha| = |\frac{d\omega}{dt}|$,which corresponds to the steepness (absolute value of the slope) of the tangent to the curve at any point.In graph $A$,the curve starts with a steep slope and becomes flatter as $t$ increases. This means the slope $\frac{d\omega}{dt}$ is positive and its magnitude is decreasing over time.In graph $B$,the slope is constant,so $\alpha$ is constant.In graph $C$,the slope is constant (negative),so the magnitude of $\alpha$ is constant.In graph $D$,the curve becomes steeper as $t$ increases,meaning the magnitude of the slope is increasing.Therefore,the magnitude of the angular acceleration is constantly decreasing in graph $A$.

The graphs below show angular velocity $\omega$ as a function of time $t$. In which one is the magnitude of the angular acceleration $\alpha$ constantly decreasing?

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