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A fan blade initially spinning clockwise is slowing down. What are the signs of its angular velocity and angular acceleration?

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Final answer:

Angular velocity and angular acceleration for a fan blade initially spinning clockwise and slowing down are both negative, as deceleration occurs in the opposite direction of the spinning motion.

Step-by-step explanation:

When a fan blade initially spinning clockwise is slowing down, it has a negative angular velocity (since clockwise rotation is taken as negative by convention). As the fan is coming to a stop, its angular acceleration is also negative because deceleration occurs in the opposite sense to the spinning direction. Specifically, for an object spinning clockwise and slowing down, both angular velocity and angular acceleration will be negative since the direction of slowing down is counterclockwise, which is opposite to the initial spinning direction.

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User Khabir
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