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If angular acceleration is constant, then angular velocity must be

A.constant
B.increasing or decreasing
C.equal to zero
D.none of the above

User Barbie
by
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1 Answer

5 votes

Final answer:

If angular acceleration is constant, the angular velocity is either increasing or decreasing at a steady rate, hence answer B is correct.

Step-by-step explanation:

If an object experiences constant angular acceleration, the angular velocity of the object is increasing or decreasing at a steady rate. Think of it similarly to how linear acceleration works with linear velocity. Just as a constant linear acceleration results in a linear velocity that either increases or decreases linearly with time, a constant angular acceleration will do the same with angular velocity. To exemplify, if you were to push a spinning toy top with a constant force, you would observe its spinning speed up smoothly if you are accelerating it or slow down smoothly if you are decelerating it.

The relationship between angular velocity and angular acceleration is given by the equation ω = ω_0 + αΔt, where α is the constant angular acceleration, ω_0 is the initial angular velocity, and ω is the angular velocity after time Δt has passed. The existence of a constant angular acceleration α implies that the angular velocity ω is changing over time, hence the correct answer is B. increasing or decreasing.

User Laszlo Boke
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