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Why does an object traveling in a circle at a constant speed always accelerate ?
Because "acceleration" doesn't mean "speeding up". It means any change in the speed or direction of motion.
An airplane speeding up, a bicycle slowing down, and a car going around a curve, are all doing accelerated motion.
A circle has no straight parts, so an object traveling in a circle is always changing its direction. That means accelerated motion, even if its speed doesn't change..
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