difference between periodic motion and uniform motion
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One of the hardest things about composing tests is to make sure the questions are not ambiguous. For this question to be un-ambiguous, the teacher must have provided a definitive and complete definition of the characteristics each of the potential answers and expect the student to understand and apply them.
As it is presented to us, the question is ambiguous to the extent that any answer except perpetual motion could be correct. It could be periodic in the sense that the hand returns to a given position repeatedly at equal time intervals; it could be variable in that the acceleration experienced by any point on the hand changes constantly and it could be uniform in that the speed of any point on the hand stays the same at all times (as opposed to its velocity which changes constantly).
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The word periodic refers to something that repeats after a regular amount of time.uniformly (time) this periodic motion takes place.
Uniform motion is when an object travels equal distances in equal intervals of time.
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