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A spinning disc rotating at 130 rev/min slows and stops 31 s later. How many revolutions did the disc make during this time?
A spinning disc rotating at 130 rev/min slows and stops 31 s later. How many revolutions did the disc make during this time?
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The disc is initially spinning at 130 rev/min, which is equivalent to 130/60 = 2.17 rev/s.
Since the disc is slowing down uniformly, its average speed during the 31 seconds is half its initial speed, or 2.17/2 = 1.085 rev/s.
Therefore, during the 31 seconds, the disc makes 1.085 * 31 = 33.635 revolutions.
Since a disc can't make a fraction of a revolution, we round this to the nearest whole number, so the disc makes approximately 34 revolutions.
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