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katovenus [111]
4 years ago
6

Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 500 rpm, and the piece of dust is 4.3 cm from the ce

nter, what is the total distance traveled by the dust in 3 minutes? (Ignore accelerations due to getting the CD rotating.)
Physics
1 answer:
labwork [276]4 years ago
8 0

Answer:

405.3m

Explanation:

Since the CD spin rate is 500 rpm, or revolution per minutes, its angular speed in rad per second is

\omega = 500 rev/min * 2\pi rad/rev * 1/60 min/sec = 52.36 rad/s

The dusk is 4.3 cm from center, so its velocity must be

v = R\omega = 4.3 * 52.36 = 225.14 cm/s

Then the distance traveled by the dusk after 3 minutes, or 180 seconds is

d = v*t = 225.14 * 180 = 40526.54 cm or 405.3m

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