A compact disc has a radius of 6 centimeters.

a. What is its circumference in meters?

b. If the CD rotates 4 times per second, what is the linear speed of a point on the outer edge of the CD? Give your answer in meters per second.

c. What is the linear speed of a point 3 centimeters from the center of the CD? (Assume the angular speed has not changed.)

Circumference is 2 π r = 37.7 (approx.) Speed is 4 times that. That is, 150.8 cm/s or 1.508 m/s. If we get a point at distance 3 cm, we take the radius half of that. The circumference also gets half, so does the linear speed. We get 0.754 m/s or 75.398 cm/s.

Answered by Anonymous | 2024-06-10

Answered by Skyyyy666 | 2024-06-12

The circumference of the CD is approximately 0.377 meters. The linear speed at the outer edge is approximately 1.508 m/s, and the linear speed at a point 3 cm from the center is approximately 0.754 m/s.
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Answered by Anonymous | 2024-10-11