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ksaimouli

  • 2 years ago

a compact disc has a radius of 6cm if the disc rotates about its central axis at a constant angular speed of 5 rev/s what is the total distance traveled by a point on the rim of the disc 40min

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  1. ksaimouli
    • 2 years ago
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    when i did \[\omega=\frac{ \theta }{ t }\]

  2. ksaimouli
    • 2 years ago
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    but why? (ur answer)

  3. ksaimouli
    • 2 years ago
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    it did not work

  4. Shane_B
    • 2 years ago
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    This question doesn't even require physics...it's purely mathematical: First, calculate the circumference of the circle. Then multiply that by 5 since it makes 5 revolutions per second. That will give you how far the dot traveled in 1 second. Then just multiply that times how many seconds are in 40 minutes.

  5. ksaimouli
    • 2 years ago
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    Can u show me in physics way

  6. Vincent-Lyon.Fr
    • 2 years ago
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    \(\omega=\frac{ \theta }{ t }\) is ok. You should just be careful to plug in the values in the right units.

  7. ksaimouli
    • 2 years ago
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    but @Vincent-Lyon.Fr i did not get the answer with this equation

  8. Vincent-Lyon.Fr
    • 2 years ago
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    Show us you numbers.

  9. ksaimouli
    • 2 years ago
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    \[\theta=10\pi(2400)\]

  10. Vincent-Lyon.Fr
    • 2 years ago
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    What the question asks is the DISTANCE travelled, not the angle swept during that time.

  11. ksaimouli
    • 2 years ago
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    Distance in rotation is nothing but the angle right?

  12. Vincent-Lyon.Fr
    • 2 years ago
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    No, distance is distance (in metres), and angle is angle (in radians).

  13. ksaimouli
    • 2 years ago
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    so i found theta so can i use s=r theta

  14. ksaimouli
    • 2 years ago
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    \[s=r \theta\]

  15. Vincent-Lyon.Fr
    • 2 years ago
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    Yep and you should find about 4.5 km

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