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3psilon

  • 2 years ago

A particle moves in a circle of radius 90m with a constant speed of 25 m/s . What is the angular velocity in radians per second about the center of the circle?

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  1. soty2013
    • 2 years ago
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    |dw:1351140725393:dw|

  2. Aperogalics
    • 2 years ago
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    2*pi*r=565.484 time taken =565.484/25=22.6194sec so \[\omega\]=2*pi/22.6194=0.2831rad/sec

  3. Aperogalics
    • 2 years ago
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    :)

  4. Algebraic!
    • 2 years ago
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    or V=r*omega omega =V/r

  5. 3psilon
    • 2 years ago
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    That's the route I went @Algebraic!

  6. 3psilon
    • 2 years ago
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    But I got a small number , how do i convert it into radians

  7. Aperogalics
    • 2 years ago
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    multiply it with (pi/180) which converts it into radians:)

  8. Algebraic!
    • 2 years ago
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    it's already in radians /sec

  9. Algebraic!
    • 2 years ago
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    .277777777777 rad.s/sec

  10. Algebraic!
    • 2 years ago
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    look at it this way... it's only going 25 m/s ... it's going to take a while to go around the circle once... 2pi/.2777777777 in fact, is how long one complete rev. will take...

  11. Algebraic!
    • 2 years ago
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    @aperogalics showed that explicitly...

  12. 3psilon
    • 2 years ago
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    ohh okay okay ! Thank you @Algebraic!

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