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Math Help - Angular Velocity

  1. #1
    Senior Member sakonpure6's Avatar
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    Angular Velocity

    The members of a high school basket ball team are driving from Calgary to Vancouver, which is a distance of 675km. Each tire on their van has a radius of 32 cm . If the team members drive at a constant speed and cover the distance in 6h45min, what is the angular velocity, in radians/second of each tire during the drive?
    Angular Velocity = 2pi / period
    = 2pi / (24300s / 67500000)
    = 17453
    This looks wrong to me. How do you solve it?
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  2. #2
    MHF Contributor
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    Re: Angular Velocity

    You don't get the period if you divide total time by total distance. Rather, you should first find the number of rotations by dividing the distance by the circumference. Then you get the period by dividong the time by that number. Note that 2\pi cancels in the final answer.
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