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Math Help - [SOLVED] Trigonometry test question

  1. #1
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    Exclamation [SOLVED] Trigonometry test question

    There are three rollers under a conveyor belt, and each roller has a radius of 8 centimeters. The rollers turn at a rate of 2 revolutions per second. What is the linear velocity of the conveyor belt? (the centimeters has to be converted into meters.)

    PLEASE HELP ME. THANKS.
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  2. #2
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    The question you are asking seems to be a basic question of physics.

    the linear velocity of any point rotating about a fixed axis with an angular velocity of  \omega is  r \omega where r is the distance between the point and axis.

    The conveyor belt must be moving at the same speed as the rollers (at the point of contact ) therefore  v = r \omega where r is the radius of the rollers i.e. 0.08 m. remember \omega is the rate of change of the angle . the rollers turn 2 revolutions in a second .therefore they turn at the rate of  4 \pi per second .
    impling  v = 0.08 \times 4\pi .
    Last edited by mr fantastic; February 1st 2009 at 02:30 AM. Reason: Fixed the latex
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