math (trigonometry)

posted by Laura

A ferris wheel has a diameter of 100m and the bottom of the wheel is 4m above the ground. It rotates two times every 10 minutes. Using this information, complete each question.

c) Determine the angular velocity of the Ferris wheel in radians/second
d)How far (in meters) has the Ferris wheel travelled after 6 min?

Thank you, any help is really appreciated!

  1. John

    d) With a d=100 we know that the distance the wheel travels C=pi(d) so
    c=3.14159(100m)
    c=approx 314m to go around the ferris wheel once.
    But you can go twice 314(2) in 10 min
    so...
    setting up a proportion
    distance/time = distance/time
    618m/10min = x/6 min
    and solve for x

  2. Steve

    two turns every 10 minutes means

    2rev/10min * 2πrad/rev * 1min/60s = 4π/600 rad/s

  3. Laura

    Thank you both so much!

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