Pre Calculus

The diameter of a ferris wheel is 250 feet and θ is the central angle formed as Dave travels around the wheel. Dave starts his ride at Point 0, makes 4 complete revolutions and stops at Point 1, 45 degrees from Point 0. If his ride takes 5 minutes, how fast was he going in miles per hour?

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  1. speed= radius*distance/time
    = radius*(2PI*4+PI/4)/(1/12)

    that gives it to you in feet/hour.

    no change it to mph by dividing by 5280

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    bobpursley
  2. A Ferris wheel has a radius of 50 feet. A person takes a seat and then the wheel turns 2pie/3. If it took 30 seconds for the wheel to turn 2pie/3, find (a). The distance the person traveled, (b). How fast the person was traveling, (c). The angular speed of the wheel.

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  3. C=3.14 * 250ft 785.4ft.=Circumference.

    Revs = 4 + (360-45) / 360,
    Revs = 4 + 315/360 = 4 7/8 = 4.875.

    V=4.875rev/5min * 60min/hr=58.5rev/hr,

    V=58.5rev/hr*785.4ft/rev*(1/5280)mi/ft
    = 8.7mi/hr.

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  4. CORRECTION:
    Revs = 4 + 45/360 = 4 1/8 = 4.125.

    V=4.125rev/5min * 60min/hr = 49.5rev/hr

    V=49.5rev/hr*785.4ft/rev*(1/5280)mi/ft
    = 7.36mi/hr.

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