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A car is moving at a rate of 55 mph and the diameter of its wheels is 2 feet.

A) Find the number of revolutions per minute the wheels are rotating.

B) Find the angular speed of the wheels in radians per minutes.

  • Trignometry -

    so the radius is 1 ft
    and the circumference is 2π

    55 mph = 55(5280)/60 ft/min
    = 4840 ft/min

    so rotations per min = 4840/2π
    = 770.31
    since 1 rotation is 2π radians
    angular speed = 4840/(2π) * 2π = 4840 radians/min

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