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A Ferris wheel has a diameter of 10 meters and is rotating at the rate of 500 meters per minute. Find its angular velocity in radians per second.

Answer :

Final answer:

The angular velocity of the ferris wheel is 1.67 radians/sec.


Explanation:

The angular velocity of the ferris wheel can be found using the formula: angular velocity = linear velocity / radius. The linear velocity can be calculated by converting the given speed of 500 m/min to m/s, and the radius is half of the diameter, which is 5 meters. So, the angular velocity is 500 m/min ÷ 60 s/min ÷ 5 m = 1.67 radians/sec.


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