A ferris wheel at a carnival has a radius of 35 feet. Suppose it turns at a rate of 1 revolution per minute. (a) find the angular speed of the wheel in radians per minute. (b) find the linear speed of a passenger in miles per hour. (use the fact that =1mi5280ft.)
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Step-by-step explanation:
(a) 120 rev/hour * (2pi radians)/rev = 240pi radians/hour or about 754 radians/hour.
(b) 240pi radians/hour * 1 hour/ 60 min * 32ft/radian = 128pi ft/min or about 402 ft/min.
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