An observation wheel is being modeled after the London Eye (shown below on the right). The new observation wheel will measure 425 feet in diameter and carries up to 800 passengers in 32 capsules. It turns continually, making one full rotation every 20 minutes and is 3 feet above the ground.
The question is "Write an equation for the central angle "theta" in terms on time "t" in radians per minute."
Answer All we really need to know is that the wheel revolves in one full circle in 20 minutes. A full circle is 2pi radians, so the rate of rotation is 2pi per 20 minutes or at a rate of 2pi/20 = pi/10 rad/sec. Therefore theta = (10/pi)t.
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college mathematics, applied math, advanced calculus, complex analysis, linear and abstract algebra, probability theory, signal processing, undergraduate physics, physical oceanography
26 years as a professional scientist conducting academic quality research on mostly classified projects involving math/physics modeling and simulation, data analysis and signal processing, instrument development; often ocean related
Publications J. Physical Oceanography, 1984 "A Numerical Model for Low-Frequency Equatorial Dynamics", with M. Cane
Education/Credentials M.S. MIT Physical Oceanography, B.S. UC Berkeley Applied Math
Past/Present Clients Also an Expert in Oceanography