A Giant Wheel, 40 M in Diameter, Is Fitted with a Cage

question 46

Multiple Choice

A giant wheel, 40 m in diameter, is fitted with a cage and platform on which a man can stand. The wheel rotates at such a speed that when the cage is at X (as shown) the force exerted by the man on the platform is equal to his weight. The speed of the man is:

• A) 14 m/s
• B) 20 m/s
• C) 28 m/s
• D) 80 m/s
• E) 120 m/s

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Definitions:

Standard Normal Distribution

A specific type of normal distribution with a mean of 0 and a standard deviation of 1, used in many areas of statistical analysis.

Mean

The arithmetic average of a set of values, calculated by adding them together and dividing by the number of terms.

Normal Distribution

It's a probability distribution with symmetry about the mean, proving that data points near the mean have a higher frequency of occurrence compared to those further away.

Mean

The arithmetic average of a set of numbers, obtained by dividing the sum of the numbers by the count of numbers.