Singapore Ferris wheel with 30 minutes of revolution time

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SUMMARY

The Singapore Flyer, standing at 315 meters tall with a diameter of 150 meters, completes one full revolution in 30 minutes. A 3-hour ride allows for 6 revolutions, resulting in a total distance traveled of approximately 2,827.43 meters. This distance can be converted to miles using online tools, yielding about 1.76 miles. The formula for calculating the distance traveled is based on the circumference of the Ferris wheel, expressed as \( n\pi d \), where \( n \) is the number of revolutions and \( d \) is the diameter.

PREREQUISITES
  • Understanding of basic geometry, specifically circumference calculations
  • Familiarity with unit conversion, particularly meters to miles
  • Knowledge of the mathematical constant π (pi)
  • Basic arithmetic skills for performing calculations
NEXT STEPS
  • Learn how to calculate the circumference of circles using the formula \( C = \pi d \)
  • Research methods for converting units of measurement, focusing on metric to imperial conversions
  • Explore the mathematical significance of the constant π in various applications
  • Investigate the engineering principles behind large amusement rides like the Singapore Flyer
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Mathematicians, physics students, engineering enthusiasts, and anyone interested in the mechanics of amusement rides and unit conversions.

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The Singapore Flyer is a very tall Ferris wheel.It is 315 meters tall and has a diameter of 150 meters. Each revolution takes about 30 minutes. If you were allowed to ride for 3 hours, how far would you travel? How much of a mile or how many miles would you travel?
 
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A period of revolution of 30 minutes would mean that a 3 hour ride would be how many revolutions?

Total distance traveled by a rider would be that number of circumferences ... $ n\pi d$, where $n$ is the number of revolutions and $d$ is the wheel's diameter.

Since diameter is given in meters, calculate the total distance in meters, then convert to miles. One can do that on Google by typing in meters to miles in the search box.
 

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