To determine a reasonable length of a cycle for a rider on a Ferris wheel, let's analyze each given option carefully:
1. 100 feet:
- This unit refers to a distance or length, not a measure of time. Ferris wheel cycles are generally described in terms of time taken to complete one full rotation, not the distance covered. Hence, this option is incorrect.
2. 10 miles per hour:
- This unit refers to speed, which measures how fast something is moving. While the speed of the Ferris wheel might be relevant in some contexts, it does not directly tell us the length of the cycle in terms of time. Therefore, this option is also incorrect.
3. 1 second:
- While theoretically possible, it is highly improbable for a Ferris wheel to complete a full cycle in just one second. Ferris wheels are designed to move at a pace that allows riders to enjoy the view and the experience safely. One second is unreasonably short and unsafe for such a ride. Thus, this option is unreasonable.
4. 1 minute:
- This option represents a realistic and reasonable length of time for a Ferris wheel to complete one full cycle. Ferris wheels typically rotate slowly enough to provide a pleasant experience and allow boarding and disembarking. A cycle duration of one minute allows for a smooth ride and the opportunity for riders to enjoy the view.
Considering the analysis above, the most reasonable choice for the length of a Ferris wheel cycle is:
1 minute.
