Final answer:
The number of consecutive hours required off when switching from Cycle 1 to Cycle 2 or vice versa is at least seven hours.
Step-by-step explanation:
The number of consecutive hours required off when switching from Cycle 1 to Cycle 2 or vice versa is at least seven hours. This is because the frequency of Cycle 1 is 3 hertz, and the frequency of Cycle 2 is 6 hertz. To calculate the number of hours required off, we can use the formula:
Hours off = 1 / (frequency of Cycle 2) - 1 / (frequency of Cycle 1)
Substituting the values, we get:
Hours off = 1 / 6 - 1 / 3 = 1/6 - 2 / 6 = -1/6 = -0.1667.
Since time cannot be negative, we take the absolute value of -0.1667, which is approximately 0.1667. Converting this into hours, we get 0.1667 x 60 = approximately 10 minutes. Therefore, the number of consecutive hours required off is at least seven hours.