 Solution

ID: past-exam-of-the-year-2-of-the-earth-sciences-geology-course-of-the-university-of-oxford/2024/paper-3/8/a/vi/solution

The adequately sampled record shows a yearly cycle and a daily cycle. Up to exchanging their labels,

ω_{Y} = 2 π y r^{- 1}, ω_{D} = 2 π da y^{- 1} .

Using

365

days per year for numerical estimates,

ω_{Y} ≃ 1.99 \times 1 0^{- 7} rad s^{- 1}, ω_{D} ≃ 7.27 \times 1 0^{- 5} rad s^{- 1} .

These are angular frequencies. The corresponding ordinary frequencies are

1 y r^{- 1}

and

1 da y^{- 1}

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