Question

1. the empire state building sways back and forth every 7 seconds. what is its frequency? 2. what is the period of a water wave with the frequency of 0.35 hz?

Explanation:

Step1: Recall the relationship between period and frequency

The formula is $T=\frac{1}{f}$, where $T$ is the period and $f$ is the frequency.

Step2: Solve for the period in the first - question

Given $f = 0.35\ Hz$, substituting into the formula $T=\frac{1}{f}$, we get $T=\frac{1}{0.35}\ s\approx2.86\ s$.

Step3: Solve for the frequency in the second - question

Given $T = 7\ s$, substituting into the formula $f=\frac{1}{T}$, we get $f=\frac{1}{7}\ Hz\approx0.14\ Hz$.

Answer:

1. The frequency is $\frac{1}{7}\ Hz\approx0.14\ Hz$.
2. The period is $\frac{1}{0.35}\ s\approx2.86\ s$.