a boat moves up and down on a lake as a wave passes by. if the boat oscillates 10 times in 2 seconds, what…
a boat moves up and down on a lake as a wave passes by. if the boat oscillates 10 times in 2 seconds, what is the period of the wave?\n0.2 seconds\n2 seconds\n5 seconds\n10 seconds
Answer
Explanation:
Step1: Recall period - frequency relation
The frequency $f$ is the number of oscillations per second. Given the boat oscillates $n = 10$ times in $t=2$ seconds, so $f=\frac{n}{t}$. $f=\frac{10}{2}=5$ Hz.
Step2: Calculate the period
The period $T$ and frequency $f$ are related by the formula $T=\frac{1}{f}$. Since $f = 5$ Hz, then $T=\frac{1}{5}=0.2$ s.
Answer:
A. 0.2 seconds