Question

you notice that a wave completes 1.2 cycles in 2.5 seconds. what is the period of the wave?

Explanation:

Identify the given values

We are given the following parameters:

• Number of cycles completed: \(N = 1.2\text{ cycles}\)
• Total time elapsed: \(t = 2.5\text{ seconds}\)

Define the target unknown

We need to find the period of the wave, denoted as \(T\).

State the applicable formula

The Wave Period \(T\) is the time required to complete one full cycle:

$$T = \frac{t}{N}$$

Calculate the wave period

Substitute the given values into the formula:

$$T = \frac{2.5\text{ s}}{1.2}$$

$$T \approx 2.0833\text{ s}$$

Round to appropriate significant figures

Since the given values \(1.2\) and \(2.5\) both have two significant figures, we round our final answer to two significant figures:

$$T \approx 2.1\text{ s}$$

Answer:

\(2.1\text{ s}\)