Question

what is the wavelength of a wave that has a speed of 710 m/s and a frequency of 1100 hz?

Explanation:

Identify given values

We are given:

• Wave speed \(v = 710\text{ m/s}\)
• Wave Frequency \(f = 1100\text{ Hz}\)

State the formula

The wave equation relates speed, frequency, and wavelength:

$$v = f \cdot \lambda$$

Solve for wavelength

Rearranging the equation to solve for wavelength \(\lambda\):

$$\lambda = \frac{v}{f}$$

Calculate the value

Substitute the given values:

$$\lambda = \frac{710\text{ m/s}}{1100\text{ Hz}} \approx 0.65\text{ m}$$

Answer:

\(0.65\text{ m}\)