Question

the traveling wave above has a wavelength of 2 meters and frequency of 400 Hz. Find the speed and period of the wave

Answer 1

The traveling wave above has a wavelength of 2 meters and frequency of $400\mathrm{Hz}$. Find the speed and period of the wave.

**Solution.**

$$\lambda = 2m, f = 400\mathrm{Hz};$$ $$v - ? T - ?$$

The wavelength is given by:

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

$\lambda$ – the wavelength;

$v$ – the speed of the wave;

$f$ – the frequency of the wave.

The speed of the wave is:

$$v = \lambda f.$$ $$v = 2 \cdot 400 = 800 \left(\frac{m}{s}\right).$$

The period is given by:

$$T = \frac{1}{f};$$

$T$ – the period of the wave.

$$T = \frac{1}{400} = 0.0025(s).$$

**Answer:**

The speed of the wave is: $v = 800 \frac{m}{s}$.

The period of the wave is: $T = 0.0025s$.