6 Calculate the wavelength of a wave with
a speed of and the frequency of 50

Ask by Mcguire Ramirez. in South Africa

Jan 23,2025

Question

6 Calculate the wavelength of a wave with a speed of $$ 80 \mathrm{~m} \cdot \mathrm{~s}^{-1} $$ and the frequency of 50

UpStudy AI · Accepted Answer

To calculate the wavelength ($$ \lambda $$) of a wave, you can use the basic wave equation:

$$
v = f \lambda
$$

Where:
- $$ v $$ is the speed of the wave,
- $$ f $$ is the frequency,
- $$ \lambda $$ is the wavelength.

**Given:**
- Speed, $$ v = 80 \, \mathrm{m/s} $$
- Frequency, $$ f = 50 \, \mathrm{Hz} $$

**Step-by-Step Calculation:**

1. **Rearrange the wave equation to solve for wavelength ($$ \lambda $$):**

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

2. **Plug in the given values:**

$$
\lambda = \frac{80 \, \mathrm{m/s}}{50 \, \mathrm{Hz}}
$$

3. **Calculate the wavelength:**

$$
\lambda = 1.6 \, \mathrm{meters}
$$

**Answer:**

The wavelength of the wave is $$ 1.6 \, \mathrm{meters} $$.
The wavelength is 1.6 meters.

6 Calculate the wavelength of a wave with
a speed of and the frequency of 50