Question

calculating wave speed
a wave has a frequency of 35 hz and a wavelength of 15 meters, what is the speed of the wave?
a wave has a frequency of 67 hz and a wavelength of 26 meters, what is the speed of the wave?
a wave has a frequency of 11 hz and a wavelength of 9 meters, what is the speed of the wave?
create your own
using the wave and a ruler, create your own wave speed math problem.
what is the answer to your wave speed problem?
© secondary sparks 2021

Explanation:

Step1: Recall wave speed formula

The wave speed formula is $v = f \times \lambda$, where $v$ = wave speed, $f$ = frequency, $\lambda$ = wavelength.

Step2: Solve first wave speed

Substitute $f=35\ \text{Hz}$, $\lambda=15\ \text{m}$
$v = 35 \times 15 = 525\ \text{m/s}$

Step3: Solve second wave speed

Substitute $f=67\ \text{Hz}$, $\lambda=26\ \text{m}$
$v = 67 \times 26 = 1742\ \text{m/s}$

Step4: Solve third wave speed

Substitute $f=11\ \text{Hz}$, $\lambda=9\ \text{m}$
$v = 11 \times 9 = 99\ \text{m/s}$

Step5: Create sample wave speed problem

1. Measure wavelength: Assume the wave spans 10 total units, with 10 full cycles. Wavelength $\lambda = \frac{10}{10} = 1$ unit.
2. Assign frequency: Let $f=20\ \text{Hz}$.
3. Write problem: "A wave has a frequency of 20 Hz and a wavelength of 1 meter. What is the speed of the wave?"
4. Solve sample problem: $v = 20 \times 1 = 20\ \text{m/s}$

Answer:

1. 525 m/s
2. 1742 m/s
3. 99 m/s
4. Sample problem: A wave has a frequency of 20 Hz and a wavelength of 1 meter. What is the speed of the wave?; Sample answer: 20 m/s