What is the velocity of a wave that has a frequency of 250Hz and a wavelength of 1.5m?
Understand the Problem
The question asks to calculate the velocity of a wave, given its frequency and wavelength. We will use the formula v = fλ, where v is the velocity, f is the frequency, and λ is the wavelength to solve the problem.
Answer
The velocity of the wave is $375 \, \text{m/s}$.
Answer for screen readers
The velocity of the wave is $375 , \text{m/s}$.
Steps to Solve
- Identify the given values
The problem provides the following values: Frequency $f = 250 , \text{Hz}$ Wavelength $\lambda = 1.5 , \text{m}$
- Apply the formula
We use the formula for wave velocity: $v = f\lambda$
- Substitute the given values into the formula
Substitute $f = 250 , \text{Hz}$ and $\lambda = 1.5 , \text{m}$ into the formula: $v = (250 , \text{Hz}) \times (1.5 , \text{m})$
- Calculate the velocity
$v = 375 , \text{m/s}$
The velocity of the wave is $375 , \text{m/s}$.
More Information
The velocity of a wave is determined by both its frequency and wavelength. Higher frequency or longer wavelength will result in a faster wave velocity.
Tips
A common mistake is using the wrong units or not converting units to be consistent (e.g., using cm instead of meters). For this problem, the units are already consistent (Hz and m), so we can directly apply the formula.
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