Math Problem Statement

The frequency of a sound wave is 90Hz and its wavelength is 3.2m.  What is the speed of the sound wave?

Solution

The speed of a wave can be calculated using the formula:

Speed=Frequency×Wavelength\text{Speed} = \text{Frequency} \times \text{Wavelength}

Given:

  • Frequency f=90Hzf = 90 \, \text{Hz}
  • Wavelength λ=3.2m\lambda = 3.2 \, \text{m}

Substitute these values into the formula:

Speed=90Hz×3.2m=288m/s\text{Speed} = 90 \, \text{Hz} \times 3.2 \, \text{m} = 288 \, \text{m/s}

So, the speed of the sound wave is 288 m/s.

Would you like further explanation or help with another question?


Here are some related questions to explore:

  1. How does the medium affect the speed of sound?
  2. How can you find the speed of sound in air using temperature?
  3. What would happen to the speed of sound if the frequency or wavelength changes?
  4. How does the Doppler effect relate to the speed of sound?
  5. What is the relationship between the speed, frequency, and wavelength for other types of waves?

Tip: To calculate the speed of a wave, make sure the units of frequency and wavelength are consistent (e.g., Hz and meters).

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Math Problem Analysis

Mathematical Concepts

Wave Speed Calculation
Basic Physics of Waves

Formulas

Speed = Frequency × Wavelength

Theorems

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Suitable Grade Level

Grades 7-9