5. An FM radio station broadcasts electromagnetic waves at a frequency of 94.5MHz (equal to 94,500,000Hz These radio waves have a wavelength of 3.17 meters. What is the speed of the waves? square square square square

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5. An FM radio station broadcasts electromagnetic waves at a frequency of 94.5MHz (equal to 94,500,000Hz These radio waves have a wavelength of 3.17 meters. What is the speed of the waves? square square square square

Answer 1

### The speed of the electromagnetic waves is \( 299,865,000 \mathrm{m/s} \).

Answer 2

## Step 1: Understand the Given Values ### The frequency \( f \) of the FM radio station is \( 94.5 \mathrm{MHz} \) or \( 94,500,000 \mathrm{Hz} \). The wavelength \( \lambda \) of the radio waves is \( 3.17 \mathrm{meters} \). ## Step 2: Recall the Wave Speed Formula ### The speed \( v \) of a wave is given by the product of its frequency \( f \) and its wavelength \( \lambda \): \( v = f \cdot \lambda \). ## Step 3: Insert Given Values into the Formula ### Substitute \( f = 94,500,000 \mathrm{Hz} \) and \( \lambda = 3.17 \mathrm{meters} \) into the wave speed formula: \[ v = 94,500,000 \mathrm{Hz} \times 3.17 \mathrm{meters} \] ## Step 4: Solve for Speed \( v \) ### Calculate the product: \[ v = 299,865,000 \mathrm{m/s} \]

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5. An FM radio station broadcasts electromagnetic waves at a frequency of 94.5MHz (equal to 94,500,000Hz These radio waves have a wavelength of 3.17 meters. What is the speed of the waves? square square square square

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