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The equation of a wave is given as y = 60 cos (180π − 6x). Find the frequency of the wave.

1. Frequency = 30 Hz
2. Frequency = 60 Hz
3. Frequency = 90 Hz
4. Frequency = 120 Hz

Correct answer: Frequency = 30 Hz

Solution

The general wave equation is y = A cos(ωt - kx), where ω = 2πf. Here, ω = 180π, so 2πf = 180π. Solving for f, we get f = 90 Hz. Thus, the frequency of the wave is 90 Hz.

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