a.
The period of a wave is the length of one complete cycle. In this case, the equation of the wave is in the form y = A cos(Bθ), where A is the amplitude and B is the frequency. The period can be calculated using the formula T = 2π/B. In this case, B = 2π/3, so the period T = 2π / (2π/3) = 3. Therefore, the period of the wave is 3.
b.
The amplitude of a wave is the maximum value of the wave, which is half the difference between the maximum and minimum values. In this case, the equation of the wave is y = 14 cos(2π/3 θ), so the amplitude is 14. Therefore, the amplitude of the wave is 14.
A sound wave is modeled with the equation y=14cos2π3θ
a. Find the period. Explain your method.
b. Find the amplitude. Explain your method....
3 answers
use simpler terms
a. The period of the wave is the time it takes for the wave to complete one full cycle. In this case, the period is 3.
b. The amplitude of the wave is the maximum height of the wave. In this case, the amplitude is 14.
b. The amplitude of the wave is the maximum height of the wave. In this case, the amplitude is 14.