Two waves are described by y₁ = 6 cos 180t and y₂ = 6 cos 186t, (both in meters) .
What effective frequency does the resultant vibration have at a point?

Question

Quizplus · Accepted Answer

To find the effective frequency of the resultant vibration, we need to find the frequency at which the two waves have the same phase. This can be found by setting the argument of the cosine functions equal to each other:
180t = 186t - 2π
Solving for t, we get:
t = π/3 * 10^-3 s
This corresponds to a frequency of:
f = 1/(2t) = 183 Hz
Therefore, the answer is B.

Two Waves Are Described by Y1 = 6 Cos 180t

Two Waves Are Described by Y₁ = 6 Cos 180t