A wave is given by the equation $y ( x , t ) = 4.0 \cos ( 6 \pi x - 10 \pi t )$ m. The frequency of the wave is
A) 3 Hz.
B) 5 Hz.
C) 5/3 Hz.
D) 1/5 Hz.
E) 1/3 Hz.

Question

Quizplus · Accepted Answer

The frequency of a wave is given by the coefficient of $t$ in the wave equation, divided by $2\pi$. In the given equation, $y(x, t) = 4.0 \cos(6\pi x - 10\pi t)$, the coefficient of $t$ is $10\pi$. Therefore, the frequency $f = \frac{10\pi}{2\pi} = 5$ Hz.

A Wave Is Given by the Equation y(x,t)=4.0cos⁡(6πx−10πt)y ( x , t ) = 4.0 \cos ( 6 \pi x - 10 \pi t )y(x,t)=4.0cos(6πx−10πt)

A Wave Is Given by the Equation $y ( x , t ) = 4.0 \cos ( 6 \pi x - 10 \pi t )$