contestada

Two sinusoidal waves traveling in opposite directions interfere to produce a standing wave with the wave function y = (2.00) sin(0.500x) cos(300t) where x and y are in meters and t is in seconds. (a) Determine the wavelength of the interfering waves. m (b) What is the frequency of the interfering wave? Hz (c) Find the speed of the interfering waves.

Respuesta :

Answer:

Part a)

[tex]\lambda = 4\pi[/tex]

Part b)

[tex]f = 47.7 Hz[/tex]

Part c)

[tex]v = 600 m/s[/tex]

Explanation:

Part a)

As we know that angular wave number is given as

[tex]k = \frac{2\pi}{\lambda}[/tex]

[tex]k = 0.500[/tex]

[tex]0.500 = \frac{2\pi}{\lambda}[/tex]

[tex]\lambda = \frac{2\pi}{0.500}[/tex]

[tex]\lambda = 4\pi[/tex]

Part b)

As we know that angular frequency is given as

[tex]\omega = 300 rad/s[/tex]

[tex]\omega = 2\pi f[/tex]

[tex]300 = 2\pi f[/tex]

[tex]f = \frac{300}{2\pi}[/tex]

[tex]f = 47.7 Hz[/tex]

Part c)

Speed of the wave is given as

[tex]v = \lambda \times frequency[/tex]

so we have

[tex]v = 4\pi \times 47.7[/tex]

[tex]v = 600 m/s[/tex]

Otras preguntas