Representing Waves as Sine and Cosine Functions

Practice Questions

AP Physics 2 › Representing Waves as Sine and Cosine Functions

Questions

Which of the following electromagnetic waves has the highest frequency?

For open pipes, the formula for wave patterns at any given time can be given by a Fourier Sine Series which is given as the infinite sum:

$y(x)=\sum_{n=0}^{\infty} sin(\frac{n\pi x}{l})$ when is an integer, and is the length of the pipe. Each individual value of is called a harmonic.

What is the angular frequency of the second harmonic?

Equation of sound wave 1:

$A*sin(\omega_1t+\phi_1)$

Equation of sound wave 2:

$A*sin(\omega_2t+\phi_2)$

Determine at what time there will be complete constructive interference between the two if:

$\omega_1=.5\frac{\pi}{s}$

$\omega_2=1\frac{\pi}{s}$

$\phi_2=\pi$

$\phi_1=\frac{\pi}{2}$