© Department of Physics, University of Guelph.

1. A wave has equation
y=4sin(3pt - 6px) (SI units).

(a) Is the wave travelling to the right or left?

(b) What is the amplitude, period, wavelength, wave vextor,
frequency, angualr frequency (all with units)?

(c) Sketch a graph of this wave at 0.900 s.

(d) Sketch a graph of the displacement vs. time at a position x = 0.400 m.

2. The incident wave in problem 1 and the reflected wave
y= -4sin(3pt + 6px) produce a standing wave.

(a) Write the equation of the standing wave.

(b) Sketch the standing wave at t=0 s, t = T/4 s, t = 3/15 T.

3. An incident wave y= -4sin(3pt
- 6px) and a reflected wave y= 4sin(3pt + 6px)
produce a standing wave. What is its equation?

4. A standing wave of the equation y = -6cos(6t)sin(4x) is formed from a reflected wave moving to the right, and an incident wave moving to the left. What are the equations of the incident and reflected waves?