y=0,2 sin(8rt-2)
where y is the transverse displacement of a point on the wave at a distance x
from the origin after a time t and the relevant units are metres and seconds.
(1) What is the amplitude of this wave movement?
(2) What is the wave length?
(3) At what speed does the wave move?
(4) What is the frequency of the source that caused the disturbance (wave)?
(5) Write down an equation that describes the movement of a point at a distance
of 2,5 m from the origin.
8. Calculate the displacement of a particle at a distance of 3 m from the origin
(where the vibration started) after 15 s, when a plane progressive wave with
velocity 12 m.s?¹, amplitude 0,5 m and wave length 4 m moves in the positive
x-direction through the medium.
9. What is the angular velocity of a particle 10 cm from 0, whose displacement is
2?, 2 s after a wave (with a wave length of 3 m) started moving at the origin in a
positive x-direction? What is the angular velocity of any other particle on the
wave?
10. Calculate the amplitude, frequency and phase shift of a plane progressive wave with
equation:
y = 0,3 sin(t-1) cos(x-1)
of which all units are SI.
6.4.2 Superposition of two sine waves
V=\frac{d}{t}
d=(12\times15)=180m
Acomming to the principle of superposition of waves, when two waves meet in a medium