On a very long flexible string, a sinusoidal wave train is
y(x, t) = (3.0 cm) sin((π/2 cm−1)x − (4π s−1)t)
where y is the upward or downward displacement of each bit of
string from its equilibrium level, and x is the horizontal distance
on the string.
a. Are the waves heading towards the +x direction or x
direction? How can you tell?
b. What is the speed v of the wave?
c. In one second, how many complete oscillations does a single
point on the string execute? In other words, if you were looking at
a point at a fixed horizontal position on the string, how many
cycles does this point go through in one second?
d. Draw the wave at t=0s. Draw it again at t=0.25s. What do you
notice about it?