Question

Two waves are combined to form this standing wave equation of

y(x,t) = (3 mm)sin[x/(2 m]cos[(100 rad/s)t]

a. What's the amplitude of the right moving wave and left moving wave?

b. What's the wavelength of the right moving wave and left moving wave?

c. What's the velocity of the right moving wave and the left moving wave?

Answer 1

a)
when they add up, the maximum will be twice the amplitude of the individual right and left waves so 1.5 mm each

b)
a wavelength is when x/2 = 2 pi
or x = 4 pi

c) 2 pi f = 100 and lambda = 4 pi
T = 2 pi/100 = pi/50
distance = rate * time
4 pi = speed * pi/50
speed = 50/4 = 12.5 m/s
one is +12.5 and the other is -12.5

Answer 2

Thanks.