Question

A harmonic wave travels in the positive x direction at 12 m/s along a taught string. A fixed point on the string oscillates as a function of time according to the equation

y = 0.038 cos(3t)
where y is the displacement in meters and the time t is in seconds
(a) What is the amplitude of the wave, in meters?
(b) What is the frequency of the wave, in hertz?
(c) What is the wavelength of the wave, in meters?

Answer 1

a.0.038m

b.0.47Hz

c.25.5m

Step-by-step explanation:

a.2πft=3t

divide both sides by t

2πf=3

2x3.14xf=3

6.28f=3(divide through by 6.28)

f=0.47Hz

b.v=fT

12=0.47xT

T=25.5m