Answer:
A = 1.0m
Explanation:
In order to calculate the amplitude of the wave you take into account the general formula for a simple harmonic motion, which is given by:
[tex]x=Acos(\omega t)[/tex] (1)
A: amplitude
x: position = 0.5m
t: time = 4s
w: angular frequency of the wave
You calculate the angular frequency of the wave by using the information about the period of the wave:
[tex]\omega=\frac{2\pi}{T}=\frac{2\pi}{6s}=1.047\fra{rad}{s}[/tex]
Next, you solve the equation (1) for A, and replace the values of the other parameters:
[tex]A=\frac{x}{cos(\omega t)}=\frac{0.5m}{cos(1.047rad/s(4s))}=-1[/tex]
You take the absolute value of the amplitude.
The amplitude of the wave is 1.0 m
