Answer:
A=1.0.34 m
Explanation:
Given that
f= 1 s
x= 1 m
v = 1.72 m/s
We know that angular frequency ω is given as
ω = 2 π f
Now by putting the values in the above equation
ω = 2 π x 1
ω= 2 π rad/s
The velocity v is given as
[tex]v=\omega\sqrt{A^2-x^2}[/tex]
A=Amplitude
[tex]1.72=2\times \pi\times \sqrt{A^2-1^2}[/tex]
[tex]A^2-1=\left(\dfrac{1.72}{2\pi}\right)^2[/tex]
[tex]A^2=\left(\dfrac{1.72}{2\pi}\right)^2+1[/tex]
[tex]A^2=1.07\\A=\sqrt{1.07}\ m\\A=1.034\ m[/tex]
A=1.0.34 m
