Answer:
1.3m/s
Explanation:
Data given,
Mass,m=1.0kg,
Amplitude,A=0.10m,
Frequency,f=2.0Hz.
From the equation of a simple harmonic motion, the displacement of the object at a given time is define as
[tex]x=Acos\alpha \\[/tex]
we can express the velocity by the derivative of the displacement,
Hence
[tex]V=-Awsin\alpha \\[/tex]
at equilibrium, the velocity becomes
[tex]V=wA\\w=2\pi f[/tex]
Hence if we substitute values we arrive at
[tex]V=2\pi fA\\V=2\pi *2*0.1\\V=1.3m/s[/tex]
