Question

The displacement of an object is given by x =sin2pi (t+0.01)m. Find amplitude of the oscillatory motion ,time period, maximum velocity , maximum acceleration and initial displacement

Answer 1

$A=1~m,$

$T=\frac{2\pi}{\omega}=1~s,$

$v=\omega A=6.3~\frac m s,$

$a=\omega v=39.5~\frac m{s^2},$

$x_0=\sin 0.02\pi=0.06~m.$