3.32m.
The equation for wave motion of a mass-spring scenario is:
x = Acos(wt + (phi))
Period (T) = 2(pi)/w
Therefore
w = 2(pi)/4.6 = 1.3659 rad/s
when the mass has zero speed it is at its max/min position, therefore
A = 0.083 m
dx/dt = -wAsin(wt + (phi))
dx/dt= 0 = -wAsin(0 + (phi))
so
(phi) = 0
dx/dt = -(1.3659)(0.083)sin(1.3659 t)
a = -(1.3659)^2*(0.083)cos(1.3659 t)
at t = 2.5s
a = 0.149m/s^2
= 14.9cm/s^2
D-- 14.9 cm/s^2
What does it mean if something is oscillating?
Definition of oscillating
1a: to swing backward and forward like a pendulum The fan was oscillating.
b: to move or travel back and forth between two points he oscillates regularly between his comfortable home, and his downtown office laboratory— Gladwin Hill.
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