Adamped oscillator has an initial amplitude of 1.8 m and a time constant of 32 s. what is its amplitude after 75 s?

The amplitude after 75 s, x(t) = 0.558 m

Given:

Initial Amplitude, A = 1.8 m

time constant, = 32 s

Solution:

Now, to calculate the amplitude of the damped oscillation after 75 s, we use the relation:

Amplitude after 75 s, x(t) = A        

Now, putting the value in the above relation:

x(t) = 1.8

x(t) = 1.8

x(t) = 0.558 m

the device is called “ rocket engine”