Answer:
The amplitude after 75 s, x(t) = 0.558 m
Given:
Initial Amplitude, A = 1.8 m
time constant, [tex]\tau [/tex] = 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[tex]e^{-\frac{t}{2\tau}}[/tex]
Now, putting the value in the above relation:
x(t) = 1.8[tex]e^{-\frac{75}{2\times 32}}[/tex]
x(t) = 1.8[tex]e^{-1.17}[/tex]
x(t) = 0.558 m
