Answer:
time constant of the damping 130 seconds
Explanation:
given data
amplitude A1 = 1.6 m
time t = 1.5 min = 90 sec
amplitude A2 = 0.80 m
to find out
time constant of the damping
solution
we know here that maximum amplitude at time t is express as
A2 = A1 × e[tex]e^{\frac{-t}{b} }[/tex] .............a
here b is time constant
so b will be from equation 1
b = [tex]\frac{t}{ln(\frac{A1}{A2} )}[/tex] ............b
put here all value top find b
b = [tex]\frac{90}{ln(\frac{1.6}{0.80} )}[/tex]
b = [tex]\frac{90}{ln(2)}[/tex]
b = 129.84
so time constant of the damping 130 seconds
