Answer:
The time for the amplitude of the oscillation is 14.82 sec.
Explanation:
Given that,
Mass of object = 17.6 kg
Spring constant k= 20.0 kN/m
Damping coefficient b= 6.69 kg/s
Amplitude A= 5.98%
We need to calculate the time for the amplitude of the oscillation
Amplitude at any time is given as
[tex]A_{t}=A_{0}e^{\dfrac{-bt}{2m}}[/tex]
Put the value into the formula
[tex]0.0598 A_{0}=A_{0}e^{\dfrac{-6.69\times t}{2\times17.6}}[/tex]
[tex]0.0598=e^{\dfrac{-6.69\times t}{2\times17.6}}[/tex]
[tex]t=14.82\ sec[/tex]
Hence, The time for the amplitude of the oscillation is 14.82 sec.
