A damped pendulum has a period of 0.66 s and a time constant of 4.1 s. How many oscillations will this pendulum make before its
amplitude has decreased to 20% of its initial amplitude? N=_________.
1 answer:
Answer:2.44 oscillation
Explanation:
Damped oscillation equation
Xmax = Aexp(-t/Tc)
Tc=4.1
T=0.66
Xmax= 20% of A = 1/5A
suBstituting into the equation
1/5A= Aexp(-0.66/4.1)
1/5=exp(-0.66/4.1)
In1/5= 1.609
As the period is 0.66, the number of osscillation to gain such amplide is 1.609/0.66
which is 2.44
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