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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=_________.

Respuesta :

Samueloladosu37

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