Part A. What is the amplitude of the oscillation shown in (Figure 1) ?
Part B.What is the frequency of the oscillation shown in the figure?
Part C. What is the phase constant of the oscillation shown in the figure? Suppose that ?180? ? ?0 ?180?.
Answer
A) Find the amplitude of oscillation as follows:
A=10 \mathrm{~cm}
B) Find the frequency of oscillation as follows:
\begin{aligned} f &=\frac{1}{T} \\ &=\frac{1}{4} \\ &=0.25 \mathrm{~Hz} \end{aligned}
C) Find the phase constant of oscillation as follows:
x=A \sin (\omega t+\phi)
-5=10 \sin (2 \pi(0.25)+\phi)
\sin (2 \pi(0.25)+\phi)=-0.5
(2 \pi(0.25)+\phi)=\sin ^{-1}(-0.5)
\left(90^{\circ}+\phi\right)=-30^{\circ}
\phi=-120^{\circ}
